Probability

Problem 901

pst-test Question 9, 11.3.11 HW Score: $38.75 \%, 7.75$ of 20 points Points: 0 of 1 Save
At the Royal Dragon Chinese restaurant, a slip in the fortune cookies indicates a dollar amount that will be subtracted from your total bill. A bag of 10 fortune cookies is given to you from which you will select one. If five fortune cookies contain " $\$ 1$ off," four contain "\ $3 off," and one contains "$ \ $7$ off," determine the expectation of a selection. $\square$ dollars off (Round to the nearest cent.)

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Problem 902

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and $30 \%$ are teachers. Given that an attendee is a teacher, $55 \%$ are females. What is the probability that a randomly selected attendee is both a teacher and a female?

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Problem 903

Question Find the area to the left of the $z$ -score -1.35 under the standard normal curve. \begin{tabular}{c|ccccccccccc} z & $\mathbf{0 . 0 0}$ & $\mathbf{0 . 0 1}$ & $\mathbf{0 . 0 2}$ & $\mathbf{0 . 0 3}$ & $\mathbf{0 . 0 4}$ & $\mathbf{0 . 0 5}$ & $\mathbf{0 . 0 6}$ & $\mathbf{0 . 0 7}$ & $\mathbf{0 . 0 8}$ & $\mathbf{0 . 0 9}$ \\ \hline $\mathbf{- 1 . 5}$ & 0.0668 & 0.0655 & 0.0643 & 0.0630 & 0.0618 & 0.0606 & 0.0594 & 0.0582 & 0.0571 & 0.0559 \\ $-\mathbf{1 . 4}$ & 0.0808 & 0.0793 & 0.0778 & 0.0764 & 0.0749 & 0.0735 & 0.0721 & 0.0708 & 0.0694 & 0.0681 \\ $\mathbf{- 1 . 3}$ & 0.0968 & 0.0951 & 0.0934 & 0.0918 & 0.0901 & 0.0885 & 0.0869 & 0.0853 & 0.0838 & 0.0823 \\ $\mathbf{- 1 . 2}$ & 0.1151 & 0.1131 & 0.1112 & 0.1093 & 0.1075 & 0.1056 & 0.1038 & 0.1020 & 0.1003 & 0.0985 \\ $\mathbf{- 1 . 1}$ & 0.1357 & 0.1335 & 0.1314 & 0.1292 & 0.1271 & 0.1251 & 0.1230 & 0.1210 & 0.1190 & 0.1170 \end{tabular}
Use the value(s) from the table above.
Provide your answer below:

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Problem 904

According to a study, $40\%$ of people have more than \$10,000 in credit card debt. Suppose that for a particular credit card company, 60 of its customers are currently online making a payment.
Use the graph below to calculate the probability that of those 60 customers, between 21 and 23 of them have more than \ $10,000 in credit card debt.<br />1. Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.)<br />2. Use the Central Limit Theorem to find$ \hat{p} $and$ \sigma_{\hat{p}} $.<br />3. Calculate the$ z $-score for$ \hat{p} $and move the slider along the$ x $-axis to the appropriate$ z$-score.
4. The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve.
Remember, do not round any values or change fractions to approximated decimals during calculations. Only round the calculated $z$ -score to two places and all other final answers to three decimal places.
Move the blue dot to choose the configuration
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
assistant: Hi there! It looks like you have a probability problem involving the Central Limit Theorem and calculating $z$ -scores. However, we need a bit more information to fully help you solve it.
Could you let us know which specific graph or configuration you are looking to calculate with? Also, it would be helpful to have the graph or any numerical values that might be missing. This will allow us to proceed with the calculations for the probability that between 21 and 23 out of the 60 customers have more than $10,000 in credit card debt.
Once we have that information, we'll be able to guide you step-by-step to find the probability you're looking for!
user: I uploaded an image and extracted the following: * Text: $\begin{array}{l}\sigma_{p}=\square \\ P(21 \leq X \leq 23)=\end{array}$

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Problem 905

02/11/2024
Applying Bayes Rule $P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P(B \mid \sim A) P(\sim A)}$ $A=$ you have the flu, $B=$ you just coughed Assume: $\begin{array}{l} P(\text { flu })=0.05 \\ P(\text { cough } \mid \text { flu })=0.80 \\ P(\text { cough } \mid \sim f l u)=0.2 \end{array}$ what is P (flu | cough)?
Bayesian classifiers -This is where the "naïve" in "naïve Bays" comes in: if we make naïve assumptions about the generative model for each label, we can find a rough approximation of the generative model for each class, and then proceed with the Bayesian classification. - Different types of naive Bayes classifiers rest on different naïve assumptions about the data. - The naïve Bayes classification algorithm was built on the assumption of independent events, to avoid the need to compute there messy conditional probabilities. - If everything was independent, the world of probability would be a much simpler place.

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Problem 906

TEST YOURSELF: Consider a source population consisting of 1,000 adults. Assume that no subjects moved in or out of the population over the next 12 years, but there were some deaths. Among the 1,000 subjects, 990 remained alive and free of cancer from 2001 to 2012. Events in the other 10 subjects are depicted in the image below. Subjects $1,2,3$ , and 4 were known to have lung cancer in 2001. Dashed lines indicate the ongoing presence of lung cancer in living subjects (dashed lines), and deaths are indicated in the figure.
For this exercise answer the questions below as simple fractions showing the numerator and the denominator in order to make sure you understand prevalence. (Ordinarily, you would compute the decimal fraction and express in as, e.g., 7 per 1,000 population in 2007). Compute your own answers before looking at the correct answer.
Question 1: What was the prevalence of lung cancer in 2001? Answer:
Question 2: What was the prevalence of lung cancer in 2007? Answer:
Question 3: What was the prevalence of lung cancer in 2012? Answer

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Problem 907

A bag contains 5 blue, 4 green and 2 purple counters. One counter is picked at random. What is the probability that the counter is green or blue? Give your answer as a fraction.

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Problem 908

Iarrim në konsideratë një shpërndarje F me shkallë lirie 3 dhe 30. Cila është përqindja e sipërfaqes nën lakore në të djathtë të Fs=4.51? Cila është përqindja e sipërfaqes nën lakore në të majtë të Fs=2.92?

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Problem 909

A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last between 290 hours and 500 hours. A. 2,413 B. 2,911 C. 2,913 D. 2,410

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Problem 910

Express the indicated degree of likelihood as a probability value between 0 and 1. When using a computer to randomly generate the last digit of a phone number to be called for a survey, there is 1 chance in 10 that the last digit is zero.
The probability is $\square$ . (Type an integer or a decimal. Do not round.) p Ask my instructor Clear all

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Problem 911

8. Dalam sebuah kotak terdapat 30 bola yang diberi nomor 1-30. Dari kotak tersebut diambil 1 bola secara acak. Tentukan peluang bola bernomor kelipatan 5 atau kelipatan 7
9. Sebuah koin dan sebuah dadu dilempar secara bersama-sama. Tentukan peluang munculnya angka pada koin dan angka pada dadu lebih dari 4

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Problem 912

A modified roulette wheel has 40 slots. One slot is 0 , another is 00 , and the others are numbered 1 through 38 , respectively. You are placing a bet that the outcome is an odd number, (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning?
The probability of winning is $\square$ (Type an integer or a simplified fraction.) Get more help - Clear all Check answer ok

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Problem 913

1.21. Ngjarjet $A$ the $B$ jané té tilla qè: $P(A)=1 / 2, P(B)=1 / 3, P(A B)=1 / 4$ . Njehesoni: $P(A+B), P(A / B), P(A / \bar{B}), P(\overline{A B}), P(\bar{A} / \bar{B})$ .

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Problem 914

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a $13.5 \%$ daily failure rate. Comp parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? $\square$ (Round to three decimal places as needed.) Clear all Check ans Get more help - MacBook Air

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Problem 915

2. (MP) Use Tools Marcela gets to school later than her friend Kim about half the time. Describe a way to simulate this event for 10 school days. Then perform the simulation. How many times does it show Marcela arriving later than Kim? What is the experimental probability of this event?

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Problem 916

- • علامة
السؤال الثالث ا- بكم طريقة يمكن اختيار لجنة مكونة من 5 طلاب من صف يحوي على $ا$ طلاب؟
بـ اذا كان احتمال ان ينجح احمد في الاحصاء P(A)=0.6 واحتمال ان ينجح في الحاسوب P(B)=0.8 واحتمال ان ينجح في المقررين معا 0.48 اجب عما يلي 1 ـ مـا احتمال ان لا ينجح في أي من المقررين r - ما احتمال ان ينجح في الاحصاء ولا ينجح في الحاسوب

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Problem 917

Q1: A pair of dice was rolled. The random variable $X$ represent the sum of the numbers on the two dice. What is the probability mass function? What is the cumulative mass function? Draw the probability mass function and the cumulative mass function. What is the probability of getting an even sum? What is the probability that for a single roll of the two dice, the sum of the dots is equal to 11 ? What is the probability of obtaining a sum of 6 or less?

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Problem 918

6. The duration of a telephone call (in seconds) has a uniform distribution over the interval $[0,200]$ . With probability $1 / 20$ , the telephone call is a roaming connection and a proportional charge of 2 cents per second is added; in other cases the telephone cost is included in a monthly standing charge of $\$ 50$ . There were 120 independent connections in May. a) Calculate the expected value of the invoice for May. b) Using the Poisson theorem, approximate the probability that at least three calls resulting in extra charges of at least $\$ 1$ each were made.

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Problem 919

A box contains ten cards labeled $Q, R, S, T, U, V, W, X, Y$ , and $Z$ . One card will be randomly chosen. What is the probability of choosing a letter from $U$ to $Z$ ?
Write your answer as a fraction.

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Problem 920

re using the techrilques. Slaphty cvent thist a randamly chasen participant did not report a solld inprovemest in performance atter uaing the veualluation technicues. Fill in the probabilitse to complete the tree disgram below, and then anower the quertion that followas. Do not nound any of preur resporse: (if necresary, consult a let of formulas-) (d) Fill in the miseing probobilites. $P(I \mid G)=\square$ $P(G)=\square \quad P(G \cap I)=$ $\square$ $\square$ $P(I \mid G)=0.75$ $P(G \cap I)=\square$ $\square$ $P(\boldsymbol{I} \mid G)=$ $\square$ $P(G \cap \bar{l})=$ $\square$ $P(G)=0.4$ improvement in pertormance ater ubag the wlusalization tobhnicues?

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Problem 921

A survey asking mobile phone users how long they would wait for a page to load found the following results. Find the probabilities that a person would wait the following amounts. (a) No more than 10 seconds (b) At least 6 seconds (c) Between 6 and 20 seconds (d) Between 1 and 15 seconds \begin{tabular}{|c|c|} \hline Time (Seconds) & Percentage \\ \hline $<1$ & $5 \%$ \\ \hline $1-5$ & $14 \%$ \\ \hline $6-10$ & $28 \%$ \\ \hline $11-15$ & $17 \%$ \\ \hline $16-20$ & $11 \%$ \\ \hline $>20$ & $25 \%$ \\ \hline \end{tabular} (a) The probability that a person would wait no more than 10 seconds is $\square$ (Type an integer or a decimal.) an example Get more help - Clear all Check answer

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Problem 922

A certain species of animal has a $\frac{2}{5}$ probability of any one offspring being male and a $\frac{3}{5}$ probability of any one offspring being female. Fill in the remaining probabilities on the tree diagram and use that information to find the probability that an adult female of the species produces three offspring that are all males, given that the first is a male.
Choose the correct tree below. A. B. C. w an example Get more help - Clear all Final check

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Problem 923

The Motor Vehicle Department has found that the probability of a person passing the test for a driver's license on the first try is 0.75 . The probability that an individual who fails on the first test will pass on the second try is 0.82 , and the probability that an individual who fails the first and second tests will pass the third time is 0.68 . Find the probabilities that an individual will do the following. a. P(Fail both the first and second tests) b. P(Fail three times in a row) c. $P$ (Require at least two tries) a. $P$ (fails both the first and second tests) $=$ $\square$ (Type an integer or decimal rounded to four decimal places as needed.) example Get more help - Clear all Check answer

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Problem 924

d) equal to $1 / 10$ e) equal to $9 / 10$ because you were not caught in the last nine days.
3. A randomly selected student is asked to respond to wes, no or maxbe to the questions, "Do you intend to vote in the next presidential election?" The sample space is $\{Y, N, M a y b\}$ . Which of the following could be a legitimate assignment of probabilities for this sample space? a) $.4, .4, .4$ b) $.2, .6, .2$ c) $.3, .3, .3$ d) $.5, .4, .2$ e) $.1, .1, .1$
4. Suppose that 30 percent of the subscribers to a cable television service watch the shopping channel at least once a week. You are to design a simulation to estimate the probability that none of five randomly selected subscribers watches the shopping channel at least once a week. Which of the following assignments of the digits 0 through 9 would

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Problem 925

According to an article at africageographic.com there are many unexpected uses for elephant waste. But how much waste do elephants produce per day? Studies show that the distribution of waste produced by adult elephants can be modeled by a Normal distribution with mean 250 pounds and standard deviation 21 pounds. a) What percent of adult elephants produce at least 300 pounds of waste in a day? b) A zoo has an agreement with the local farmers. They sell the daily waste from their elephants to the farmers for $\$ 5.00$ per pound. If the amount of waste produced by the elephant on a given day is at the 10 th percentile of the distribution of waste, how much money would the zoo make selling the waste that day?

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Problem 926

Rudi memiliki dua buah koin 1000 rupiah, Ialu melemparkan kedua koin tersebut bersamaan. Berapa peluang muncul angka dan gambar pada kedua koin?
Sebuah kartu diambil dari satu kartu standar 52 kartu. Berapakah peluang kartu yang diambil adalah hati?
Dalam sebuah kotak terdapat 5 bola merah dan 3 bola biru. Jika satu bola diambil secara acak, berapakah peluang bola yang diambil adalah bolah merah?
Dalam sebuah undian terdapat 10 tiket, dimana 3 tiket adalah pemenang. Jika satu tiket diambilsecara acak, berapakah peluang tiket yang diambil adalah tiket pemenang?
Banyak kata yang dapat disusun dari kata "SUKSES" adalah...
Arkan akan membuat password untuk alamat emailnya yang terdiri dari 5 huruf kemudian diikuti oleh 2 angka yang berbeda. Jika huruf yang disusun berasal dari pembentuk kata pada namanya, maka banyaknya password yang dibuat adalah...
Dari angka-angka 01234567 dan akan dibentuk bilangan tiga angka yang kurang dari 800 dan angka tidak boleh ada yang berulang. Banyak bilangan yang terjadi adalah....bilangan

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Problem 927

A gas station attendant tracks 18 customers' gasoline choices. What are the probabilities for each grade?

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Problem 928

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: $\frac{39}{52}$ .

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Problem 929

What must be true for the probability of a randomly selected person having blood type A to be $P(A)=\frac{1}{4}$ ? Is this true?

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Problem 930

Find the probability of selecting one Democrat and one Republican from a group of 4 Democrats, 4 Republicans, and 3 Independents.

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Problem 931

Find the probability of selecting one green and one black marble from a jar of 10 marbles without replacement.

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Problem 932

What is the probability of drawing two hearts from a deck without replacement? Express as a reduced fraction.

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Problem 933

A container has 10 marbles: 3 blue, 2 red, 1 orange, and 4 yellow. Find the probability of selecting blue and orange.

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Problem 934

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

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Problem 935

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

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Problem 936

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

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Problem 937

Find the probability of rolling a 3 or an odd number on a die. Express as a simplified fraction.

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Problem 938

Find the probability of drawing a 6 or a red card from a deck. Express your answer as a reduced fraction.

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Problem 939

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$

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Problem 940

e) . $1, .1, .1$
4. Suppose that 30 percent of the subscribers to a cable television service watch the shopping channel at least once a week. You are to design a simulation to estimate the probability that none of five randomly selected subscribers watches the shopping channel at least once a week. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling an individual subscriber's behavior in this simulation? a) Assign " $0,1,2$ " as watching the shopping channel at least once a week and " $3,4,5,6,7,8$ , and 9 " as not watching. b) Assign " $0,1,2,3$ " as watching the shopping channel at least once a week and " $4,5,6,7,8$ , and 9 " as not watching. c) Assign " $1,2,3,4,5$ " as watching the shopping channel at least once a week and " $6,7,8,9$ , and 0 " as not watching. d) Assign " 0 " as watching the shopping channel at least once a week and " $1,2,3,4$ , and 5 " as not watching; ignore digits "6, 7, 8, and 9." e) Assign " 3 " as watching the shopping channel at least once a week and " $0,1,2,4,5,6,7,8$ , and 9" as not watching.

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Problem 941

8. Given the probabilities $P(A)=0.3$ and $P(B)=0.2$ , what is the probability of $P(A$ or $B)$ if $A$ and $B$ are mutually exclusive? If $A$ and $B$ are independent? If $B$ is a subset of $A$ ? a) $0.5,0.44,0.2$ b) $0.44,0.5,0.3$ c) $0.44,0.5,0.2$ d) $0.5,0.44,0.3$ e) $0,0.5,0.3$

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Problem 942

10. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2\% of the American population has O-negative blood. If 10 Americans are randomly selected, what is the probability that at least 1 of them is a universal donor? a) 0 b) 0.474 c) 0.526 d) 0.720 e) 1

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Problem 943

12. The two-way table gives information on the performers in the New York Philharmonic Orchestra, categorized by section (type of instrument) and gender. \begin{tabular}{c|c|c|c|c} & \multicolumn{4}{c}{ Type of instrument } \\ & Strings & Woodwinds & Brass & Total \\ \cline { 2 - 6 } Gender & Male & 24 & 8 & 12 \\ \cline { 2 - 5 } & Female & 37 & 6 & 1 \\ \cline { 2 - 6 } & Total & 61 & 14 & 13 \\ \hline \end{tabular}
You select one musician in this group at random. Which of the following statements is true about the events "Plays a woodwind" and "Male? a) The events are mutually exclusive and independent. b) The events are not mutually exclusive but they are independent. c) The events are mutually exclusive but they are not independent. d) The events are not mutually exclusive, nor are they independent. e) The events are independent, but we do not have enough information to determine if they are mutually exclusive.
For questions 12 and 13 refer to the following: Mrs. Heart asked 100 randomly selected adult Americans if they thought that women should be allowed to go into combat situations. Here are the results, classified by the gender of the subject. \begin{tabular}{c|c|c} & \multicolumn{2}{c}{ Combat? } \\ \cline { 2 - 4 } Gender & Yes & No \\ \cline { 2 - 4 } & Male & 32 \\ \cline { 3 - 4 } & Female & 16 \\ & & 34 \end{tabular}

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Problem 944

15. Mrs. Echols chooses a student at random from the Coronado High School student body, and the following events are recorded: $M$ : the student is male $F$ : the student is female B : the student ate breakfast that morning N : the student did not eat breakfast that morning The tree diagram gives probabilities associated with these events.
Find $P(B \mid F)$ and write in words what this expression represents. a) 0.18 . This is the probability the student ate breakfast and is female. b) 0.18 . This is the probability the student ate breakfast, given she is female. c) 0.18 . This is the probability the student is female, given she ate breakfast. d) 0.30 . This is the probability the student ate breakfast, given she is female. e) 0.30 . This is the probability the student is female, given she ate breakfast.

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Problem 945

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.
The probability is $\square$ (Type an integer or a simplified fraction.) Clear all Check answer

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Problem 946

In an experiment, college students were given either four quarters or a $\$ 1$ bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a through ( c ) below. \begin{tabular}{c|c|c} \hline & Purchased Gum & Kept the Money \\ \hline Students Given Four Quarters & 25 & 19 \\ \hline Students Given a \$1 Bill & 18 & 34 \\ \hline \end{tabular} a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.
The probability-is 0.568 . (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.
The probability is $\square$ (Round to three decimal places as needed.)

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Problem 947

is the probability of getting the correct Social Security number of the person who was given the receipt?
The probability is $\square$ (Type an integer or a simplified fraction.) my instructor Clear all Check answer

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Problem 948

When randomly selecting an adult, $A$ denotes the event of selecting someone with blue eyes. What do $P(A)$ and $P(\bar{A})$ represent? $P(A)$ represents the $\square$ $P(\bar{A})$ represents the

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Problem 949

12 point(s) possible This question: 1 point(s) possible Submit quiz
A thief steals an ATM card and must randomly guess the correct seven-digit pin code from a 4-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?
The number of possible codes is $\square$ (Type an integer or fraction. Simplify your answer.) The probability that the correct code is given on the first try is $\square$ (Type an integer or fraction. Simplify your answer.)

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Problem 950

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The amount of snowfall in December in City A b. The number of fish caught during a fishing tournament c. The eye color of people on commercial aircraft flights d. The number of statistics students now reading a book e. The number of bald eagles in a country f. The amount of rain in City B during April a. Is the amount of snowfall in December in City A a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable. b. Is the number of fish caught during a fishing tournament a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable c. Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a randirm variable. d. Is the number of statistics students now reading a book a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable.

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Problem 951

Question 9, 5.1.6 Part 1 of 6 HW Score: 50\%, O Points: 0 of 1
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of pigeons in a country b. The hair color of adults in the United States c. The time it takes for a light bulb to burn out d. The number of statistics students now doing their homework e. The square footage of a pool f. The number of light bulbs that burn out in the next year in a room with 16 bulbs a. Is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.

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Problem 952

The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable $x$ represents the number of girls among 8 children. Complete parts (a) through (d) below.
Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. $\square$ (Type an integer or a decimal. Do not round.). Probability Distribution for $\mathrm{x}^{-}$ \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number of \\ Girls $\mathbf{x}$ \end{tabular} & $\mathbf{P}(\mathbf{x})$ \\ \hline 0 & 0.002 \\ \hline 1 & 0.029 \\ \hline 2 & 0.119 \\ \hline 3 & 0.225 \\ \hline 4 & 0.250 \\ \hline 5 & 0.225 \\ \hline 6 & 0.119 \\ \hline 7 & 0.029 \\ \hline 8 & 0.002 \\ \hline \end{tabular} Print Done ook Get more help - Clear all Check answer

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Problem 953

4.) Mary writes each letter of the state TEXAS on a separate card. She randomly picks 5 cards and places them on the table in the order she picks them. What is the probability she gets them in the right order to spell Texas correctly?

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Problem 954

6.) Label the Venn diagram given a total of 40 people are in the ski club and a total of 55 people are in choir. There are 13 people that are in both and 57 that are in neither What is the probability a random person is in the ski club? To the nearest percent .24 .2 $24 \%$ b.) Find the probability that a person is in the ski club given they are in choir.
To the nearest percent (13) ves $P(A \mid B)$ is s the Same is the same $P(A)$ are in booth Chair .) The probability of rain in Northern Spain is 43\% in December. Your family -goes there for a 7 day vacation. Find the probability that jt rains exactly 3 of the days you are there. $7\left(3(43)^{3}(.57)^{4}=0.294\right.$ b.) Find the probability it rains more than 3 days: $22.2 \%$

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Problem 955

5002 Time Demaining
5 Formula 0.5 points
An bag contains 10 red balls, 11 white balls, 3 green balls, and 3 blue balls. A ball is selected at random and replaced. Then another ball is selected. Find the probability that the firat ball is red and the second ball is white.
State your answer as a decimal rounded to the nearest hundredth. lype your anwer- 360

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Problem 956

com/student/Player lest.aspxptestId=264288098 ctory Statistics 1, 5.2) Question 15 of 15 This quiz: 15 point(s) possible This question: 1 point(s) possible
A university conducted a survey of 395 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Complete parts (a) through (d) below. Click the icon to view the table. (a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government? $\mathrm{P}($ satisfied $)=$ $\square$ (Round to three decimal places as needed.) (b) If a survey participant is selected at random, what is the probability that he or she is a junior?
P (junior) $=$ $\square$ (Round to three decimal places as needed.) (c) If a survey participant is selected at random, what is the prob $\mathrm{P}($ satisfied and junior) $=$ $\square$ (Round to three decimal places as needed.) (d) If a survey participant is selected at random, what is the prob $\mathrm{P}($ satisfied or junior $)=$ $\square$ (Round to three decimal places as needed.)
Data table \begin{tabular}{lccccc} \hline & Freshman & Sophomore & Junior & Senior & Total \\ \hline Satisfied & 58 & 52 & 70 & 61 & 241 \\ \hline Neutral & 26 & 19 & 12 & 12 & 69 \\ \hline Not satisfied & 18 & 21 & 19 & 27 & 85 \\ \hline Total & 102 & 92 & 101 & 100 & 395 \\ \hline \end{tabular} Print Done

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Problem 957

A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount. To the nearest dollar, what is expected payout of the game? \begin{tabular}{|c|c|} \hline Payout Amount & Probability \\ \hline $\$ 200$ & 0.126 \\ \hline $\$ 3800$ & 0.03 \\ \hline $\$ 190000$ & 0.0002 \\ \hline \end{tabular}
Provide your answer below:

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Problem 958

Elizabeth is at the racetrack and bets on her favorite horse. The odds in favor o her horse winning are 6:7.
What is the probability that Elizabeth's horse will win? $\frac{7}{6}$ $\frac{6}{7}$ $\frac{6}{13}$ $\frac{6}{1}$

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Problem 959

A pile of cards centalns five cards, numbered 1 through 5 , What is the probability of NOT choosing the 2 ? $\frac{2}{6}$ $\frac{1}{4}$ $\frac{1}{5}$ $\frac{4}{5}$

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Problem 960

Let $X$ be a random variable with density $f(x)=\frac{2 x}{8^{2}} \cdot 1(0,8)(x)$ . Find the quantile of rank $\frac{1}{15}$ for this variable:
Answer. $\square$
For random variable $\backslash(X V)$ as above, find the expected value of $\backslash(8.9 X+8.9 \backslash)$ .
Answer: $\square$

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Problem 961

12 In a bag there are only red counters, blue counters and white counters. A counter is taken at random from the bag. The table shows the probability of getting a red counter. \begin{tabular}{lcll|} \hline Colour & Red & Blue & 0.4 \\ \hline Probability & 0.2 & 0.4 & 0.4 \end{tabular}
The probability of getting a blue counter is the same as the probability of getting a white counter. (a) Complete the table.
There are 18 red counters in the bag. (b) Work out the total number of counters in the bag. (4 marks)

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Problem 962

Based on a survey, assume that $39 \%$ of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of $n, x, p$ , and $q$ .
The value of $n$ is $\square$ (Type an integer or a decimal. Do not round.)

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Problem 963

You can sketch yo Fifty students are participating in the school musical. Of those students 12 are on the debate team and 23 are seniors. There are twenty students who are not on the debate team and are not seniors.
If a student is selected at random, what is the probability the student is a senior or on the debate team?

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Problem 964

The math department at your school is giving away a graphing calculator as a prize to celebrate math month. There are 800 students at the school. There are 240 freshmen, 207 sophomores and the remaining students are juniors and seniors.
If a student is chosen at random, what is the probablity that the student is not a freshmen?

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Problem 965

The time required to assemble a single Play Station 3 is approximately normally distributed with $\mu=15.53$ minutes and $\sigma=1.6$ minutes. A random sample of 15 Play Station 3 assembly times is selected.
Find the minimum assembly time of the upper 10\% of average assembly times. $\square$

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Problem 966

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 44 minutes and standard deviation 20 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of $X$ ? $X \sim N($ $\square$ $\square$ ) b. What is the distribution of $\bar{x}$ ? $\bar{x} \sim N($ $\square$ $\square$ ) c. What is the distribution of $\square$ $x$ ? $\square$ $x \sim \mathrm{~N}($ $\square$ , $\square$ ) d. If one randomly selected student is timed, find the probability that this student's time will be between 33 and 44 minutes. $\square$ e. For the 6 students, find the probability that their average time studying is between 33 and 44 minutes. $\square$ f. Find the probability that the randomly selected 6 students will have a total study time less than 312 minutes. $\square$ g. For part e) and f), is the assumption of normal necessary? Yes No h. The top $15 \%$ of the total study time for groups of 6 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? $\square$ minutes

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Problem 967

The interest rates paid by 30 financial institutions on a certain day for money market deposit accounts are shown in the accompanying table. \begin{tabular}{lcccccccc} \hline Rate \% & 2 & 2.25 & 2.55 & 2.56 & 2.58 & 2.60 & 2.65 & 2.85 \\ \hline Institutions & 1 & 7 & 8 & 3 & 2 & 6 & 1 & 2 \\ \hline \end{tabular}
Let the random variable $X$ denote the interest rate per year paid by a randomly chosen financial institution on its money market deposit accounts. (a) Find the probability distribution associated with these data. (Round your answers to three decimal places.) \begin{tabular}{cc} \hline Rate \% & $\boldsymbol{P}(\boldsymbol{X}=\boldsymbol{x})$ \\ \hline 2 & $\square$ \\ \hline 2.25 & $\square$ \\ \hline 2.55 & $\square$ \\ \hline 2.56 & $\square$ \\ \hline 2.58 & $\square$ \\ \hline 2.60 & $\square$ \\ \hline 2.65 & \\ \hline 2.85 & \\ \hline \end{tabular} (b) Find the probability that the interest rate paid by a financial institution chosen at random is less than 2.56\% per year. (Round your answer to three decimal places.) $\square$ Need Help? Read It

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Problem 968

The lengths of pregnandes of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days A) 0.3189 B) 0.2375 C) 0.9834 D) 0.0166

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Problem 969

Customers Frequency of 0 1 2 2 4 5 6 7 8 9 10 Occurrence 1 3 2 O 7 8 10 g 5 5 1 (a) Find the probability distribution of the random variable X, where X denotes the number of customers observed waiting in line. (Round your answers to three decimal places.) Customers P(X = x) 0 1 2 3 4 567 68 10

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Problem 970

The 40 members of a recreation class were asked to name their favorite sports. The table shows the numbers who responded in various ways. Use information given in the table to answer parts (a) and (b). \begin{tabular}{|c|c|} \hline Sport & \begin{tabular}{c} Number of Class \\ Members \end{tabular} \\ \hline Sailing & 8 \\ Archery & 6 \\ Snowboarding & 6 \\ Bicycling & 4 \\ Rock Climbing & 8 \\ Rafting & 8 \\ \hline \end{tabular} (a) Construct a probability distribution. (Type integers or decimals rounded to three decimal places as needed.) \begin{tabular}{|c|c|c|} \hline Sport & \begin{tabular}{c} Number of Class \\ Members \end{tabular} & Probability \\ \hline Sailing & 8 & $\square$ \\ Archery & 6 & $\square$ \\ Snowboarding & 6 & \\ Bicycling & 4 & \\ Rock climbing & 8 & $\square$ \\ Rafting & 8 & $\square$ \\ \hline \end{tabular}

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Problem 971

The data given below were taken from a study about the preferred payment method (Cash or Credit card). The table below indicates the numbers of people in the study according to their gender and preferred payment method. \begin{tabular}{ccc} \hline & Cash & Credit Card \\ \hline Men & 217 & 238 \\ Women & 220 & 325 \\ \hline \end{tabular}
If a person is selected at random, what is the probability that the person is a man and prefers the cash payment method?
Select one: a. 1.0000 b. 0.2380 c. 0.7620 d. 0.0000 e. 0.6750 f. 0.3250 g. 0.7830

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Problem 972

E-mail : itc@bizeit.edu
The data given below were taken from a study about the preferred payment method (Cash or Credit card). The table below indicates the numbers of people in the study according to their gender and preferred payment method. \begin{tabular}{ccc} & Cash & Credit Card \\ \hline Men & 141 & 240 \\ Women & 206 & 413 \\ \hline \end{tabular}
If a person is selected at random, what is the probability that the person is a man or prefers the cash payment method?
Select one: a. 0.1410 b. 0.2400 c. 1.0000 d. 0.7940 e. 0.2060 f. 0.5870 g. 0.4130

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Problem 973

1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

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Problem 974

1. 12 donuts and 3 muffins were laid out on 5 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there is a plate with at least two muffins on it. b) Assume that each muffin is on a different plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, each muffin will still be on a different plate. c) Calculate the expected value of the number of muffins on the second plate.

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Problem 975

5. Let $X$ be a random variable from an exponential distribution with parameter 3. Calculate the variance of variable $Z=3 X-4$ . Is variable $Y=\frac{2}{X}$ continuous? If yes, find the density.

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Problem 976

The central angle of sector $U$ is $90^{\circ}$ . What is the probability that the spinner lands on $U$ ?
Simplify your answer and write it as a proper fraction.

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Problem 977

1. 9 donuts and 3 muffins were laid out on 4 plates in such a way that there are three cakes on each plate. a) Calculate the probability that there are three muffins on one of the plates. b) Assume that it's not the case that there are three muffins on one plate. From a randomly chosen plate we move one randomly chosen cake to a different plate. Calculate the probability that after this move, the three muffins will be on the same plate. c) Calculate the expected value of the number of muffins on the first plate.

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Problem 978

The accompanying tree diagram represents an experiment consisting of two trials.
Use the diagram to find the probabilities below. $\begin{array}{l} \text { (a) } P(A) \\ 1.4 \end{array}$ $\begin{array}{l} \text { (b) } \quad P(E \mid A) \\ 5 \\ \text { (c) } \quad P(A \cap E) \\ 15 \end{array}$ (d) $P(E)$ $35$

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Problem 979

5. Let $X$ be a random variable from an exponential distribution with parameter 3 . Calculate the variance of variable $Z=3 X-4$ . Is variable $Y=\frac{2}{X}$ continuous? If yes, find the density.

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Problem 980

done to determine this. (c) Employees at a large office building took a survey. The results show that those who began work earlier tended to drink less tea. which statement is most likely true? There is no correlation between start time and amount of tea consumed. There is a correlation between start time and amount of tea consumed. There may or may not be causation. Further studies would have to be done to determine this. There is a correlation between start time and amount of tea consumed. However, there is no causation. This is because there is a decrease in the amount of tea consumed with an earlier start time.

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Problem 981

There is a correlation between amount of gasoline bought and price. There may or may not be causation. Further studles would have to be done to determine this. (c) Ms. Anderson studied her chemistry students' homework and test scores. She found that students who completed more homework did not tend to earn higher or lower scores on the test. What should she conclude?
There is no correlation between test score and amount of homework completed. There is a correlation between test score and amount of homework completed. There is probably also causation. This is because there might be an increase in a student's test score with an increase in the amount of homework completed. There is a correlation between test score and amount of homework completed. There may or may not be causation. Further studies would have to be done to determine this.

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Problem 982

Name: $\qquad$ Due Date: $\qquad$ 1) An assembly line produces plastic piggybanks that are either pink or blue. On average, $2.4 \%$ of the banks contain defects. Of the banks with no defects, $15 \%$ were blue. The percentage of all banks produced that are perfect pink piggybanks is a) 82.6 b) 82.96 c) 85 d) 87.4 e) 95.2

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Problem 983

A certain species of animal has a $\frac{1}{3}$ probability of any one offspring being male and a $\frac{2}{3}$ probability of any one offspring being female. Fill in the remaining probabilities on the tree diagram and use that information to find the probability that an adult female of the species produces three offspring that are all females, given that the first is a female.
Choose the correct tree below. A. example Get more help - Final check

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Problem 984

16 The age of a tree and the height of the tree. $\left.\square_{4}\right)$ (5 Points) Positive Negative None

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Problem 985

2. Miguel is comparing the probabilities of two spinners. Select all the true statements that Miguel made. (A) Spinner $A$ is twice as likely to land on 1 as spinner $B$ is. (B) The probability that spinner $B$ lands on an odd number is $\frac{1}{2}$ . (c) The probability that spinner $A$ lands on 2 is $\frac{1}{4}$ . (1)
Spinner $A$ is not a fair spinner. Spinner $A$ and spinner $B$ are equally likely to land on an odd number.

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Problem 986

Ethan rolls a 6-sided die. What's the probability of rolling a number less than 3? A. $\frac{5}{6}$ B. $\frac{1}{3}$ C. $\frac{2}{3}$ D. $\frac{1}{6}$

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Problem 987

Valentino sold 502 thin, 215 thick, 164 stuffed, and 194 pan crusts. Expect thick crusts in next 4000 pizzas. Calculate.

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Problem 988

Draw a card: win \ $12 for a face card, \$6 for an ace, lose \$18 for others. Find the expected gain:$ $-9.23$ $.

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Problem 989

Calculate the expected value of the given prize distribution: \$0.00 (0.87), \$100.00 (0.09), \$500.00 (0.03), \$10,000.00 (0.01). Round to two decimal places.

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Problem 990

A company estimates a $0.3\%$ product failure rate after warranty, costing \ $400. If a 2-year warranty costs \$57, find the profit values$ x $, their probabilities$ P(x)$, and the expected value per warranty sold, rounded to the nearest cent.

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Problem 991

A company estimates $0.5\%$ product failure post-warranty, costing \ $150. If a 2-year warranty is \$19, find profit$ x$ values and expected value.

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Problem 992

Draw a card from a deck: win \$13 for a face card, \$10 for an ace, lose \$12 for others. Find the expected gain.

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Problem 993

Draw a card from a deck: win \ $11 for a face card, \$9 for an ace, lose \$6 otherwise. Find the expected gain:$ -3.87$.

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Problem 994

Draw a card from a deck: win \$6 for a face card, \$5 for an ace, lose \$3 for others. Find the probability distribution and expected gain.

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Problem 995

Draw a card from a deck: win \$5 for an ace, \$6 for a face ace, lose \$3 for others. Find the probability distribution and expected gain.

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Problem 996

A company expects $0.7\%$ of products to fail after warranty, costing \ $250. They sell a \$39 warranty. Find profit$ x$ values and expected value.

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Problem 997

A jar has 63 marbles: 8 red, 25 blue, 30 green. Draw a marble: win \$20 for red, lose \$10 for blue, lose \$5 for green.
1. Find the expected outcome.
2. Is it profitable to play long-term?

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Problem 998

A jar has 63 marbles: 8 red, 25 blue, 30 green. Draw a marble: win \$20 (red), lose \$10 (blue), lose \$5 (green). Find the expected outcome.

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Problem 999

In a class, 4 students have both a cat and a dog, 7 have a dog but no cat, 16 have a cat but no dog, and 2 have neither. Find the probability that a randomly chosen student has a cat or a dog.

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Problem 1000

What is the probability that a flight from Miami to New York is delayed, given a $27\%$ delay rate? Choose an option.

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1 ...7 8 9 10 11 12 13 ...16

Probability

Problem 901

Problem 902

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and 30%30 \%30% are teachers. Given that an attendee is a teacher, 55%55 \%55% are females. What is the probability that a randomly selected attendee is both a teacher and a female?

Problem 903

Problem 904

Problem 905

Problem 906

Problem 907

A bag contains 5 blue, 4 green and 2 purple counters. One counter is picked at random. What is the probability that the counter is green or blue? Give your answer as a fraction.

Problem 908

Iarrim në konsideratë një shpërndarje F me shkallë lirie 3 dhe 30. Cila është përqindja e sipërfaqes nën lakore në të djathtë të Fs=4.51? Cila është përqindja e sipërfaqes nën lakore në të majtë të Fs=2.92?

Problem 909

Problem 910

Problem 911

Problem 912

Problem 913

Problem 914

Problem 915

2. (MP) Use Tools Marcela gets to school later than her friend Kim about half the time. Describe a way to simulate this event for 10 school days. Then perform the simulation. How many times does it show Marcela arriving later than Kim? What is the experimental probability of this event?

Problem 916

Problem 917

Problem 918

Problem 919

A box contains ten cards labeled Q,R,S,T,U,V,W,X,YQ, R, S, T, U, V, W, X, YQ,R,S,T,U,V,W,X,Y, and ZZZ. One card will be randomly chosen. What is the probability of choosing a letter from UUU to ZZZ ?Write your answer as a fraction.

Problem 920

Problem 921

Problem 922

Problem 923

Problem 924

Problem 925

Problem 926

Problem 927

A gas station attendant tracks 18 customers' gasoline choices. What are the probabilities for each grade?

Problem 928

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: 3952\frac{39}{52}5239​.

Problem 929

What must be true for the probability of a randomly selected person having blood type A to be P(A)=14P(A)=\frac{1}{4}P(A)=41​? Is this true?

Problem 930

Find the probability of selecting one Democrat and one Republican from a group of 4 Democrats, 4 Republicans, and 3 Independents.

Problem 931

Find the probability of selecting one green and one black marble from a jar of 10 marbles without replacement.

Problem 932

What is the probability of drawing two hearts from a deck without replacement? Express as a reduced fraction.

Problem 933

A container has 10 marbles: 3 blue, 2 red, 1 orange, and 4 yellow. Find the probability of selecting blue and orange.

Problem 934

Find the probability of drawing a jack or a black card from a standard deck. Options: 713\frac{7}{13}137​, 452\frac{4}{52}524​, 152\frac{1}{52}521​, 12\frac{1}{2}21​.

Problem 935

Find the probability of drawing a 7 or a queen from a standard deck of cards: P=213,513,613,113P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}P=132​,135​,136​,131​.

Problem 936

Find the probability of rolling a sum of 6 or 10 with two dice: 49\frac{4}{9}94​, 13\frac{1}{3}31​, 19\frac{1}{9}91​, 29\frac{2}{9}92​.

Problem 937

Find the probability of rolling a 3 or an odd number on a die. Express as a simplified fraction.

Problem 938

Find the probability of drawing a 6 or a red card from a deck. Express your answer as a reduced fraction.

Problem 939

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, (1(1(1, 1, ◯0\bigcirc 0◯0

Problem 940

Problem 941

Problem 942

Problem 943

Problem 944

Problem 945

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.The probability is □\square□ (Type an integer or a simplified fraction.) Clear all Check answer

Problem 946

Problem 947

is the probability of getting the correct Social Security number of the person who was given the receipt?The probability is □\square□ (Type an integer or a simplified fraction.) my instructor Clear all Check answer

Problem 948

When randomly selecting an adult, AAA denotes the event of selecting someone with blue eyes. What do P(A)P(A)P(A) and P(Aˉ)P(\bar{A})P(Aˉ) represent? P(A)P(A)P(A) represents the □\square□ P(Aˉ)P(\bar{A})P(Aˉ) represents the

Problem 949

Problem 950

Problem 951

Problem 952

Problem 953

4.) Mary writes each letter of the state TEXAS on a separate card. She randomly picks 5 cards and places them on the table in the order she picks them. What is the probability she gets them in the right order to spell Texas correctly?

Problem 954

Problem 955

Problem 956

Problem 957

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and $30 \%$ are teachers. Given that an attendee is a teacher, $55 \%$ are females. What is the probability that a randomly selected attendee is both a teacher and a female?

A box contains ten cards labeled $Q, R, S, T, U, V, W, X, Y$ , and $Z$ . One card will be randomly chosen. What is the probability of choosing a letter from $U$ to $Z$ ?
Write your answer as a fraction.

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: $\frac{39}{52}$ .

What must be true for the probability of a randomly selected person having blood type A to be $P(A)=\frac{1}{4}$ ? Is this true?

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$

Issuming boys and girls are equally likely, find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls.
The probability is $\square$ (Type an integer or a simplified fraction.) Clear all Check answer

is the probability of getting the correct Social Security number of the person who was given the receipt?
The probability is $\square$ (Type an integer or a simplified fraction.) my instructor Clear all Check answer

When randomly selecting an adult, $A$ denotes the event of selecting someone with blue eyes. What do $P(A)$ and $P(\bar{A})$ represent? $P(A)$ represents the $\square$ $P(\bar{A})$ represents the

Elizabeth is at the racetrack and bets on her favorite horse. The odds in favor o her horse winning are 6:7.
What is the probability that Elizabeth's horse will win? $\frac{7}{6}$ $\frac{6}{7}$ $\frac{6}{13}$ $\frac{6}{1}$

A pile of cards centalns five cards, numbered 1 through 5 , What is the probability of NOT choosing the 2 ? $\frac{2}{6}$ $\frac{1}{4}$ $\frac{1}{5}$ $\frac{4}{5}$