Math / Data & Statistics

QuestionLacey volunteers in the lunchroom once a week and hands out drinks to the students who buy lunch. So far today, 9 students chose orange juice, 8 chose milk, and 13 chose water.
Based on the data, what is the probability that the next student will choose milk? Write your answer as a fraction or whole number. $\square$

Studdy Solution

STEP 1

What is this asking? What are the chances the next kid picks milk, given what we know about the drinks chosen so far? Watch out! Don't forget to count all the drinks given out so far to get the total!

STEP 2

1. Find the total number of drinks.
2. Calculate the probability.

STEP 3

Alright, let's add up all the drinks Lacey has given out so far.
We've got $9$ orange juices, $8$ milks, and $13$ waters.

STEP 4

So, the total number of drinks is $9 + 8 + 13 = 30$ .
Thirty drinks!
Keep that number in mind, it's important!

STEP 5

Probability means the chance of something happening.
We want the probability that the next student chooses milk.
There are $8$ milks out of a total of $30$ drinks.

STEP 6

The probability is the number of favorable outcomes (picking milk) divided by the total number of possible outcomes (all the drinks).
So, our probability is $\frac{8}{30}$ .

STEP 7

Can we simplify this fraction?
Yes! Both $8$ and $30$ are divisible by $2$ .
Dividing both the numerator and the denominator by $2$ gives us $\frac{8}{30} = \frac{8 \div 2}{30 \div 2} = \frac{4}{15}$ .

STEP 8

The probability that the next student will choose milk is $\frac{4}{15}$ .

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Studdy Solution

STEP 1

What is this asking? What are the chances the next kid picks milk, given what we know about the drinks chosen so far? Watch out! Don't forget to count all the drinks given out so far to get the total!

STEP 2

1. Find the total number of drinks.
2. Calculate the probability.

STEP 3

Alright, let's add up all the drinks Lacey has given out so far.
We've got $9$ orange juices, $8$ milks, and $13$ waters.

STEP 4

So, the total number of drinks is $9 + 8 + 13 = 30$ .
Thirty drinks!
Keep that number in mind, it's important!

STEP 5

Probability means the chance of something happening.
We want the probability that the next student chooses milk.
There are $8$ milks out of a total of $30$ drinks.

STEP 6

The probability is the number of favorable outcomes (picking milk) divided by the total number of possible outcomes (all the drinks).
So, our probability is $\frac{8}{30}$ .

STEP 7

Can we simplify this fraction?
Yes! Both $8$ and $30$ are divisible by $2$ .
Dividing both the numerator and the denominator by $2$ gives us $\frac{8}{30} = \frac{8 \div 2}{30 \div 2} = \frac{4}{15}$ .

STEP 8

The probability that the next student will choose milk is $\frac{4}{15}$ .

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Studdy Solution

STEP 1

What is this asking? What are the chances the next kid picks milk, given what we know about the drinks chosen so far? Watch out! Don't forget to count *all* the drinks given out so far to get the total!

STEP 2

1. Find the total number of drinks.2. Calculate the probability.

STEP 3

Alright, let's **add up** all the drinks Lacey has given out so far.We've got 999 orange juices, 888 milks, and 131313 waters.

STEP 4

So, the **total number** of drinks is 9+8+13=309 + 8 + 13 = 309+8+13=30.Thirty drinks!Keep that number in mind, it's important!

STEP 5

Probability means the chance of something happening.We want the probability that the next student chooses milk.There are 888 milks out of a **total** of 303030 drinks.

STEP 6

The probability is the **number of favorable outcomes** (picking milk) divided by the **total number of possible outcomes** (all the drinks).So, our probability is 830\frac{8}{30}308​.

STEP 7

Can we simplify this fraction?Yes! Both 888 and 303030 are divisible by 222.Dividing both the **numerator** and the **denominator** by 222 gives us 830=8÷230÷2=415\frac{8}{30} = \frac{8 \div 2}{30 \div 2} = \frac{4}{15}308​=30÷28÷2​=154​.

STEP 8

The probability that the next student will choose milk is 415\frac{4}{15}154​.

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What is this asking? What are the chances the next kid picks milk, given what we know about the drinks chosen so far? Watch out! Don't forget to count all the drinks given out so far to get the total!

1. Find the total number of drinks.
2. Calculate the probability.

Alright, let's add up all the drinks Lacey has given out so far.
We've got $9$ orange juices, $8$ milks, and $13$ waters.

So, the total number of drinks is $9 + 8 + 13 = 30$ .
Thirty drinks!
Keep that number in mind, it's important!

Probability means the chance of something happening.
We want the probability that the next student chooses milk.
There are $8$ milks out of a total of $30$ drinks.

The probability is the number of favorable outcomes (picking milk) divided by the total number of possible outcomes (all the drinks).
So, our probability is $\frac{8}{30}$ .

Can we simplify this fraction?
Yes! Both $8$ and $30$ are divisible by $2$ .
Dividing both the numerator and the denominator by $2$ gives us $\frac{8}{30} = \frac{8 \div 2}{30 \div 2} = \frac{4}{15}$ .

The probability that the next student will choose milk is $\frac{4}{15}$ .