Solved on Nov 06, 2023

Find the probability that a randomly selected 8th grade student in the School of Rock plays the keyboard, expressed as a simplified fraction.
\text{Probability} = \frac{\text{# of 8th grade keyboard players}}{\text{Total # of 8th grade students}}

STEP 1

Assumptions1. The total number of students in each grade is the sum of the students playing each instrument. . The chosen student is from the eighth grade.
3. The probability of choosing a student playing a particular instrument is the number of students playing that instrument divided by the total number of students in that grade.

STEP 2

First, we need to find the total number of eighth grade students. We can do this by adding the number of students playing each instrument.
$Total\, Eighth\, Grade\, Students = Guitar + Bass + Drums + Keyboard$

STEP 3

Now, plug in the given values for the number of students playing each instrument to calculate the total number of eighth grade students.
$Total\, Eighth\, Grade\, Students =6 +15 +10 +9$

STEP 4

Calculate the total number of eighth grade students.
$Total\, Eighth\, Grade\, Students =6 +15 +10 +9 =40$

STEP 5

Now that we have the total number of eighth grade students, we can find the probability that a randomly chosen student plays the keyboard. This is the number of students playing the keyboard divided by the total number of students.
$Probability\, (Keyboard) = Number\, of\, Keyboard\, Players / Total\, Number\, of\, Students$

STEP 6

Plug in the values for the number of keyboard players and the total number of students to calculate the probability.
$Probability\, (Keyboard) =9 /40$

STEP 7

The probability that an eighth grader chosen at random will play the keyboard is $9/40$ .

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Find the probability that a randomly selected 8th grade student in the School of Rock plays the keyboard, expressed as a simplified fraction.
\text{Probability} = \frac{\text{# of 8th grade keyboard players}}{\text{Total # of 8th grade students}}

STEP 1

STEP 2

First, we need to find the total number of eighth grade students. We can do this by adding the number of students playing each instrument.
$Total\, Eighth\, Grade\, Students = Guitar + Bass + Drums + Keyboard$

STEP 3

Now, plug in the given values for the number of students playing each instrument to calculate the total number of eighth grade students.
$Total\, Eighth\, Grade\, Students =6 +15 +10 +9$

STEP 4

Calculate the total number of eighth grade students.
$Total\, Eighth\, Grade\, Students =6 +15 +10 +9 =40$

STEP 5

STEP 6

Plug in the values for the number of keyboard players and the total number of students to calculate the probability.
$Probability\, (Keyboard) =9 /40$

STEP 7

The probability that an eighth grader chosen at random will play the keyboard is $9/40$ .

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Find the probability that a randomly selected 8th grade student in the School of Rock plays the keyboard, expressed as a simplified fraction.\text{Probability} = \frac{\text{# of 8th grade keyboard players}}{\text{Total # of 8th grade students}}

STEP 1

STEP 2

STEP 3

Now, plug in the given values for the number of students playing each instrument to calculate the total number of eighth grade students.Total Eighth Grade Students=6+15+10+9Total\, Eighth\, Grade\, Students =6 +15 +10 +9TotalEighthGradeStudents=6+15+10+9

STEP 4

Calculate the total number of eighth grade students.Total Eighth Grade Students=6+15+10+9=40Total\, Eighth\, Grade\, Students =6 +15 +10 +9 =40TotalEighthGradeStudents=6+15+10+9=40

STEP 5

STEP 6

Plug in the values for the number of keyboard players and the total number of students to calculate the probability.Probability (Keyboard)=9/40Probability\, (Keyboard) =9 /40Probability(Keyboard)=9/40

STEP 7

The probability that an eighth grader chosen at random will play the keyboard is 9/409/409/40.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the probability that a randomly selected 8th grade student in the School of Rock plays the keyboard, expressed as a simplified fraction.
\text{Probability} = \frac{\text{# of 8th grade keyboard players}}{\text{Total # of 8th grade students}}

Now, plug in the given values for the number of students playing each instrument to calculate the total number of eighth grade students.
$Total\, Eighth\, Grade\, Students =6 +15 +10 +9$

Calculate the total number of eighth grade students.
$Total\, Eighth\, Grade\, Students =6 +15 +10 +9 =40$

Plug in the values for the number of keyboard players and the total number of students to calculate the probability.
$Probability\, (Keyboard) =9 /40$

The probability that an eighth grader chosen at random will play the keyboard is $9/40$ .