Question

2 students at Central Middle School were polled about their activities. The poll showed that 48% of students play a musical Instrument, and 39% of students play a musical Instrument and are on a sports team. What is the probability that a student is on a sports team given that the student plays a musical Instrument?

Answer 1

answer your answer is 178.75

97.5-(-81.25)

you want to apply the keep change change rule

97.5+81.25 = 178.75 am i right

Answer 2

81.25% probability that a student is on a sports team given that the student plays a musical Instrument

Explanation:

We use the conditional probability formula to solve this question. It is

`P(B|A) = (P(A \cap B))/(P(A))`

In which

P(B|A) is the probability of event B happening, given that A happened.

`P(A \cap B)` is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Playing a musical instrument.

Event B: Being on a sports team.

48% of students play a musical Instrument

This means that
`P(A) = 0.48`

39% of students play a musical Instrument and are on a sports team.

This means that
`P(A \cap B) = 0.39`

What is the probability that a student is on a sports team given that the student plays a musical Instrument?

`P(B|A) = (P(A \cap B))/(P(A)) = (0.39)/(0.48) = 0.8125`

81.25% probability that a student is on a sports team given that the student plays a musical Instrument