Question

The probability that a high school student in in the marching band is 0.47. The probability that a student plays a varsity sport is 0.32. The probability that a student is in the marching band and plays a varsity sport is 0.24.

What is the probability that a student plays a varsity sport if we know she is in the marching band?

Question 9 options:

.51


.75


.32


.24

Answer 1

5\30

Explanation:

apexs

Answer 2

The probability that a high school student in in the marching band is 0.47

so,
`P(M)=0.47`

The probability that a student plays a varsity sport is 0.32

so,
`P(V)=0.32`

the probability that a student is in the marching band and plays a varsity sport is 0.24

so, we get

P(M∩V)=0.24

a student plays a varsity sport if we know she is in the marching band

so,

P(V|M)=(P(V∩M))/(P(M))

now, we can plug values

and we get

`P(V|M)=(0.24)/(0.47)`

`P(V|M)=0.51063`

So,

the probability that a student plays a varsity sport if we know she is in the marching band is 0.51063......Answer