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

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

so,

The probability that a student plays a varsity sport is 0.32

so,

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

So,

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

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512