Answer:
[tex]0.51[/tex]
Step-by-step explanation:
The probability that a high school student is in the matching band is, [tex]P(M)=0.47[/tex]
The probability that a student plays a varsity sport is, [tex]P(V)=0.32[/tex].
Th probability that a student is in the marching band and plays a varsity sports is ; [tex]P(M\cap V)=0.24[/tex].
The probability that a student plays a varsity sport if we know she is in the marching band is given by:
[tex]P(V|M)=\frac{P(M\cup V)}{P(M)}[/tex]
[tex]P(V|M)=\frac{0.24}{0.47}[/tex]
[tex]P(V|M)=0.51[/tex]
