Question

This Venn diagram shows sports played by 10 students.

Answer 1

Answer: Option A

$P(A|B)=\frac{3}{5}=0.6$

Step-by-step explanation:

By Definition the probability of A given B is:

$P(A|B)=\frac{P(A\ and\ B)}{P(B)}=\frac{A\ and\ B}{B}$

Note that the number of students playing basketball is 6

The number of students playing soccer is 5

The number of students who play both sports is 3

Therefore we have that:

$P(A|B)=\frac{3}{5}=0.6$

The answer is the option A