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3 years ago

This Venn diagram shows sports played by 10 students.

Mathematics

1 answer:

seropon [69]3 years ago

5 0

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

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