Question

This Venn diagram shows sports played by 10 students .

Let event A = the student plays basketball
Let event B = The students play soccer.
What is p(a|b)?

Answer 1

answer is C

Explanation:

Answer 2

The correct answer is C

EXPLANATION

The conditional probability, P(A|B) means,, probability of A given that B has occurred.

It is given by the formula:
`P(A|B)=(P(A\cap B))/(P(B))`

From the Venn diagram,
`A\cap =`{Ian,Ella} and B={Lan,Ella,Micky,Mai, Marcus}

`P(A\cap B)=(2)/(10)` and
`P(B)=(5)/(10)`

This implies that:

`P(A|B)=((2)/(10) )/((5)/(10) ) =(2)/(10)*(10)/(5)=(2)/(5)`

The correct answer is C