Question

According to the general equation for conditional probability, if P(A n B) = 4/9 and P(B) = 1/3 what is P ( A|B)?

A. 5/6
B. 2/3
C. 1/6
D. 1/3

Answer 1

The Correct answer is B: 2/3

Answer 2

This is the concept of probability; To solve the for the P(A|B) we proceed as follows;
P(A|B)=[P(A∩B)]/P(B)
P(A∩B)=4/9
P(B)=1/3
P(A|B)=(4/9)/(1/3)
P(A|B)=4/9*3/2=2/3
The answer is B] 2/3