Question

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

Answer 1

Conditional probability for two events A and B given that B has already occured is expressed as

P(AIB) = P(An B)/P(B)

Given that

P(An B) = 4/9 and P(B) = 1/3, it means that

P(AIB) = 4/9 / 1/3

P(AIB) = 4/9 * 3/1 = 4/3

P(AIB) = 4/3