Question

In an experiment, the probability that event A occurs is 3/5, the probability that event B occurs is 1/3, and the probability that events A and B both occur is 2/9.
What is the probability that A occurs given that B occurs?

Simplify any fractions.

Answer 1

P(A|B) = P(A ∩ B) / P(B) = (2/9) / (1/3) = (2/9)×3 = 6/9 = 2/3.