For two events A and B, let $$P(A) = {1 \over 2}$$, $$P(A \cup B) = {2 \over 3}$$ and $$P(A \cap B) = {1 \over 6}$$. What is $$P(\overline A \cap B)$$ equal to ?

Let A and B be two events with $$P(A) = {1 \over 3}$$, $$P(B) = {1 \over 6}$$ and $$P(A \cap B) = {1 \over {12}}$$. What is $$P(B\,|\,\overline A )$$ equal to ?

In a binomial distribution, the mean is $${2 \over 3}$$ and the variance is $${5 \over 9}$$. What is the probability that X = 2 ?

The probability that a ship safely reaches a port is $${1 \over 3}$$. The probability that out of 5 ships, at least 4 ships would arrive safely is