Question
A bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls. If one ball is drawn from each bag, find the probability that both are black.
Solution
Let A denote the event ‘a black ball is taken from first bag and B denote the event ‘a black ball is taken from second bag’.
P(both balls are black) = P(AB) = P(A). P(B) =
P(both balls are black) = P(AB) = P(A). P(B) =
