Question

Two urns contain white balls and yellow balls. The first urn contains 9 white balls and 9 yellow balls and the second urn contains 8 white balls and 3 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?

Answer 1

8/22

Explanation:

P(first urn is white) = 9/(9+9) = 9/18 = 1/2

P(second urn is white) = 8/ (8+3) = 8/11

P(both are white) = 1/2 * 8/11 = 8/22