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?
A. 4/11
B. 17/29
C. 1/72
D. 17/198
First, we need to calculate the probability of drawing a white ball from each urn:
For the first urn, the probability of drawing a white ball is 9/18 = 1/2.
For the second urn, the probability of drawing a white ball is 8/11.
To find the probability of both balls being white, we multiply the probabilities:
(1/2) * (8/11) = 1/2 * 8/11 = 8/22 = 4/11
Therefore, the probability that both balls drawn are white is A. 4/11.