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? (1 point) Responses Image with alt text: four over eleven Image with alt text: seventeen over twenty-nine Image with alt text: one over seventy-two
To find the probability that both balls drawn are white, we need to multiply the probability of drawing a white ball from the first urn by the probability of drawing a white ball from the second urn.
In the first urn, the probability of drawing a white ball is 9/18 = 1/2
In the second urn, the probability of drawing a white ball is 8/11
Therefore, the probability of drawing two white balls is (1/2) * (8/11) = 4/11
So, the probability that both balls drawn are white is 4/11.