An urn contains 2 white balls and 8 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.1. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.) An urn contains 2 white balls and 8 red balls. A second urn contains 6 white balls and 4 red balls. An urn is selected, and the probability of selecting the first urn is 0.5. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) (a) the probability that the urn selected was the first one (b) the probability that the urn selected was the second one