Urn I contains 2 white and 4 red balls, whereas urnII

Chapter 3, Problem 3.23

(choose chapter or problem)

Urn I contains 2 white and 4 red balls, whereas urnII contains 1 white and 1 red ball. A ball is randomlychosen from urn I and put into urn II, and aball is then randomly selected from urn II. What is(a) the probability that the ball selected from urnII is white?(b) the conditional probability that the transferredball was white given that a white ballis selected from urn II?

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