Question: There are three boxes. The first one contains 1 white and 3 black balls, the second one 2 white and 2 black balls, the third

There are three boxes. The first one contains 1 white and 3 black balls, the second one 2 white and 2 black balls, the third one is empty. Suppose that one ball from the first box and one ball from the second box are taken out randomly and independently, and placed in the third box. (a) Find the probability that a ball taken out randomly from the third box will be white. (b) Suppose that a ball taken out from the third box is white. Find the probability that a black ball was taken out from the first box.

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