An urn contains five white and three red chips. Each time

Chapter , Problem 6

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An urn contains five white and three red chips. Each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips. What is the probability that, in successive drawing of chips, the colors of the first four chips alternate?

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