An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its

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An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its color is noted and it is replaced in the urn along with 2 other balls of the same color. Compute the probability that

a. The first 2 balls selected are black and the next 2 are white;

b. Of the first 4 balls selected, exactly 2 are black.

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