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Two marbles are drawn at random and with replacement from a box containing 2 red, 3...

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Statistics

Two marbles are drawn at random and with replacement from a boxcontaining 2 red, 3 green, and 4 blue marbles. Let's define thefollowing events: A = {two red marbles are drawn} B = {two greenmarbles are drawn} C = {two blue marbles are drawn} D = two marblesof the same color are drawn}

Find the probabilities of the following events:

(a) P(A), P(B), P(C), and P(D).

(b) P(A|D).

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