(Answered) A box contains n white and m black balls one ball is added

Statistics

A box contains n white and m black balls. One ball is added randomly, white with probability p and black with probability 1 - p. Then a random ball is taken out from the box.

(a) Find the probability that the taken ball is white.

(b) It turned out that the taken ball is white. Find the conditional probability that the added ball was white.

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