A bag contains 8 white balls, 5 red balls, and 7 black balls. If 3 balls are

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A bag contains 8 white balls, 5 red balls, and 7 black balls. If 3 balls are drawn at random from the bag, without replacement, what is the probability that

(a) The first two balls are red and the third is black?

(b) The third ball is black given that the first is black?

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