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A what is the probability that 5 black balls are observed

An urn contains 4 black balls and 5 white balls. After a thorough mixing, a ball is drawn from the urn, its color is noted, and the ball is returned to the urn.

(a) What is the probability that 5 black balls are observed in 15 such draws?

(b) What is the probability that 15 draws are required until the first black ball is observed?

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