Two boys play basketball in the following way. They take turns shooting and stop when a basket is made. Player A goes first with a probability p1 of making a basket on any throw. Player B, who shoots second, has probability 2 p of making a basket. The outcomes of the successive trials are assumed to be independent. (a) Find the probability mass function for the total number of attempts. (b) What is the probability that player A wins

Question

Donavan Pope

14 July, 01:52

+2

Answers (1)

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Miley Ponce · Answer 1

P (A) = p1 (1 - q1q2)

Step-by-step explanation:

Let A = player A wins,

then P (A) = p1 + (1 - p1) (1 - p2) P (A)

⇒ P (A) = p1 (1 - q1q2)