19. An urn contains n red and m blue balls. They are withdrawn one at a time until a total of r,r ≤n, red balls have been withdrawn. Find the probability that a total of k balls are withdrawn. Hint: A total of k balls will be withdrawn if there are r 1 red balls in the first k-1 withdrawals and the kth withdrawal is a red ball. 00

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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How can I find the probability that a total of k balls are withdrawn? 

19. An urn contains n red and m blue balls. They are withdrawn one at a time
until a total of r,r ≤n, red balls have been withdrawn. Find the probability that
a total of k balls are withdrawn.
Hint: A total of k balls will be withdrawn if there are r 1 red balls in the first
k 1 withdrawals and the kth withdrawal is a red ball.
Transcribed Image Text:19. An urn contains n red and m blue balls. They are withdrawn one at a time until a total of r,r ≤n, red balls have been withdrawn. Find the probability that a total of k balls are withdrawn. Hint: A total of k balls will be withdrawn if there are r 1 red balls in the first k 1 withdrawals and the kth withdrawal is a red ball.
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