An urn contains n red and m blue balls. They are withdrawn one at a time until a total of r, r ?

Name: 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 They are withdrawn one at a time until a total of r, r ? n, red balls have been withdrawn. Find the probability that a total of k balls are withdrawn. Hint: A total of k balls will be withdrawn if there are r - 1 red balls in the first k - 1 withdrawals and the kth withdrawal is a red ball.
Uploaded: 2022-01-11T17:49:10-08:00
Duration: 1 min 50 s
Channel: Amany Waheeb
Description: 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 They are withdrawn one at a time until a total of r, r ? n, red balls have been withdrawn. Find the probability that a total of k balls are withdrawn. Hint: A total of k balls will be withdrawn if there are r - 1 red balls in the first k - 1 withdrawals and the kth withdrawal is a red ball.

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Adi S · Accepted Answer

First, we need to find the number of ways to choose r-1 red balls from n and k-r blue balls from

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