An urn contains n white balls, m black balls and I red balls, which are drawn at random one at a time (a) without replacement, (b) with replacement of each ball to the urn after each draw. Find the probability that in both cases a white ball will be drawn before a black one.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 29CT
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An urn contains n white balls, m black balls and I red balls, which are drawn at
random one at a time (a) without replacement, (b) with replacement of each
ball to the urn after each draw. Find the probability that in both cases a white
ball will be drawn before a black one.
Transcribed Image Text:An urn contains n white balls, m black balls and I red balls, which are drawn at random one at a time (a) without replacement, (b) with replacement of each ball to the urn after each draw. Find the probability that in both cases a white ball will be drawn before a black one.
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