There are n urns and each urn contains a white and b red balls. A ball is chosen from Urn 1 and put into Urn 2. Now a ball is chosen at random from urn 2 and put into urn 3 and this is continued. Finally a ball drawn from Urn n. Find the probability that it is white.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 32E
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There are n urns and each urn contains a white and b red balls. A ball is
chosen from Urn 1 and put into Urn 2. Now a ball is chosen at random from
urn 2 and put into urn 3 and this is continued. Finally a ball drawn from Urn n.
Find the probability that it is white.
Transcribed Image Text:There are n urns and each urn contains a white and b red balls. A ball is chosen from Urn 1 and put into Urn 2. Now a ball is chosen at random from urn 2 and put into urn 3 and this is continued. Finally a ball drawn from Urn n. Find the probability that it is white.
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