103. A coin is tossed. If it turns up heads, two balls will be drawn from urn A, otherwise two balls will be drawn from urn B. Urn A contains 3 black and 5 white balls. Urn B contains 7 black and 1 white ball. In both cases selections are to be made with replacements. What is the probability that Urn A is used given that both the balls drawn are blačk ?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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103. A coin is tossed. If it turns up heads, two balls will be drawn
from urn A, otherwise two balls will be drawn from urn B. Urn A contains 3
black and 5 white balls. Urn B contains 7 black and 1 white ball. In both cases
selections are to be made with replacements. What is the probability that Urn A
is used given that both the balls drawn are blačk ?
Transcribed Image Text:103. A coin is tossed. If it turns up heads, two balls will be drawn from urn A, otherwise two balls will be drawn from urn B. Urn A contains 3 black and 5 white balls. Urn B contains 7 black and 1 white ball. In both cases selections are to be made with replacements. What is the probability that Urn A is used given that both the balls drawn are blačk ?
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