Consider two urns. The first one has two white balls and seven black balls and the second has seven white balls and five black balls. A biased coin such that P(H) = } and P(T) = (H = heads, T = tails) is flipped and if heads comes up a ball is drawn from the first urn while if the coin shows tails then a ball is drawn from the second urn. Given that a white ball has been drawn, what is the probability that the outcome of your coin toss was head? %3D

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider two urns. The first one has two white balls and seven black balls and the
second has seven white balls and five black balls. A biased coin such that P(H) = } and
P(T)= 3 (H = heads, T = tails) is flipped and if heads comes up a ball is drawn from the first
urn while if the coin shows tails then a ball is drawn from the second urn. Given that a white
ball has been drawn, what is the probability that the outcome of your coin toss was head?
Urn I
urn 2
7 white
S black
Z white
-12
%3D
7 bleck
P CH)= %4
IP (TJ =
Transcribed Image Text:Consider two urns. The first one has two white balls and seven black balls and the second has seven white balls and five black balls. A biased coin such that P(H) = } and P(T)= 3 (H = heads, T = tails) is flipped and if heads comes up a ball is drawn from the first urn while if the coin shows tails then a ball is drawn from the second urn. Given that a white ball has been drawn, what is the probability that the outcome of your coin toss was head? Urn I urn 2 7 white S black Z white -12 %3D 7 bleck P CH)= %4 IP (TJ =
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