One of two biased coins A and B is selected and flipped. Let A be the event that coin A is selected and B be the event that coin B is selected, with probabilities p(A) = 0.2 and p(B) = 0.8. When coin A is flipped, the probability of heads is 0.4. When coin B is flipped, the probability of heads is 0.3. Let H be the event that the selected coin comes up heads. Complete the values X, Y, and Z in Bayes' Theorem to determine the probability coin B was chosen if the flip came up heads. p(B|H)=000000⋅p(B)00000000⋅p(B)+00000000⋅p(A) X Y Z

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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One of two biased coins A and B is selected and flipped. Let A be the event that coin A is selected and B be the event that coin B is selected, with probabilities p(A) = 0.2 and p(B) = 0.8. When coin A is flipped, the probability of heads is 0.4. When coin B is flipped, the probability of heads is 0.3.
Let H be the event that the selected coin comes up heads. Complete the values X, Y, and Z in Bayes' Theorem to determine the probability coin B was chosen if the flip came up heads.
p(B|H)=000000⋅p(B)00000000⋅p(B)+00000000⋅p(A)
X
Y
Z
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