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Mathematics, 30.11.2021 23:40 MsTasha06

One of two biased coins A and B is selected and flipped 3 times. Let A be the event that coin A is selected and B be the event that coin B is selected, with probabilities p(A) = 0.4 and p(B) = 0.6. When coin A is flipped, the probability of heads is 0.9. When coin B is flipped, the probability of heads is 0.7. Let HHH be the event that the selected coin comes up heads 3 times. Complete the values X, Y, and Z in Bayes' Theorem to determine the probability coin B was chosen if all 3 flips come up heads. X p(B|HHH) Ex: 0.128].0.6 Ex: 0.123 .0.6 + Ex: 0.128 Y Z 0.4

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