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Mathematics, 20.08.2021 03:00 moisescab662

One of two biased coins A and B is selected and flipped 2 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. Required:
Find p(B|HHH).

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