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involving the flipping of either a fair or weighted coin. Assume that the weighted coin yields...

involving the flipping of either a fair or weighted coin. Assume that the weighted coin yields a heads with probability 0.45. You select one of the two coins at random, and flip it 3 times, noting heads or tails with each flip.

What is the probability that the weighted coin was selected, given that all 3 flips turned up heads?

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