King Mattress purchases Sleep-n-Air mattresses from three different distributors.  The probability of getting a defective mattress from Distributor A, B, or C is 0.18, 0.12, and 0.54, respectively.  Assume an equal probability of making a purchase from each distributor A, B, or C.  If King Mattress sells a defective mattress, what is the probability that it came from Distributor A?

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