Question

Five identical bowls are labeled 1, 2, 3, 4, and 5. Bowl i contains i white...

Five identical bowls are labeled 1, 2, 3, 4, and 5. Bowl i contains i white and 5 − i black balls, with i = 1, 2,    , 5.

A bowl is randomly selected and two balls are randomly selected (without replacement) from the contents of the bowl.

Given that both balls selected are white, what is the probability that bowl 5 was selected?

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