There are three urns containing 2 white ...

There are three urns containing 2 white and 3 black balls, 3 white and 2 black balls, and 4 white and 1 black balls respectively. There is an equal probability of each urn being chosen. A ball is drawn at random from an urn chosen at random and is found to be white. find the probability that the ball has bee drawn from the second urn.

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