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Three Urns have the following compositio...

Three Urns have the following composition of balls.
Urn I : 1 white, 2 black
Urn II : 2 white, 1 black
III : 2 white, 2 black
One of the Urn is selected at random and a ball is drawn. It turns out to be white. Find the probability that it come from Urn III.

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