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Three identical urns contain white and b...

Three identical urns contain white and black balls. The first urn contains 2 white and 3 black balls, the second urn 3 white and 2 black balls and the third urn 1 black and 4 white balls. An urn is chosen at random and a ball is drawn from it. If the ball drawn is white, what is the probability that the first urn is chosen ?

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The correct Answer is:
`(2)/(9)`
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