IIT JEE Advanced 2011 Paper 1
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LetU 1 and U 2 be two urns such that U 1 contains 3 white and 2 red balls, and U 2 contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U 1 and put into U 2 . However, if tail appears then 2 balls are drawn at random from U 1 and put into U 2 . Now 1 ball is drawn at random from U 2 .
Let
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The probability of the drawn ball from U 2 being white is
[JEE Adv 2011 P1]
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