IIT JEE Advanced 2011 Paper 1

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Let U1 and U2 be two urns such that U1 contains 3 white and 2 red balls, and U2 contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U1 and put into U2. However, if tail appears then 2 balls are drawn at random from U1 and put into U2. Now 1 ball is drawn at random from U2.
Section: Mathematics
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Question : 58 of 69
 
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The probability of the drawn ball from U2 being white is
[JEE Adv 2011 P1]
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