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Let U1 , and U2, be two urns such that U...

Let `U_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,` .61 . The probability of the drawn ball from `U_2,` being white is

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Let U_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, . The probability of the drawn ball from U_2, being white is

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