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Let U1 and U2 be two urns such that U1 c...

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. Given that the drawn ball from U2 is white, the probability that head appeared on the coin is

A

`(13)/(30)`

B

`(23)/(30)`

C

`(19)/(30)`

D

`(11)/(30)`

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The correct Answer is:
B
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