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Let U(1) and U(2) be two urns such that ...

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, than 1 ball is drawn at random for `Us_(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

A

`(13)/(30)`

B

`(23)/(30)`

C

`(19)/(30)`

D

`(11)/(30)`

Text Solution

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The correct Answer is:
B
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