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Question

There are three similar boxes, containing:
(i) 5 black and 5 white balls
(ii) 3 black and 7 white balls
(iii) 6 black and 4 white balls, respectively.

Sarosh chooses one of the three boxes at random and from that particular box, he picks up a ball at random and finds that the ball is black.
What is the probability that the ball is picked up from the second box?


A

9/14

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B

5/14

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C

11/14

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D

3/14

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E

none

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Solution

The correct option is D

3/14


Total number of black balls = 6+3+5 = 14

Total number of ways of picking black ball = 14
Out of those, 3 are from the 2nd box.

Required probability = 314


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