Q.

A box A contains 1 red and 2 white balls and another box B contains 3 red and 2 white balls. One ball is drawn at random from one of the boxes and it was found to be white. The probability that it was drawn from box B is

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a

28

b

58

c

78

d

38

answer is D.

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Detailed Solution

Required probability =12(25)12(23)+12(15)=25×1516=38 (Baye's theorem)
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A box A contains 1 red and 2 white balls and another box B contains 3 red and 2 white balls. One ball is drawn at random from one of the boxes and it was found to be white. The probability that it was drawn from box B is