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Q.

For k = 1, 2, 3 the box Bk  contains k red balls and (k+1) white halls. Let  P(B1)=12, P(B3)=16  A box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box B2   is

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a

3578

b

1439

c

1013

d

1213

answer is B.

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Detailed Solution

B1=1R,2W B2 =  2R,3W B3 =3R,4W P(B1) = 12, P(B2) = 13, P(B3) = 16 P(E/B2)  =13(25)12(13)+13(25)+16(37)                        = 1439
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For k = 1, 2, 3 the box Bk  contains k red balls and (k+1) white halls. Let  P(B1)=12, P(B3)=16  A box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box B2   is