Q.

Box A contains 2 black and 3 red balls, while box B contains 3 black and 4 red balls. Out of these two boxes one is selected at random, and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box then the probability that it has come from box B is              

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a

1341

b

2141

c

1231

d

1031

answer is B.

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Detailed Solution

  P(A)=2.P(B)P(A)=23

                                  P(B)=13

P(R/A)=35,P(R/B)=47

P(B/R)=13×4723×35+13×47

                =1031

 

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