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

2141

b

1031

c

1231

d

1341

answer is B.

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Detailed Solution

P(A) = 2.P(B) ⇒ P(A)= 23                                  P(B)= 13P(R/A) =35, P(R/B) =47P(B/R) = 13×4723×35+13×47                = 1031
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