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Q.

Bag P contains 6 red and 4 blue balls and bag Q contains 5 red and 6 blue balls. A ball is transferred from bag P to bag Q and then a ball is drawn from bag Q. What is the probability that the ball drawn is blue?

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a

419

b

819

c

715

d

815

answer is B.

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Detailed Solution

By using law of total probability, we get 

P(A)=PE1PA∣E1+PE2PA∣E2

=35×12+25×712=815

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