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Bag A contains 4 red, 3 white and 2 black balls. Bag B contains 3 red, 2 white and 3 black balls. One ball is transferred from bag A to bag B and then a ball is drawn from bag B . The ball so drawn is found to be red. Find the probability that the transferred ball is black.

Bag A contains 4 red, 3 white and 2 black balls. Bag B contains 3 red, 2 white and 3 black balls. One ball is transferred from bag A to bag B and then a ball is drawn from bag B. The ball so drawn is found to be red. Find the probability that the transferred ball is black.

Grade:12

1 Answers

Ekant Sukheja
34 Points
6 years ago
Dear friend,
Total balls in bag A=4+3+2
Number of black balls=2
Probability that the ball transfered is black(E)=2/9
Hence,the probability that transferred ball is black is 2/9 or,0.222

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