Bag A contains 4 red, 3 white and 2 blac...

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.

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The correct Answer is:

`6/31`

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