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Bag I contains 3 red and 4 black balls a...

Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.

Text Solution

Verified by Experts

The correct Answer is:
`(16)/(31)`
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Knowledge Check

  • Box B_(1) contains 4 white and 6 black balls and box B_(2) contains 6 white and 4 black balls. Now one balanced coin is tossed. If two head comes up then 2 balls are drawn from box B_(1) other wise 2 white balls are drawn from Box B_(2) . Then find probability of an event that selected both balls are of white colour.

    A
    `(19)/(60)`
    B
    `(21)/(60)`
    C
    `(17)/(60)`
    D
    `(23)/(60)`

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