Question

There are three similar boxes, containing(i). 6 black and 4 white balls(ii). 3 black and 7
white balls(iii). 5 black and 5 white balls, respectively. If you choose one of the three
boxes at random and from that particular box picks up a ball at random, and nd that to
be black, what is the probability that the ball picked up from the second box?​

Answer 1

This is easy.

The first box contains 6 black and 4 white

The second box contains 3 black and 5 white

The third box contains 5 black and 5 white

Total number of black balls =6+3+5=14

Total number of ways of picking black ball =14

There are 3 black balls in the second box so,

Required probability = 3/14

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