A basket contains 5 white and 9 black balls. There is another basket which contains 7 white and 7 black balls. One ball is to drawn from either of the two baskets. What is the probability of drawing a black ball?

Assuming the choice of basket is equally likely, the probability of choosing either basket is 1/2. The probability of drawing a black ball from the first basket is 9/14, and from the second basket it is 7/14 or 1/2. The total probability is (1/2 times 9/14) plus (1/2 times 1/2), equaling 9/28 plus 7/28, which is 16/28 or 4/7.

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