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Conditional Probability

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Question

There are four men and six women on the city council. If one council member is selected for a committee at random, how likely is it that it is a woman?

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Solution

There are four men and six women on the city council.

As one council member is to be selected for a committee at random, the sample space contains 10 (4 + 6) elements.

Let A be the event in which the selected council member is a woman.

Accordingly, n(A) = 6

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