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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 n(S)=(4+6)=10 elements.
Let A be the event in which the selected council member is a woman
Accordingly n(A)=6
P(A)=NumberofoutcomesfavourabletoATotalnumberofpossibleoutcomes=n(A)n(S)=610=35

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