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