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Question -

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



Answer -

Given: There are fourmen and six women on the city councils.

By using the formula,

P (E) = favourableoutcomes / total possible outcomes

From the city councilone person is selected as a council member so, we have to find the probabilitythat it is a woman.

Total possibleoutcomes of selecting a person is 10C1

n (S)= 10C1 =10

Let E be the eventthat it is a woman

n (E) = 6C=6

P (E) = n (E) / n (S)

= 6 / 10

= 3/5

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