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NCERT Class XI Mathematics - Probability - Solutions

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Question : 29 of 54
Marks: +1, -0
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?
Solution:  
There are 6 women and 4 men.
An experiment consists of selecting a council member at random.
∴ n(S) = 10
Let E be the event that the selected council member will be a woman.
n(E) = 6
∴ P (E) = n(E)n(S)\frac{n(E)}{n(S)} = 610\frac{6}{10} = 35\frac{3}{5}
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