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A committee of three persons is to be randomly selected from a group of three men and two women and the chair person will be randomly selected from 2 woman and 1 men for the committee. The probability that the committee will have exactly two woman and one man and that the chair person will be a woman, isA. `(1)/(5)`B. `(8)/(15)`C. `(2)/(3)`D. `(3)/(10)` |
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Answer» Correct Answer - A `n(S)=^(5)C_(3)=10,n(A)=^(3)C_(1).^(2)C_(2)=3` `becauseP(2W` and `1M)=(3)/(10)` So, `P(2W` and `1M` and chair person is woman) `=(3)/(10)(2)/(3)=(1)/(5)` |
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