Multiple Choice Questions on A committee of 5 people is to be formed from among 4 girls and 5 boys What is the probability that t........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A committee of 5 people is to be formed from among 4 girls and 5 boys What is the probability that t...........

Quantitative Aptitude ( CCS) Probability
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    A committee of 5 people is to be formed from among 4 girls and 5 boys. What is the probability that the committee will have less number of boys than girls?

    7/12

    Incorrect Answer

    7/15

    Incorrect Answer

    6/13

    Incorrect Answer

    5/14

    Correct Answer
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    Explanation:

    Case 1: 1 boy and 4 girls
    Prob. = 5C1 × 4C4/9C5 = 5/146
    Case 2: 2 boys and 3 girls
    Prob. = 5C2 × 4C3/9C5 = 40/126
    Add the two cases = 45/126 = 5/14

    Hence, option 4 is the correct answer.

    By: Amit Kumar
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