ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    A committee of 4 members is to be formed from 6 men and

    4 women. Find the probability that the committee will have at least 2 women.
    A 33/35 Correct Answer Incorrect Answer
    B 23/42 Correct Answer Incorrect Answer
    C 21/42 Correct Answer Incorrect Answer
    D 11/21 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total number of ways to form a committee of 4 from 10 people: = 10C4 = 210. Now, favorable cases (at least 2 women): Possible cases: (2W, 2M), (3W, 1M), (4W, 0M) Case 1: 2W, 2M = 4C2 ├Ч 6C2 = 6 ├Ч 15 = 90 Case 2: 3W, 1M = 4C3 ├Ч 6C1 = 4 ├Ч 6 = 24 Case 3: 4W, 0M = 4C4 ├Ч 6C0 = 1 ├Ч 1 = 1 Total favorable = 90 + 24 + 1 = 115 Probability = favorable / total = 115 / 210 = 23 / 42

    Practice Next
    More Probability Questions

    Relevant for Exams:

    ask-question