📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!


    Question

    A committee of 4 members is to be formed from 5 men and

    3 women. What is the probability that the committee will have exactly 2 women?
    A 4/5 Correct Answer Incorrect Answer
    B 3/7 Correct Answer Incorrect Answer
    C 5/7 Correct Answer Incorrect Answer
    D 2/9 Correct Answer Incorrect Answer

    Solution

    Total people = 5 + 3 = 8 Total ways to choose 4 = 8C4 = 70 For exactly 2 women: choose 2 women from 3 and 2 men from 5: Ways = 3C2 × 5C2 = 3 × 10 = 30 Probability = 30 / 70 = 3/7.

    Practice Next
    ask-question