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

    Question

    A bag contains 7 orange balls, 8 red balls and 5 black

    balls. Three balls are drawn at random. Find the probability that at least two balls are red.
    A (49/114) Correct Answer Incorrect Answer
    B (77/285) Correct Answer Incorrect Answer
    C (98/285) Correct Answer Incorrect Answer
    D (23/114) Correct Answer Incorrect Answer
    E (5/57) Correct Answer Incorrect Answer

    Solution

    Total = 7 + 8 + 5 = 20
    Required probability = (Two red and one other) + (Three red)

    = 3 × [(8/20) × (7/19) × (12/18)] + (8/20 × 7/19 × 6/18)
    = (2016/6840) + (336/6840)
    = (2352/6840) = (98/285) = 5/57

    Practice Next
    More Probability Questions
    ask-question