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

    Question

    A bag contains 4 yellow, 5 black and 7 white flowers.

    Three flowers are drawn randomly. Quantity I: What is the probability that all three flowers are of white colour? Quantity II: What is the probability that all three flowers are of different colour? In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer:
    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity I < Quantity II Correct Answer Incorrect Answer
    C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
    E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

    Solution

    Quantity I: n(s) = ¹⁶C₃ = (16 × 15 × 14)/(3 × 2 × 1) = 560 n(E) = ⁷C₃ = (7 × 6 × 5)/(3 × 2 × 1) = 35 P(E) = 35/560 = 35/560 = 1/16 Quantity II. n(s) = ¹⁶C₃ = (16 × 15 × 14)/(3 × 2 × 1) = 560 n(E) = ⁴C₁ × ⁵C₁ × ⁷C₁ P(E) = 140/560 = 1/4 Hence, Quantity I < Quantity II

    Practice Next
    More Quantity Inequality Questions

    Relevant for Exams:

    ask-question