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    Question

    In a bag, there are ‘x’ pink balls and 15 white

    balls. If the probability of drawing a pink ball is 3/8, then calculate the probability of getting two balls of different colours when chosen at random.
    A 10/21 Correct Answer Incorrect Answer
    B 45/92 Correct Answer Incorrect Answer
    C 21/40 Correct Answer Incorrect Answer
    D 11/12 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Total = x + 15 So, x/(x + 15) = 3/8 Or, 8x = 3x + 45 So, x = 9 Desired Probability = (9C1 × 15C1)/(24C2) = (2 × 9 × 15)/(24 × 23) = 270/552 = 135/276 = 45/92

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