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    Question

    The probability of selecting a rotten apple randomly

    from a heap of 150 apples is 0.28. What is the number of rotten apples in the heap?
    A 42 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 64 Correct Answer Incorrect Answer
    D 52 Correct Answer Incorrect Answer

    Solution

    Total number of apples in the heap = n(S) = 150 Let E be the event of selecting a rotten apple from the heap. Number of outcomes favourable to E = n(E) P(E) = n(E)/n(S) 0.28 = n(E)/150 ⇒ n(E) = 150 × 0.28 ⇒ n(E) = 42 Therefore, the number of rotten apples in the heap = 42

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