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    Question

    The probability of selecting a rotten apple

    randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?
    A 162 Correct Answer Incorrect Answer
    B 160 Correct Answer Incorrect Answer
    C 165 Correct Answer Incorrect Answer
    D 168 Correct Answer Incorrect Answer

    Solution

    Total number of apples in the heap = n(S) = 900
    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)
    0.18 = n(E)/900
    ⇒ n(E) = 900 × 0.18
    ⇒ n(E) = 162
    Therefore, the number of rotten apples in the heap = 162

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