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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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