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      Question

      The probability of selecting a rotten apple

      randomly from a heap of 700 apples is 0.36. What is the number of rotten apples in the heap?
      A 208 Correct Answer Incorrect Answer
      B 278 Correct Answer Incorrect Answer
      C 264 Correct Answer Incorrect Answer
      D 252 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total number of apples in the heap = n(S) = 700
      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)
      0.36 = n(E)/700
      ⇒ n(E) = 700 × 0.36
      ⇒ n(E) = 252
      Therefore, the number of rotten apples in the heap = 208

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