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      Question

      span >The probability of selecting a rotten apple randomly from a heap of 1000 apples is 0.16. What is the number of rotten apples in the heap?

      A 184 Correct Answer Incorrect Answer
      B 175 Correct Answer Incorrect Answer
      C 165 Correct Answer Incorrect Answer
      D 160 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total number of apples in the heap = n(S) = 1000
      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)
      0.16 = n(E)/1000
      ⇒ n(E) = 1000 × 0.16
      ⇒ n(E) = 160
      Therefore, the number of rotten apples in the heap = 84

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