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      Question

      The probability of selecting a rotten apple

      randomly from a heap of 800 apples is 0.26. 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 360 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total number of apples in the heap = n(S) = 800
      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)
      0.26 = n(E)/800
      ⇒ n(E) = 800 × 0.26
      ⇒ n(E) = 208
      Therefore, the number of rotten apples in the heap = 208

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