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      Question

      The probability of selecting a rotten egg randomly from

      a basket of 250 eggs is 0.2. What is the number of rotten eggs in the basket?
      A 60 Correct Answer Incorrect Answer
      B 65 Correct Answer Incorrect Answer
      C 50 Correct Answer Incorrect Answer
      D 68 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total number of eggs in the basket = n(S) = 250 Let E be the event of selecting a rotten egg from the basket. Number of outcomes favourable to E = n(E) P(E) = n(E)/n(S) 0.2 = n(E)/250 ⇒ n(E) = 250 × 0.2 ⇒ n(E) = 50 Therefore, the number of rotten eggs in the basket = 50

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