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      Question

      Two unbiased dice are rolled. What is the probability

      that the first die shows a composite number and the second die shows a prime number?
      A 1/2 Correct Answer Incorrect Answer
      B 1/3 Correct Answer Incorrect Answer
      C 1/4 Correct Answer Incorrect Answer
      D 1/5 Correct Answer Incorrect Answer
      E 1/6 Correct Answer Incorrect Answer

      Solution

      Sample space for the first die = {4, 6}
      Sample space for the second die = {2, 3, 5}

      Required probability = 2/6 × 3/6 = 1/6

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