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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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