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Two dice thrown: probability of a condition on the sum

This type of question, asked 3 times: 15 May 2023 S2, 13 May 2024 S2, 19 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    15 May 2023 S2

    148
    If two fair dice are rolled, then the probability that the sum of the numbers on the upper faces is at least 9, is

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  2. Question 2

    13 May 2024 S2

    137
    Two dice are rolled. If both dice have six faces numbered 1,2,3,5,7,111,2,3,5,7,11, then the probability that the sum of the numbers on upper most face is prime is

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  3. Question 3

    19 May 2026 S2

    100
    Two fair dice are thrown. The probability that the sum of the scores is 77 such that the number on the second die is greater than that on the first die is ...

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