Multiple choice

If a pair of dice is thrown, then what is the probability of getting a sum which is a prime number greater than 3?

  1. 1 12

  2. 1 3

  3. 11 36

  4. 13 36

  5. 2 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Prime sums greater than 3 are 5, 7, and 11. These occur in 4, 6, and 2 ways respectively, giving 12 favorable outcomes out of 36, or 1/3.

AI explanation

The prime numbers greater than 3 that can be rolled as a sum on two dice are 5, 7, and 11. The number of combinations to roll these sums is 4 for 5, 6 for 7, and 2 for 11, totaling 12 favorable outcomes out of 36 possible outcomes. The probability is therefore 12/36, which simplifies to 1/3.

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