Multiple choice

If two dice are thrown then what is the probabilitythat the sum of the faces of dice are prime?

  1. 5/12

  2. 1/2

  3. 1/3

  4. 7/12

  5. None of these
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A Correct answer
Explanation

Total outcomes when throwing two dice = 36. Sums that are prime: 2 (1,1), 3 (1,2; 2,1), 5 (1,4; 4,1; 2,3; 3,2), 7 (1,6; 6,1; 2,5; 5,2; 3,4; 4,3), 11 (5,6; 6,5). Total prime sums = 1 + 2 + 4 + 6 + 2 = 15. Probability = 15/36 = 5/12.

AI explanation

When two dice are thrown, the total number of possible outcomes is 36, as each die has 6 faces. The prime sums possible are 2, 3, 5, 7, and 11, which can be formed in 1, 2, 4, 6, and 2 ways respectively, resulting in 15 favorable outcomes. The probability is therefore 15 divided by 36, which simplifies to 5/12.

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