Multiple choice

Two dice are rolled. The probability that the total score is a prime number

  1. 1/6

  2. 5/12

  3. 1/2

  4. 7/9

  5. 3/6

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total outcomes = 36. Prime sums are 2, 3, 5, 7, 11. Counts: 2(1), 3(2), 5(4), 7(6), 11(2). Total = 1+2+4+6+2 = 15. Probability = 15/36 = 5/12.

AI explanation

When two dice are rolled, the possible prime sums are 2, 3, 5, 7 and 11. The number of outcomes for these sums are 1, 2, 4, 6 and 2 respectively, adding up to 15 favorable outcomes. The probability is 15 out of 36 total outcomes, which simplifies to 5/12.