The chance of throwing sum of $3$ or $5$ or $11$ with a pair of die is
- $ \displaystyle \frac{2}{9} $
- $ \displaystyle \frac{5}{9} $
- $ \displaystyle \frac{1}{9} $
- $ \displaystyle \frac{5}{36} $
Reveal answer
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A
Correct answer
Explanation
Total outcomes for two dice = 36. Sum of 3: (1,2), (2,1) = 2 outcomes. Sum of 5: (1,4), (2,3), (3,2), (4,1) = 4 outcomes. Sum of 11: (5,6), (6,5) = 2 outcomes. Total favorable = 2 + 4 + 2 = 8. Probability = 8/36 = 2/9.
AI explanation
When two dice are thrown, the total number of outcomes is 36. The combinations for a sum of 3 are (1, 2) and (2, 1), for a sum of 5 are (1, 4), (2, 3), (3, 2) and (4, 1), and for a sum of 11 are (5, 6) and (6, 5), resulting in 8 favorable outcomes. The probability is 8 divided by 36, which simplifies to 2 divided by 9.