On two fair six-sided dice, what is the probability that the sum is 7?

• A. 1/6
• B. 5/36
• C. 6/36
• D. 7/36

Answer: (A)

The probability concept here is favorable outcomes over total outcomes. With two fair six-sided dice, there are 6 × 6 = 36 equally likely results.

To sum to 7, there are six possible pairs: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). That gives six favorable outcomes. So the probability is 6/36, which simplifies to 1/6. The value 6/36 expresses the same chance, just not simplified.

The other fractions would imply a different number of favorable outcomes (five or seven), which doesn’t match the six actual combinations that yield a sum of seven.