Two fair dice are rolled. What is the probability that the sum of the numbers is either 7 or 11?

Question

Two fair dice are rolled. What is the probability that the sum of the numbers is either 7 or 11?

1. A. 1/5
2. B. 5/3
3. C. 3/7
4. D. 2/9 (Correct answer)

Correct Answer

Option D — 2/9

Detailed Solution & Explanation

The correct answer is 2/9.

Key Points

• Sum 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) = 6 ways.
• Sum 11: (5,6),(6,5) = 2 ways. Total = 8/36 = 2/9.