A die is rolled twice. What is the probability of getting a sum of 9?
Show Hint
- $\frac{1}{9}$
- $\frac{1}{12}$
- $\frac{1}{6}$
- $\frac{2}{9}$
The Correct Option is A
Solution and Explanation
- Step 1: Total outcomes. $6 \times 6 = 36$.
- Step 2: Favorable outcomes. Sum = 9: (3,6), (4,5), (5,4), (6,3). Count = 4.
- Step 3: Probability. $\frac{4}{36} = \frac{1}{9}$.
- Step 4: Verify. All pairs listed, matches option (1).
- Step 5: Conclusion. Option (1) $\frac{1}{9}$ is correct.
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