Question:
A die is rolled twice. What is the probability that the sum of the numbers on the two faces is 5?
A die is rolled twice. What is the probability that the sum of the numbers on the two faces is 5?
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List all combinations that meet the condition. Always consider total outcomes when rolling dice.
Updated On: Aug 7, 2025
- $\dfrac{3}{13}$
- $\dfrac{4}{13}$
- $\dfrac{6}{13}$
- $\dfrac{1}{9}$
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The Correct Option is D
Solution and Explanation
When a die is rolled twice, total outcomes = \(6 \times 6 = 36\)
Favorable outcomes where the sum is 5:
\[
(1,4),\ (2,3),\ (3,2),\ (4,1)
\Rightarrow 4 \text{ outcomes}
\]
\[
\text{Probability} = \frac{4}{36} = \frac{1}{9}
\]
\fbox{Final Answer: (D) $\dfrac{1}{9}$}
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