Question:
Two fair dice are rolled together. The probability that the sum of the numbers shown is 9 is
Two fair dice are rolled together. The probability that the sum of the numbers shown is 9 is
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Count ordered pairs that total 9 out of 36 equally likely outcomes.
Updated On: Jul 8, 2026
- 1/6
- 1/9
- 1/12
- 1/8
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The Correct Option is B
Solution and Explanation
Step 1: Total outcomes.
Two dice give \(6\times6=36\) equally likely outcomes.
Step 2: Favourable outcomes for a sum of 9.
\((3,6),(4,5),(5,4),(6,3)\), which is 4 outcomes.
Step 3: Probability.
\(\dfrac{4}{36}=\dfrac{1}{9}\).
\[\boxed{\dfrac{1}{9}}\]
Two dice give \(6\times6=36\) equally likely outcomes.
Step 2: Favourable outcomes for a sum of 9.
\((3,6),(4,5),(5,4),(6,3)\), which is 4 outcomes.
Step 3: Probability.
\(\dfrac{4}{36}=\dfrac{1}{9}\).
\[\boxed{\dfrac{1}{9}}\]
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