Two fair dice are thrown. What is the probability that the sum of the numbers is ?
Answer and explanation
Correct answer: C. 1/9
- Step 1: Throwing two standard dice produces possible outcomes.
- Step 2: Count the pairs that add up to : (3, 6), (4, 5), (5, 4), (6, 3) ( outcomes).
- Step 3: Divide favorable count by sample space size: .
Answer
1/9.
Why not the others: 1/36 assumes only a single outcome yields the required dice sum; 1/3 overestimates the probability (); 5/36 is the probability of obtaining a sum of or ().
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