A fair six-sided die is rolled twice. What is the probability that the sum of the two numbers rolled is at least 10?
Show the answer and explanation
Correct answer
A. 1/6
Principle or equation
In a classical probability model, the probability of an event is the number of favorable outcomes divided by the total number of equally likely outcomes. For two dice, there are 6 × 6 = 36 equally likely outcomes.
Why this answer is correct
Favorable outcomes (sum ≥ 10): (4,6), (5,5), (6,4), (5,6), (6,5), (6,6) → 6 outcomes. Probability = 6/36 = 1/6.
Example
For sum = 7, favorable outcomes are 6, so probability = 6/36 = 1/6.
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