Probability · Class 11 · CBSE · Science Mathematics
Two fair dice are thrown together. What is the probability that the sum is at least 10 or both dice show the same number?
Practice question from Probability (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-A59578
Two fair dice are thrown together. What is the probability that the sum is at least 10 or both dice show the same number?
- A.5/18Correct answer
- B.1/3
- C.7/18
- D.11/36
Solution
Let be the event that the sum is at least 10 and the event that both dice show the same number. There are 6 outcomes in , 6 in , and 2 in , namely and . Therefore, .
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