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2 unbiased dices D1 and D2 are rolled and the number appearing on the uppermost face is noted as S1 and S2 respectively. What is the probability that (S1 + S2) > 10?

2 unbiased dices D1 and D2 are rolled and the number appearing on the uppermost face is noted as S1 and S2 respectively. What is the probability that (S1 + S2) > 10? Correct Answer 1/12

Given:

Two unbiased dice are rolled D1 and D2

Concept:

Probability = Number of desire event / Number of total event

Calculation:

⇒ Total number of events = 62 = 36

⇒ The sum on the top of the faces is greater than 10 will be possible in three cases (5, 6), (6, 5) and (6, 6)

⇒ Required probability = 3/36 = 1/12

∴ The probability that the sum on the top of the faces is greater than 10 is 1/12.

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