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Mathematics

Two dice are rolled together. What is the probability of getting a total of atleast 11 ?

Probability

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Answer

Total number of possible outcomes = 36 (i.e., (1, 1), (1, 2), (1, 3), (1, 4), ……………..(6, 4), (6, 5), (6, 6))

Number of favourable outcomes (Getting a total of at least 11) = 3 ((5, 6), (6, 5), (6, 6))

P(Getting a total of at least 11) = Number of favourable outcomesTotal number of possible outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}

= 336\dfrac{3}{36}

= 112\dfrac{1}{12}

Hence, the probability of getting a total of at least 11 is 112\dfrac{1}{12}.

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