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Question
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: less than 12
Solution
Total outcomes = 36 i.e.
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
Favourable outcomes = 35 [Except (6,6)]
P(E) = `35/36`
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