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Question
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 8?
Solution
The number of possible outcomes = 6 × 6 = 36
The outcomes favourable to the event 'the sum of the two numbers is 8' = E = {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
The number of outcomes favourable to E = n(E) = 5.
Hence, P(E) = `(n(E))/(n(S)) = 5/36`
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