two unbiased dice are thrown at random .find the probability the sum is less than 9?
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Favourable outcomes = (1,1) , (2,1), (3,1) (4,1), (5,1)
(6,1), (1,2), (2,2) (3,2) (4,2) (5,2),(6,2),(1,3),(2,3),(3,3)(4,3),(5,3),(1,4),(2,4),(3,4),(4,4),(1,5),(2,5),(3,5),(1,6),(2,6)
therefore no of favorable outcomes = 26
Total possible outcomes = 36 (since 2 dice with 6 surfaces each are thrown)
therefore, probability = 26/36
(6,1), (1,2), (2,2) (3,2) (4,2) (5,2),(6,2),(1,3),(2,3),(3,3)(4,3),(5,3),(1,4),(2,4),(3,4),(4,4),(1,5),(2,5),(3,5),(1,6),(2,6)
therefore no of favorable outcomes = 26
Total possible outcomes = 36 (since 2 dice with 6 surfaces each are thrown)
therefore, probability = 26/36
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