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Question
Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is less than 6.
Solution
When two dice are rolled, total number of possible outcomes = 36
Favorable outcomes for the sum of numbers less than 6 i.e. 2, 3, 4 or 5 are:
{(1, 1),(1, 2),(1, 3),(1, 4),(2, 1),(2, 2),(2, 3),(3, 1),(3, 2),(4, 1)}
Number of favorable outcomes = 10
P(getting a sum of less than 6) = `10/36 = 5/18`
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