In a single throw of dice,what is the probability of getting a sum of 9?
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Solution
When a die is thrown the outcome can be any of the numbers from 1 to 6. If two dice are thrown the set of outcomes that ensure the sum is 9 is {(3, 6), (6,3), (4, 5), (5, 4)}. The total number of possible outcomes is 6*6 = 36
This gives the required probability as 4/36 = 1/9
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.