Aptitude

Topic: Probability

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers is less than 11?A. 5/6  B. 11/12   C. 1/6   D. 1/12   E. 2/3

Instead of finding the probability of this event directly, we will find the probability of the non-occurrence of this event and subtract it from 1 to get the required probability.Total possible combinations : 6*6 = 36Combination whose sum is 12 : (6,6)Combinations whose sum is 11 : (5,6), (6,5).Therefore, there are totally 3 occurrences out of 36 occurrences that satisfy the given condition.Probability whose sum of two numbers is greater than or equal to 11 = 3 / 36 = 1 / 12.Hence probability whose sum of two numbers is lesser than 11          = 1 - 1 / 12 = 11 / 12.

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