Question
Two fair dice are rolled simultaneously. The probability
of getting a sum of ______ on the faces of dice is ______. The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: A. 5, (1/9) B. 9, (1/9) C. 10, (1/12)Solution
A. 5, (1/9) Number of favourable outcomes = (1, 4), (4, 1), (2, 3), (3, 2) Total outcomes = 36 Therefore, the probability of getting a sum of 5 on the faces of dice is (4/36) = (1/9). B. 9, (1/9) Number of favourable outcomes = (3, 6), (6, 3), (4, 5), (5, 4) Total outcomes = 36 Therefore, the probability of getting a sum of 9 on the faces of dice is (4/36) = (1/9). C. 10, (1/12) Number of favourable outcomes = (4, 6), (6, 4), (5, 5) Total outcomes = 36 Therefore, the probability of getting a sum of 10 on the faces of dice is (3/36) = (1/12).
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