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19 September, 15:20

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8? A. 1/9. B. 2/9. C. 5/18. D. 5/432

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  1. 19 September, 16:50
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    There are 6 * 6 = 36 possible dice combinations.

    For the sum to be a 4, there are 3 possible rolls: 1,3 3,1 2,2

    So the probability the sum is 4 is 3 * 1/36 = 3/36

    For the sum to be an 8, there are 7 possible rolls: 2,6 6,2 3,5 5,3 4,4

    So the probability the sum is 8 is 7*1/36 = 7/36

    So the probability the sum is 8 or 4 is:

    3/36 + 7/36 = 10/36 = 5/18 = 0.278 (3 s. f.)
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