SOLUTION: When two dice are rolled find the probability of getting: 21. A sum greater than 8 22. A sum that is divisible by 3

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Question 1119284: When two dice are rolled find the probability of getting:
21. A sum greater than 8




22. A sum that is divisible by 3

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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When two dice are rolled find the probability of getting:


21.   A sum greater than 8. 

     Of the total  6*6 = 36 possible pairs-outcomes (D1,D2), there are 4 + 3 + 2 + 1 = 10 favorable pairs:


            9 = 3+6 = 4+5 = 5+4 = 6+3    (4 pairs),

           10 = 4+6 = 5+5 = 6+4          (3 pairs),

           11 = 5+6 = 6+5                (2 pairs),

           12 = 6+6                      (1 pair).


      Therefore, the probability under the question is  10%2F36 = 5%2F18 = 0.2778 = 27.78%.

22.   A sum that is divisible by 3. 

     Do it on your own by the same way.