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5: 1/9 9: 1/9 First, we can take a look at all of the 36 possible outcomes of rolling two dice. Remember, the two results are independent. Possibility of 5 We can check the table to see which results sum to 5. (4,1) (1,4) (3,2) (2,3) We could do this even without the table because of an understanding of the numbers that sum to 5. There are 4 possibilities that sum to 5 out of the total 36 possibilities. The probability is 4/36 or 1/9. Possibility of 9 We can apply the same principles as before to this problem. Checking the table, we see that the following sum to 9. (6,3) (3,6) (5,4) (4,5) There are other combination that sum to 9, such as (7,2), but they exceed the limits of the dice. Therefore, we again have 4 possibilities and a 1/9 probability.

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