what is the probability of getting a sum 9 from two throws of a dice?

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The probability of getting a sum of 9 from two throws of a die is the number of favorable outcomes (combinations that add up to 9) divided by the total number of possible outcomes when throwing two dice. The favorable outcomes for sum 9 are: (3,6), (4,5), (5,4), and (6,3), which total 4 outcomes. Since each die has 6 faces, the total number of possible outcomes when throwing two dice is 6×6=366\times 6=366×6=36. Thus, the probability is:

436=19\frac{4}{36}=\frac{1}{9}364​=91​

So, the probability of getting a sum of 9 from two throws of a dice is 19\frac{1}{9}91​ or about 0.1111 (11.11%).