If three standard, six-faced dice are rolled, what is the probability that the sum of the three numbers rolled is 9? Express your answer as a common fraction.
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In how many ways can you make a 9 out of 3 dice? Well, there are many ways as follows:
3+4+2=9.......and so on. If you listed all possible combination that would sum up to 9, you will see that there are: 25 ways of summing up to 9. Therefore, the probability is:
25 / 6^3 =25 /216