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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.

 

I need help!!!! I don't know what to do! This means a lot to me!!!!!

 Mar 20, 2020
 #1
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In how many ways can you make a 9 out of 3 dice? Well, there are many ways as follows:

 

6+2+1=9

5+3+1=9

4+4+1=9

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

 Mar 20, 2020
 #2
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By the way, here are ALL the combinations that sum up to 9 for 3 dice:

 

126  135  144  153  162  216  225  234  243  252  261  315  324  333  342  351  414  423  432  441  513  522  531  612  621  Total =  25

Guest Mar 20, 2020

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