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Three fair, six-sided dice A, B, and C are rolled.  Find the probability that roll C is the sum of roll A and roll B.

 May 5, 2020
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There are 15 cases in which the sum of A+B=C as follows:

 

112 , 123 , 134 , 145 , 156 , 213 , 224 , 235 , 246 , 314 , 325 , 336 , 415 , 426 , 516 , Total =  15

 

 

The probability is = 15 / 6^3  = 5 / 72

 May 5, 2020

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