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.
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