When rolling a pair of dice six ​times, what is the probability of rolling a total of five exactly

Two dice have 36 combinations, 4 of which total 5, so the odds of rolling 5 in one roll are 4/36 or 1/9.

The odds of not rolling a five are 32/36 or 8/9, and in five rolls would be (8/9)^5.

Total = (1/9) x (8/9)^5