What is the probability of not rolling a sum of 7 three times in a row?

Possible outcomes for one cube = 6 .

Possible outcomes for 2 cubes = 6 x 6 = 36 .

Ways to roll a sum of 7 = 6 ways,

1, 6 . . . 2, 5 . . . 3, 4

6, 1 . . . 5, 2 . . . 4, 3

Probability of rolling a 7 on the first roll = 6/36 = 1/6 .

Probability of rolling a 7 on the second roll = 6/36 = 1/6 .

Probability of rolling a 7 on the third roll = 6/36 = 1/6 .

Probability of rolling a sum of 7 three times in a row = (1/6 x 1/6 x 1/6) = (1/6)3 = 1/216 = 0.00463 = 0.463%

Probability of not rolling a sum of 7 three times in a row = 1 - (probability of doing it) = 99.537%