Final answer:
The probability of not rolling double sixes when rolling two dice is 35/36.
Step-by-step explanation:
To calculate the probability of not rolling double sixes, we need to find the probability of rolling any other combination. When rolling two dice, there are 36 possible outcomes (6 outcomes for the first die multiplied by 6 outcomes for the second die). Out of those, there is only 1 outcome where both dice show a six, so the probability of rolling double sixes is 1/36. Therefore, the probability of not rolling double sixes is 1 - 1/36 = 35/36.