Final answer:
The probability of not rolling a 1 or a 6 on either die is 4/9.
Step-by-step explanation:
To find the probability of not rolling a 1 or a 6 on either die, we need to find the probability of rolling a number between 2 and 5 on each die.
The probability of rolling a number between 2 and 5 on one die is 4/6 or 2/3. Since we are rolling two dice, we multiply the probabilities together: (2/3) * (2/3) = 4/9. Therefore, the probability of not rolling a 1 or a 6 on either die is 4/9.