### Instruction: Adam rolled two standard six-sided dice once.  What is the probability that he did not roll a prime number on either die? Express your answer as a common fraction.### Response: To answer this question, I need to recall what the prime numbers are between 1 and 6, since those are the possible outcomes on each die.
The prime numbers are 2, 3, and 5, so the non-prime numbers are 1, 4, and 6.
The probability of rolling a non-prime number on one die is 3/6, or 1/2, since there are three non-prime numbers out of six possible outcomes.
The probability of rolling a non-prime number on both dice is the product of the probabilities of rolling a non-prime number on each die, since the dice are independent.
So the probability of rolling a non-prime number on both dice is 1/2 times 1/2, which is 1/4.