Four standard six-sided dice are to be rolled. What is the probability that the product of the numbers on the top faces will be prime? Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Four standard six-sided dice are to be rolled. What is the probability that the product of the numbers on the top faces will be prime? Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{1}{108}
Four standard six-sided dice are to be rolled. What is the probability that the product of the numbers on the top faces will be prime? Express your answer as a common fraction.
train