Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{5}{54}
Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?
train