Let $p$ be a prime number between 40 and 60. What is the probability that $p + 12$ is also a prime number? Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $p$ be a prime number between 40 and 60. What is the probability that $p + 12$ is also a prime number? 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{3}{5}
Let $p$ be a prime number between 40 and 60. What is the probability that $p + 12$ is also a prime number? Express your answer as a common fraction.
train