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.
There are : 41 | 43 | 47 | 53 | 59 (5 primes) Between 40 and 60.
41 + 12 =53 is a prime
43 + 12 =55 Not a prime
47 + 12 =59 is a prime
53 + 12 =65 Not a prime
59 + 12 =71 is a prime
Therefore, the probability is: 3/5