Let p be a prime number between 40 and 60. What is the probability that \(p + 2\) is also a prime number? Express your answer as a common fraction.
Let p be a prime number between 40 and 60. What is the probability that p+2 is also a prime number? Express your answer as a common fraction.
Primes between
40 and 60 p + 2 Is p+2 prime
41 43 Yes
43 45 No
47 49 No
53 55 No
59 61 Yes
Five primes p, two of p+2 are also prime The fraction is 2/5.