Question 378733
So n is not from 1 to 500 inclusive now?

The problem is ill-posed.  You have to limit the population set to a finite set, just like what you did in your first problem post 378532, from 1 to 500.  Let me demonstrate:  If n is any positive integer of the form n = 2p, where p is a prime not equal to 2,3,or 5, then exactly GCF(60,n) = 2.  The probability would then be equal to  (number of all positive primes not equal to 2,3,5)/(number of all positive integers). This ratio will not have an answer, and we have already restricted ourselves to the domain of the positive integers!