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There are a number of asymptotic distributions developed by various mathematicians. A simple one to sues is that, given an integer N, the probability that a random positive integer which is not greater than N is prime is very close to 1 / ln(N) where ln(N) is the natural logarithm of N..

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That depends how large the numbers are that you choose from. If you choose a random number close to "n", the probability that "n" is a Prime number is approximately 1 / ln(n).

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Q: What is the probability of selecting a prime number?
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