2011-11-21, 04:15 AM
Not 100% sure if this is proof but here it goes,
Given a random and infinite string of numbers N. Let's divide N into an infinite number of 9-digit numbers, let's call them Xi, where i from from 1 to infinite.
We now have an infinite number of 9-digit number strings that are all random. Since each string is random, and we have an infinite number of them we have a probability of 1 of at least one being 123456789. As a matter of fact we have an infinite number of 123456789 strings, but that's another story.
Given a random and infinite string of numbers N. Let's divide N into an infinite number of 9-digit numbers, let's call them Xi, where i from from 1 to infinite.
We now have an infinite number of 9-digit number strings that are all random. Since each string is random, and we have an infinite number of them we have a probability of 1 of at least one being 123456789. As a matter of fact we have an infinite number of 123456789 strings, but that's another story.