This argument doesn't calculate the probability of an individual number, it sums the probability over every number. This kind of thing is used a lot in number

This argument doesn't calculate the probability of an individual number, it sums the probability over every number. This kind of thing is used a lot in number theory to figure out the plausibility of some theorem. A lot of open number theory problems are of the form "Prove [unlikely event] never happens." Edit: Removed braindead argument.