User blog comment:MachineGunSuper/Breaking the odds really hardly?/@comment-37129238-20181008002102

PsiCubed2 is right. It's completely impossible to come up with a function such as you describe.

Probability is concerned with finite values, either a finite number of choices or a finite range to pick a number. If you involve infinity then things quickly don't make sense because probability isn't supposed to describe infinity, just finity.

You cannot cheat mathematics, (though you can give it a good run for it's money).