Ok my language wasn't the best. I can't know your understanding of infinity is flawed, it just seems that it is. Infinity doesn't mean everything is possible. From a mathematical pov, zero multiplied by infinity is zero. So something with a zero percent probability of happening will happen zero times in a sample of infinity.

Infinity is a strange thing. There's more than one kind of infinity, and some are bigger than others. I won't try and explain that to you, I'll just link you to someone who can explain it...

https://www.youtube.com/watch?v=elvOZm0d4H0