what is the probability of any arbitrary event in infinity? I think it should be certain, or otherwise, we didn’t reach infinity yet (by definition)

Question

what is the probability of any arbitrary event in infinity? I think it should be certain, or otherwise, we didn’t reach infinity yet (by definition)

In: Mathematics

Answer 1

I think this is an interesting question and I’m curious what others say.

I would posit that all events won’t happen. Let’s consider a game of heads and tails. You can imagine all finite sequences (an “event”) should occur (such as 1000 tails in a row). But what are the odds of infinite tails? That’s a possible permutation but does not seem guaranteed to occur.