eli5: does adding infinite to any probability make all outcomes infinite?

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Using something as simple as a coin flip it’s a 50/50 chance that’s it’s either heads or tails if I throw the coin an infinite amount of times both heads and tails will be thrown an infinite amount of times just less infinite than the number of times the coin is thrown.

Let’s say as I throw the coin and a bird fly’s past and grabs the coin out the air the odds of that happening are low but because it’s possible would that automatically make that outcome infinite.

Could infinite also make the impossible, possible like if I throw the coin and try to work out the odds of it turning into a gold bar.

If the universe is infinite there could be a chemical that can teleport and turn the coin into a gold bar the odds would be astronomically low but still possible through the power of infinite or would this break the laws of physics or does the idea of infinite break the laws of physics.

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Anonymous 0 Comments

When you repeat an experiment “infinitely many times” (which is not really a meaningful statement, it would be better so say “arbitrarily often”), then yes, the probability of any outcome, no matter how unlikely, occurring will tend to 1 (i.e. 100%). That does not, however, mean that the event is guaranteed to occur. No matter how many times you flip a coin, there’s always a chance (even if mathematically 0) it will never land on heads, even though the mathematical probability tends to 1 rather quickly.

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