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

You’re mish mashing a lot of stuff here.

So let’s break this down:

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

This essentially a meaningless statement. You don’t “add infinity” to anything.

>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.

Without going down too much of a tangent, all three of those infinites (the number of heads, the number of tails, and the total number of tosses) are the same size, based on how we measure the size of such infinites.

>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.

Simplistically, yes. Any outcome that has a non-zero chance of occurring is guaranteed to occur over an infinite number of trials (or, stated another way, the odds of it happening increases to one as the number of trials increases to infinity). So long as it always has a non-zero chance of occurring, it will continue to occur, perhaps an infinite number of times.

>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.

No. If it’s possible then it’s not impossible and vice versa. Infinite doesn’t change this.

>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.

From a mathematical standpoint it doesn’t matter what the event is. If it’s always possible, then it will happen an infinite number of times over and infinite number of trials. If it’s always impossible then it will never happen.

As far as the laws of physics, it’s debatable whether anything that is “infinite” can exist physically though it’s speculated that the universe might be infinite in its spatial dimensions.

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