Why does an infinite universe imply that everything that can happen will happen? Why can’t an infinite universe be boring and uneventful?
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Let’s say you have some event with probability *p*, where *p* is the percentage chance this event might happen in a given second.
The odds of it not happening in a given second are (1 – p).
The odds of it not happening for two seconds in a row are (1 – p)^(2)
For three seconds it would be (1 – p)^(3)
For *n* seconds it is (1 – p)^(n)
Discounting impossibilities (p = 0) and certainties (p = 1) then p is between 0 and 1 (exclusive) and therefore (1 – p) is also between o and 1 (exclusive). As n gets larger and larger (1 – p) gets smaller and smaller. The limit of (1 – p) as n approaches infinity is 0.
This means the odds of this event never happening are 0 which means the odds of it happening at least once over all of infinity is 1.
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