# Non-Zero Probability [duplicate]

Possible Duplicate:
Zero probability and impossibility

I was recently told "...there is likely a non-zero probability for the combined occurrence of an author writing a story in one universe, the realization of that story in a separate universe, and possibly wormhole connection between these two universes".

Using this example, does non-zero probability imply something is impossible or possible?

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## marked as duplicate by Marvis, William, Asaf Karagila, Henning Makholm, t.b.Jun 27 '12 at 22:26

I have no idea what you are asking. –  copper.hat Jun 27 '12 at 1:42
What do you mean by "combined"? –  Qiaochu Yuan Jun 27 '12 at 1:46
I have the impression he might be asking the following: Let $(A_{i})_{i \in I}$ be a collection of events such that $P(A_{i}) = 0$ for every $i \in I$. Is it possible for $P(\cup_{i \in I}{A_{i}}) \neq 0$? In case it is possible, how do you explain the "paradox" that it is "impossible" for each $A_{i}$ to occur individually but it is possible for at least one of them to occur? (Is that so, Nicholas?) –  madprob Jun 27 '12 at 1:51
I can't parse (gramatically) the question. –  leonbloy Jun 27 '12 at 3:04