Let U be a well defined universe; S be a well defined sample space. Let E= empty set.
Prove or disprove that Pr(E)=0
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In the axioms of probability there are at most three axioms.
If is the space then .
If then .
Using those two it is easy to show that
Last edited by mr fantastic; September 20th 2010 at 12:45 AM.
Reason: Moved from a thread created by a duplicate post.
Probability axioms - Wikipedia, the free encyclopedia : the second one.
note that probability zero doesn't mean the set is empty
For example, the cubs have zero chance of ever winning a world series
and yet they may in 10,000 years
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