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Math Help - prove pr(E)=0

  1. #1
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    Exclamation prove pr(E)=0

    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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  2. #2
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    In the axioms of probability there are at most three axioms.
    If S is the space then P(S)=1.
    If A\cap B=\emptyset then P(A\cup B)=P(A)+P(B).
    Using those two it is easy to show that  P(\emptyset)=0
    Last edited by mr fantastic; September 20th 2010 at 12:45 AM. Reason: Moved from a thread created by a duplicate post.
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  3. #3
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  4. #4
    MHF Contributor matheagle's Avatar
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    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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