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Math Help - there exists an event such that Pr(E) = 1/2

  1. #1
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    Wink there exists an event such that Pr(E) = 1/2

    Let U=R. Let S be a well defined sample space. it is the case that there exists an event E such that Pr(E)=1/2

    Do i just make up a sample space and event that satisfies the Pr(E) = 1/2 ?
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  2. #2
    Moo
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    Hello,

    What are U and R ?
    What is the exact question : "is it the case that there exists an event E such that Pr(E)=1/2 ?" or is it a statement that you need to prove ?
    Because you can consider a random variable X such that P(X=0)=1, that would make a counterexample.
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