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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- Oct 14th 2010, 09:54 AMnikie1o2there 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 ? - Oct 17th 2010, 04:58 AMMoo
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.