Statistics Graduate Level Quiz
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PROBABILITY FOUNDATIONS
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Let Ω\Omega be uncountable, and define C\mathcal C to be the collection of all subsets of Ω\Omega that are either countable or have countable complement. For E∈CE\in\mathcal C, define P(E)=0P(E)=0 if EE is countable and P(E)=1P(E)=1 if EcE^c is countable. Which conclusion is correct?
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