Concept

What is the set of all events?

Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1

"By the way, “the set of all outcomes” is simply Ω, since an outcome is an element of Ω. But an event is a subset of Ω, not a single element. What, then, is “the set of all events?” If you think it through, you’ll realize that it’s P(Ω) (the power set of the sample space). Put another way, when defining an event, I can choose any subset of the possible outcomes, and so I can choose any set from P(Ω)."

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What is the set of all events? | Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk | Bifalgorithm | Bifalgorithm