Finite Probability Spaces Lecture Notes
نویسنده
چکیده
ω∈A Pr(ω). In particular, for atomic events we have Pr({ω}) = Pr(ω); and Pr(∅) = 0, Pr(Ω) = 1. The trivial events are those with probability 0 or 1, i. e. ∅ and Ω. The uniform distribution over the sample space Ω is defined by setting Pr(ω) = 1/|Ω| for every ω ∈ Ω. With this distribution, we shall speak of the uniform probability space over Ω. In a uniform space, calculation of probabilities amounts to counting: Pr(A) = |A|/|Ω|.
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