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ThmDex – An index of mathematical definitions, results, and conjectures.
Conditional probability of the empty event
Formulation 0
Let P=(Ω,F,P) be a D1159: Probability space such that
(i) GF is a D470: Subsigma-algebra of F on Ω
Then P(G)a.s.=0
Proofs
Proof 0
Let P=(Ω,F,P) be a D1159: Probability space such that
(i) GF is a D470: Subsigma-algebra of F on Ω
This result is a particular case of R4339: Conditional probability of almost surely false event.