Uvod u vjerojatnost i matematicku statistiku - vjezbe -
Uvod u vjerojatnost i matematicku statistiku - vjezbe -
Uvod u vjerojatnost i matematicku statistiku - vjezbe -
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4(a) A ⊆ B ⇒ P (A) P (B);(b) P (A ∪ B ∪ C) max{P (A), P (B), P (C)};(c) P (A ∩ B ∩ C) min{P (A), P (B), P (C)};(d) P (A ∪ B) = P (A) + P (B) − P (A ∩ B);(e) P (A c ) = 1 − P (A);(f) P (A ∩ B) P (A) + P (B) − 1.Propozicija 1.11. (Sylvestrova formula)Neka je (Ω, F, P ) vjerojatnosni prostor i A i ∈ F (i = 1, . . . , n). Tada vrijedi( ⋃ n )P A i = ∑ P (A i )− ∑P (A i ∩A j )+i=1 ini