Multiline Formulas with Explicit Labels

Sample Space Closure

(i) 𝒮 𝒜 ; (ii) if E 𝒜 then E 𝒜 ; (iii) if E 1 , E 2 𝒜 then E 1 E 2 𝒜 .

Probability Axioms

( A . 1 ) If A then 0 P { A } 1 . ( 1 ) ( A . 2 ) P { 𝒮 } = 1 . ( 2 ) ( A . 3 ) If { E n , n 1 } is a sequence of disjoint events ( 3 ) then P { E 1 E n } = P { E 1 } + + P { E n }