... P(AnC) - P(AnBnAnC) =P(Ac\B) + P{Ac\C) - P(Ac\Bc\C) Thus P{AuBuC)= P(A\jD) = P(A) + P(D) - P(AnD) = P(A) + P(B)+ P(C) - P(BnC) - [P(AnB) + P(AnC) - P(AnBnC)] = P(A) + P(B) + P(C) - P(BnC) - P{Ac\B) ... intersection,respectively, of a sequence of sets. Definition: Anonempty class cA of subsets of U is called analgebra (o-algebra) of sets if: (i) the complement of any set in cA belongs to cA; and (ii) the union of any ... (o, 6) of real numbers, and vice versa. 2 -3 -2 -1 2 О з • -1 -2 Example 1.13: Let A = {1,2,3} and В ={a,b}. Then AxBr {(l,a), A,6), B,o), B,6), C,o),C,6)}CHAP. 1] SET THEORY The concept of productset...