Elementary Probability Theory

  • Albert N. Shiryaev
Part of the Problem Books in Mathematics book series (PBM)


Verify the following relations involving the operations ∩ (intersection) and ∪(union): AB = BA, AB = BA (commutativity), A ∪(BC) = (AB) ∪C, A ∩ (BC) = (AB) ∩ C (associativity),A ∩ (BC) = (AB) ∪(AC), A ∪(BC) = (AB) ∩ (AC) (distributivity), AA = A, AA = A (idempotent property of ∩ and ∪).


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Albert N. Shiryaev
    • 1
    • 2
  1. 1.Department of Probability TheoryM.V. Lomonosov Moscow State UniveristyMoscowRussia
  2. 2.V.A. Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia

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