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Let ((X, S, P)) be a classical probability space and (xi: X to R^{1}) be a random variable in the sense of classical probability theory.
(x(E^{C}) = 1_{Omega} - x(E)) for every (E in B(Re )); (x( bigcup_{n = 1}^{infty} E_{n}) = bigvee_{n = 1}^{infty} x(E_{n})) for any sequence ({ E_{n} }_{n = 1}^{infty} subset B(Re )), Let ((Omega, S, P)) be a classical probability space, and (xi: Omega to Re) be a random variable in the sense of classical probability theory.
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