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There are a large number of books that address probability theory at various levels of depth. Most of the material presented here comes from Rozanov (1977) and Baldi (2007)

References
  1. Rozanov, Y. A. (1977). Probability theory (R. A. Silverman, Ed.; English, p. ix+148). Dover Publications, Inc., New York.
  2. Baldi, P. (©2007). Calcolo delle probabilità / Paolo Baldi. In Calcolo delle probabilità. McGraw-Hill.