Hw1 Questions from Mathematical statistics and data analysis by John. A. Rice Chapter 1

6. Verify the following extension of the addition rule (a) by an appropriate Venn diagram and (b) by a formal argument using the axioms of probability and the propositions in this chapter. P(AUBUC) = P(A) + P(B) + P(C) - P(An B) -P(AnC) - P(BAC) + P(AnBnC)