Using the axioms of probability, prove the following: (a) If B, then P (A) P(B). (b)

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Using the axioms of probability, prove the following:
(a) If ⊂B, then P (A) ≤ P(B).
(b) P (A∪B) = P (A) + P (B) P(A∩ B). In particular, if A ∩ B = ∅, then P(A∪B) = P(A) + P(B).
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Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

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