Let A and B be events in a sample space for which it is known that
Question:
Let A and B be events in a sample space Ω for which it is known that P(A) ≥ a and P(B) ≥
b, where a and b are given real numbers.
(i) Show that P(AB) ≥ a + b − 1.
(ii) If a + b > 1, what do you conclude about the events A and B?
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Related Book For 
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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