The third postulate of probability is sometimes referred to as the special addi- tion rule; it is special in the sense that events A₁, A2, A3,..., must all be mutually exclusive. For any two events A and B, there exists the general addition rule, or the inclusion-exclusion principle: THEOREM 2.7. If A and B are any two events in a sample space S, then P(AUB) = P(A) + P(B) - P(ANB) 2.9. Use the formula of Theorem 2.7 to show that (a) P(ANB) ≤ P(A) + P(B); (b) P(ANB) = P(A) + P(B)-1.

The third postulate of probability is sometimes referred to as the special addi- tion rule; it is special in the sense that events A₁, A2, A3,..., must all be mutually exclusive. For any two events A and B, there exists the general addition rule, or the inclusion-exclusion principle: THEOREM 2.7. If A and B are any two events in a sample space S, then P(AUB) = P(A) + P(B) - P(ANB) 2.9. Use the formula of Theorem 2.7 to show that (a) P(ANB) ≤ P(A) + P(B); (b) P(ANB) = P(A) + P(B)-1.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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