42 a. (a) For any two events A and B, show that P (A) + P(B)-1 P(B) P (B), show that P (B/A) (c) If A, B and C are independent events, show that P(A UBUC) = 1- {1 - P(A)} [1 - P (B)] {1 - P(C)}31 P (A/B) 2 (b) If P(A) > P(A/B) >

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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42a.
(a) For any two events A and B, show that
P (A) + P(B) - 1
P(B)
P (B), show that
P (B/A)
(c) If A, B and C are independent events, show that
P(A UBUC) = 1 - {1 – P(A)} [1 - P (B)] {1- P(C)}31
P (A/B) 2
(b) If P(A) >
P(A/B) >
Transcribed Image Text:42a. (a) For any two events A and B, show that P (A) + P(B) - 1 P(B) P (B), show that P (B/A) (c) If A, B and C are independent events, show that P(A UBUC) = 1 - {1 – P(A)} [1 - P (B)] {1- P(C)}31 P (A/B) 2 (b) If P(A) > P(A/B) >
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