) If A and B are events, show that: i) P(An B') = P(A) – P(An B) - ii) P(AUB) = 1 - P(A' n B') iii) If A C B, then prove that P(A) ≤ P(B) ) Let P(A) = P(B) = and P(A n B) = 1/10 Find the following. i) P(AUB) ii) P(Bn A') iii) P(A' U B')
) If A and B are events, show that: i) P(An B') = P(A) – P(An B) - ii) P(AUB) = 1 - P(A' n B') iii) If A C B, then prove that P(A) ≤ P(B) ) Let P(A) = P(B) = and P(A n B) = 1/10 Find the following. i) P(AUB) ii) P(Bn A') iii) P(A' U B')
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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Transcribed Image Text:a) If A and B are events, show that:
i) P(An B') = P(A) - P(An B)
ii) P(AUB) = 1 - P(A' n B')
iii) If A C B, then prove that P(A) ≤ P(B)
b) Let P(A) = P(B) = and P(A n B) = 1/10 Find the following.
i) P(AUB)
ii) P(B n A')
iii) P(A' U B')
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