Let (N, E, P) be a finite probability space with sample space 52 = {a, b, c, d, e, and the event space E consisting of all possible subsets of S. Given P(a) = 0.2, which of the following statements is not necessarily true.

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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Let (N, E, P) be a finite probability space with sample space = {a,b, c, d, e}, and the event
space E consisting of all possible subsets of . Given P(a) = 0.2, which of the following
statements is not necessarily true.
-
a and b are mutually exclusive
P(a Ub) = P(a) + P(b)
All of the statements are necessarily true.
ⒸP(b) / 0
ⒸP(b) ≤0.8
Transcribed Image Text:Let (N, E, P) be a finite probability space with sample space = {a,b, c, d, e}, and the event space E consisting of all possible subsets of . Given P(a) = 0.2, which of the following statements is not necessarily true. - a and b are mutually exclusive P(a Ub) = P(a) + P(b) All of the statements are necessarily true. ⒸP(b) / 0 ⒸP(b) ≤0.8
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