8. We know that P₁ = P2 on B if P₁ = P₂ on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 = (a, b, c, d) with 1 P₁((a)) = P₁({d})= P2({b)) = P2({c)) = = and
8. We know that P₁ = P2 on B if P₁ = P₂ on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 = (a, b, c, d) with 1 P₁((a)) = P₁({d})= P2({b)) = P2({c)) = = and
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:8. We know that P₁ = P₂ on B if P₁ = P2 on C, provided that C generates B
and is a 7-system. Show this last property cannot be omitted. For example,
consider = (a, b, c, d) with
P₁({a})= P₁({d})= P2({b}) = P2({c});
16
and
P₁({b}) = P₁({c}) = P2({a}) = P2({d}) = 3·
C= [(a, b), (d, c), {a, c), (b, d)).
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