Let R be the set of all binary relations on the set{1, 2, 3}. Suppose a relation is chosen from R atrandom. The probability that the chosen relationis reflexive (round off to 3 decimal places) is

Introduction :Given , R : set of all binary relations on the set {1,2,3}We have asked to find the…

Answered: Let R be the set of all binary…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...

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Let B = {1,2, 3, 4, 5}. A binary relation S on the set B is given by the digraph (1 Find the symmetric closure of the relation S ? Select one: O a. ={(1.2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.4).(3.5).(4.2).(4.3).(4.4).(5.1).(5.2).(5,3)}. O b. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2,4).(2.5).(3.3).(3,4).(3,5).(4,2).(4.3).(4,4).(5,1).(5,2).(5,5).(1,4), (1.3),(2.3).(3.2).(3.1).(4,1).(5,4)}. Oc. ={(1,1)(1,2).(1,5).(2.2).(2.4).(2.5).(3.3).(3,4).(4.2).(4,4).(5.3).(5,5)}. O d. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3,4).(3,5).(4.2).(4,3).(4,4).(5,1).(5.2).(5.5).(1,4), (1,3).(2.3).(3,1).(4,5).(4,1).(5,4)}. O e. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3.4).(3.5).(4,2).(4,3).(4,4).(5.1).(5.2).(5,3).(5,5), (1,4).(1.3).(2.3).(3.2).(3.1),(4,5).(4.1).(5,4)}.
In the Axiom Systems section of the Background chapter (1.6), a binary relation
help find the answer and the write it in latex code
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Let R be the set of all binary relations on the set {1, 2, 3}. Suppose a relation is chosen from R at random. The probability that the chosen relation is reflexive (round off to 3 decimal places) is