A state senate has 100 senators; 60 are democrats and 40 arerepublicans. Of the Democrats, 40 are liberal and 20 areconservative. Of the republicans, 30 are conservative and 10 areliberal Given that a senator is democrat, what is the probability thathe or she is a liberal?

We have to use simple set theory to find out the probability.

Answered: A state senate has 100 senators; 60 are…

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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A state senate has 100 senators; 60 are democrats and 40 are republicans. Of the Democrats, 40 are liberal and 20 are conservative. Of the republicans, 30 are conservative and 10 are liberal Given that a senator is democrat, what is the probability that he or she is a liberal?