One hundred voters were asked for their preference in the upcoming Presidential elections. Their response to three questions are summarized below.   Question Number Saying Yes Do you like A? 65 Do you like B? 55 Do you like both? 25 What is the probability that someone likes at most one? What is the probability that someone likes exactly one given that they like at least one? Of those who like at least one, what proportion like both? Of those who do not like A, what proportion likes 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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One hundred voters were asked for their preference in the upcoming Presidential elections. Their response to three questions are summarized below.

 

Question

Number Saying Yes

Do you like A?

65

Do you like B?

55

Do you like both?

25

  1. What is the probability that someone likes at most one?
  2. What is the probability that someone likes exactly one given that they like at least one?
  3. Of those who like at least one, what proportion like both?
  4. Of those who do not like A, what proportion likes B?
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