You have just talked to a randomly selected person who was wearing a red shirt, but forgot to ask them their preferred sport. What is the probability that they are a soccer fan? What is the probability that a randomly selected bar patron is a soccer fan AND they are wearing red? What is the probability that a randomly selected part goer is a soccer fan OR they are wearing red?

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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At a bar, 30% of those in attendance are football fans, 50% in attendance are soccer fans, and 20% in attendance are hockey fans. You may assume these sports fandoms are mutually exclusive. The probability that a football fan is wearing a red shirt is 15%. The probability that a soccer fan is wearing a red shirt is 45% and the probability that a hockey fan is wearing a red shirt is 85%.

  1. You have just talked to a randomly selected person who was wearing a red shirt, but forgot to ask them their preferred sport. What is the probability that they are a soccer fan?
  2. What is the probability that a randomly selected bar patron is a soccer fan AND they are wearing red?
  3. What is the probability that a randomly selected part goer is a soccer fan OR they are wearing red?

 

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