While watching a game of Champions League football in a cafe, you observe someone who is clearly supporting Manchester United in the game. What is the probability that they were born within 25 miles of Manchester? Assume that: the probability that a randomly selected person in a typical local bar environment is born within 25 miles of Manchester is ; the chance that a person born within 25 miles of Manchester actually supports United is ; the probability that a person not born within 25 miles of Manchester supports United with probability

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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While watching a game of Champions League football in a cafe, you observe someone who is clearly supporting Manchester United in the game. What is the probability that they were born within 25 miles of Manchester?

Assume that:

  • the probability that a randomly selected person in a typical local bar environment is born within 25 miles of Manchester is ;
  • the chance that a person born within 25 miles of Manchester actually supports United is ;
  • the probability that a person not born within 25 miles of Manchester supports United with probability .
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