On any given day in summer, it may or may not rain and you may or may not have an umbrella. Which of the following pairs of events partition the sample space? OUR ANSWERSHEET SAYS THAT THE ANSWER IS A, BUT CAN ANYONE EXPLAIN WHY??? (a) “you have an umbrella and it rains”, “you don’t have an umbrella or it doesn’t rain”  (b) “you get wet”, “you have an umbrella” (c) “you have an umbrella and it doesn’t rain”, “you don’t have an umbrella and it rains” (d) “You have an umbrella or you don’t have an umbrella”, “it rains or it doesn’t rain” (e) None of the other choices

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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On any given day in summer, it may or may not rain and you may or may not have an umbrella. Which of the following pairs of events partition the sample space?

OUR ANSWERSHEET SAYS THAT THE ANSWER IS A, BUT CAN ANYONE EXPLAIN WHY???

(a) “you have an umbrella and it rains”, “you don’t have an umbrella or it doesn’t rain” 

(b) “you get wet”, “you have an umbrella” (c) “you have an umbrella and it doesn’t rain”, “you don’t have an umbrella and it rains”

(d) “You have an umbrella or you don’t have an umbrella”, “it rains or it doesn’t rain” (e) None of the other choices

 

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