The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport. Small Medium Large Regular Coffee 14% 20% 26% Black Coffee 20% 10% 10% Consider randomly selecting such a coffee purchaser. a. What is the probability that the individual purchased a small cup? b. What is the probability that the individual purchased a cup of black coffee? c. If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose black coffee, and how would you interpret this probability? d. If we learn that the selected individual purchased black coffee, what now is the probability that a small size was selected?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The accompanying table gives information on the type of coffee selected by
someone purchasing a single cup at a particular airport.

Small Medium Large
Regular Coffee 14% 20% 26%
Black Coffee 20% 10% 10%

Consider randomly selecting such a coffee purchaser.
a. What is the probability that the individual purchased a small cup?
b. What is the probability that the individual purchased a cup of black coffee?
c. If we learn that the selected individual purchased a small cup, what now is
the probability that he/she chose black coffee, and how would you
interpret this probability?
d. If we learn that the selected individual purchased black coffee, what now
is the probability that a small size was selected?

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