Example 1.15 You know that a certain letter is equally likely to be in any one of three different folders. Let a; be the probability that you will find your letter upon making a quick examination of folder i if the letter is, in fact, in folder i, i = 1, 2, 3. (We may have a; < 1.) Suppose you look in folder 1 and do not find the letter. What is the probability that the letter is in folder 1?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Example 1.15 You know that a certain letter is equally likely to be in any one
of three different folders. Let a; be the probability that you will find your letter
upon making a quick examination of folder i if the letter is, in fact, in folder
i, i = 1,2, 3. (We may have a; < 1.) Suppose you look in folder 1 and do not
find the letter. What is the probability that the letter is in folder 1?
Transcribed Image Text:Example 1.15 You know that a certain letter is equally likely to be in any one of three different folders. Let a; be the probability that you will find your letter upon making a quick examination of folder i if the letter is, in fact, in folder i, i = 1,2, 3. (We may have a; < 1.) Suppose you look in folder 1 and do not find the letter. What is the probability that the letter is in folder 1?
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