Company A will default with probability .01, company B will default with probability .05, and company C will default with probability .09. I will buy a bond of company A with probability .5, I will buy a bond of company B with probability .3, and I will buy a bond of company C with probability .2. Given that the bond that I bought defaults, what is the probability that the bond was of Company A?

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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Company A will default with probability .01, company B will default with probability
.05, and company C will default with probability .09. I will buy a bond of company A with
probability .5, I will buy a bond of company B with probability .3, and I will buy a bond
of company C with probability .2. Given that the bond that I bought defaults, what is the
probability that the bond was of Company A?
Transcribed Image Text:Company A will default with probability .01, company B will default with probability .05, and company C will default with probability .09. I will buy a bond of company A with probability .5, I will buy a bond of company B with probability .3, and I will buy a bond of company C with probability .2. Given that the bond that I bought defaults, what is the probability that the bond was of Company A?
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