3. An art dealer receives a shipment of five old paintings from abroad, and, on the basis of past experience, she feels that the probabilities are respectively, 0.76, 0.09, 0.02, 0.01, 0.02 and 0.10 that 0,1,2,3,4 or all 5 of them are forgeries. Since the cost of authentication is fairly high, she decides to select one of the five paintings at random and send it away for authentication. If it turns out that this painting is a forgery, what probability should she now assign to the possibility that all the other paintings are also forgeries? Note that the answer is not 0.1.
3. An art dealer receives a shipment of five old paintings from abroad, and, on the basis of past experience, she feels that the probabilities are respectively, 0.76, 0.09, 0.02, 0.01, 0.02 and 0.10 that 0,1,2,3,4 or all 5 of them are forgeries. Since the cost of authentication is fairly high, she decides to select one of the five paintings at random and send it away for authentication. If it turns out that this painting is a forgery, what probability should she now assign to the possibility that all the other paintings are also forgeries? Note that the answer is not 0.1.
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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Transcribed Image Text:3. An art dealer receives a shipment of five old paintings from abroad, and, on the basis of past
experience, she feels that the probabilities are respectively, 0.76, 0.09, 0.02, 0.01, 0.02 and 0.10 that
0,1,2,3,4 or all 5 of them are forgeries. Since the cost of authentication is fairly high, she decides to
select one of the five paintings at random and send it away for authentication. If it turns out that this
painting is a forgery, what probability should she now assign to the possibility that all the other
paintings are also forgeries? Note that the answer is not 0.1.
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