2. Politicians on parade. There were 100 politicians at a certain convention. Each politician was either crooked or honest. We are given the following two facts: a. At least one of the politicians was honest. b. Given any two of the politicians, at least one of the two was crooked. Can it be determined from these facts how many of the politicians were hon- est and how many were crooked? If so, how many? If not, why not?

A First Course in Probability (10th Edition)
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2. Politicians on parade. There were 100 politicians at a certain convention.
Each politician was either crooked or honest. We are given the following two
facts:
At least one of the politicians was honest.
a.
b. Given any two of the politicians, at least one of the two was crooked.
Can it be determined from these facts how many of the politicians were hon-
est and how many were crooked? If so, how many? If not, why not?
Transcribed Image Text:2. Politicians on parade. There were 100 politicians at a certain convention. Each politician was either crooked or honest. We are given the following two facts: At least one of the politicians was honest. a. b. Given any two of the politicians, at least one of the two was crooked. Can it be determined from these facts how many of the politicians were hon- est and how many were crooked? If so, how many? If not, why not?
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