Inhabitants on Smullyan's Island are either always telling the truth or always lying. You meet three people, Gregor, Tywin, and Catelyn on the Island. You turn to Gregor and ask "how many of you are truth-tellers?" Gregor mumbles something unintelligible, but Tywin and Catelyn speak up: Tywin: He said only one of us is truth-teller." Catelyn: No he didn't!"
Inhabitants on Smullyan's Island are either always telling the truth or always lying. You meet three people, Gregor, Tywin, and Catelyn on the Island. You turn to Gregor and ask "how many of you are truth-tellers?" Gregor mumbles something unintelligible, but Tywin and Catelyn speak up: Tywin: He said only one of us is truth-teller." Catelyn: No he didn't!"
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:Inhabitants on Smullyan's Island are either always telling the truth or always
lying.
You meet three people, Gregor, Tywin, and Catelyn on the Island. You turn to
Gregor and ask "how many of you are truth-tellers?"
Gregor mumbles something unintelligible, but Tywin and Catelyn speak up:
Tywin: He said only one of us is truth-teller."
Catelyn: No he didn't!"
From this, using truth-tables, what can you tell about Gregor, Tywin, and Catelyn?
O Catelyn is a liar
O Catelyn is a truth-teller
O Catelyn may be a truth-teller or a liar
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