7. You are on an island inhabited by three types of people: those who only tell the truth (knights), those who only tell lies (knaves), and those who sometimes tell the truth and sometimes tell lies (spies). Knaves are said to be of the lowest rank, spies of middle rank, and knights of highest rank. Two people stand before you: A and B. A says, "I am a knave and you are a spy." B says, "That is not true. I am of lower rank than you." What are A and B? A is a knight, B is a knight A is a knight, B is a spy

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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7. You are on an island inhabited by three types of people: those who only tell the truth (knights),
those who only tell lies (knaves), and those who sometimes tell the truth and sometimes tell lies
(spies). Knaves are said to be of the lowest rank, spies of middle rank, and knights of highest
rank. Two people stand before you: A and B.
A says, "I am a knave and you are a spy."
B says, "That is not true. I am of lower rank than you."
What are A and B?
●
A is a knight, B is a knight
A is a knight, B is a spy
Transcribed Image Text:7. You are on an island inhabited by three types of people: those who only tell the truth (knights), those who only tell lies (knaves), and those who sometimes tell the truth and sometimes tell lies (spies). Knaves are said to be of the lowest rank, spies of middle rank, and knights of highest rank. Two people stand before you: A and B. A says, "I am a knave and you are a spy." B says, "That is not true. I am of lower rank than you." What are A and B? ● A is a knight, B is a knight A is a knight, B is a spy
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