In the town of Biglerville, every resident is classified as either a Trickster or a Follower. The behavior of these two types of people is distinct: when a Trickster hears the truth, they respond with a lie, and when they hear a lie, they respond with the truth. Conversely, a Follower will always mirror what they hear: if they hear the truth, they will repeat the truth, and if they hear a lie, they will also lie. Note that if a Trickster or a Follower is the first to speak, their statement can be either true or false, based on their whim at the moment.You encounter two individuals from Biglerville, each carrying a bag. You know for certain that only one of these bags contains diamonds. The first person makes the statement, "A Trickster is carrying the diamonds." The second person immediately follows with, "I am carrying the diamond"Based on these interactions:(a) What can you deduce about the identities (Trickster or Follower) of the two individuals?(b) Which one of them has the diamond in their bag?   Explain in details

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In the town of Biglerville, every resident is classified as either a Trickster or a Follower. The behavior of these two types of people is distinct: when a Trickster hears the truth, they respond with a lie, and when they hear a lie, they respond with the truth. Conversely, a Follower will always mirror what they hear: if they hear the truth, they will repeat the truth, and if they hear a lie, they will also lie. Note that if a Trickster or a Follower is the first to speak, their statement can be either true or false, based on their whim at the moment.
You encounter two individuals from Biglerville, each carrying a bag. You know for certain that only one of these bags contains diamonds. The first person makes the statement, "A Trickster is carrying the diamonds." The second person immediately follows with, "I am carrying the diamond"
Based on these interactions:
(a) What can you deduce about the identities (Trickster or Follower) of the two individuals?
(b) Which one of them has the diamond in their bag?

 

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