Help asap please! Question 519 ] An Island of Riddles There is an island on whic
ID: 3890525 • Letter: H
Question
Help asap please!
Question 519 ] An Island of Riddles There is an island on which everyone is a dragon or a troll. Dragons, being noble, always tell the truth. Trolls, being tricky, always lie. Alice, Bob, and Carol, all inhabitants of the island, make the following statements: Alice: "Bob is a dragon" Bob: "Alice is a dragon" Carol: "Alice is a troll" a. (3) Is it possible that Alice is a dragon? Is it possible that Alice is a troll? Justify each answer in no more than three sentences. Hint: a full and complete justification will include more than just a truth table, and will almost certainly include the word, "because (with reference to what Alice, Bob, and Carol said) b. (3) is it possible that Carol is a dragon? Is it possible that Carol is a troll? Justify each answer in no more than three sentences. C. (3) There are eight possible assignments of dragon or troll to Alice, Bob, and CarolAn assignment is a label of dragon or troll to each of Alice, Bob, and Carol, regardless of whether it is correct or incorrect. For example, "Alice is a dragon, Bob is a dragon, and Carol is a troll" is one of the eight possible assignments, regardless of whether that assignment is correct or not are all of the eight possible assignments potentially correctbased on what Alice , , Bob, and Carol said Justify answer answer will be judged the brevity and your your on preciseness of justifying why either "yes" or "no" is correct.Explanation / Answer
Solution:
First of all, let's have the truth table.
Alice: "Bob is a dragon"
Bob: "Alice is a dragon"
Carol: "Alice is a dragon"
Alice: "Bob is a dragon"
Bob: "Alice is a dragon"
Carol: "Alice is a troll"
Alice: "Bob is a dragon"
Bob: "Alice is a troll"
Carol: "Alice is a dragon"
Alice: "Bob is a dragon"
Bob: "Alice is a troll"
Carol: "Alice is a troll"
Alice: "Bob is a troll"
Bob: "Alice is a dragon"
Carol: "Alice is a dragon"
Alice: "Bob is a troll"
Bob: "Alice is a dragon"
Carol: "Alice is a troll"
Alice: "Bob is a troll"
Bob: "Alice is a troll"
Carol: "Alice is a dragon"
Alice: "Bob is a troll"
Bob: "Alice is a troll"
Carol: "Alice is a troll"
a)
Yes, it is possible that Alice is a dragon because Bob is a dragon and being dragon he is telling the truth, and Carol being the troll is telling a lie.
It is also possible that Alice is a troll, in that case, Bob is also a troll and Carol is a dragon and is telling the truth of Alice being a troll.
b)
Yes, it is possible that Carol is a dragon, in that case, Bob and Alice will be a troll because being a dragon Carol says that "Alice is a troll" and Since Alice is a troll this means that Alice is lying about Bob being a dragon
It is also possible that Carol is a troll, because Bob is a dragon and being dragon he is telling the truth, and Carol being the troll is telling a lie.
c)
Yes, all of them cannot be correct but some of them might be.
Because out of the eight possibilities, not any of them contracting between the three given statements to say that they are false.
I hope this helps if you find any problem. Please comment below. Don't forget to give a thumbs up if you liked it. :)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.