Table of Contents
- 1 What is the answer to the blue eyes logic puzzle?
- 2 What is the quantified piece of information that the guru provides that each person did not already have?
- 3 What is the answer to the prisoner riddle?
- 4 What weeps and shrinks when you give it a red hat?
- 5 What happens if there are two blue-eyed people on the island?
- 6 What color are the eyes of the 200 Islanders?
- 7 What happens if the Islanders tell the captain the wrong color?
What is the answer to the blue eyes logic puzzle?
So: [THEOREM 1] If there is one blue-eyed person, he leaves the first night. If there are two blue-eyed people, they will each look at the other. They will each realize that “if I don’t have blue eyes [HYPOTHESIS 1], then that guy is the only blue-eyed person.
What is the quantified piece of information that the guru provides that each person did not already have?
1. What is the quantified piece of information that the Guru provides that each person did not already have? This is C(n>0), and it is its instance E100(n>0) that is really new information, and necessary for any action to take place (higher powers are also new information, but E100(n>0) alone gets things moving).
What is the hat riddle?
Every prisoner can see the hats of the people in front but not their own hat, or the hats worn by anyone behind. A prison guard, starts at the back of the line and asks each prisoner the colour of their hat. If they answer correctly, they will be pardoned, if they get it wrong, they’ll be executed.
What is the answer to the prisoner riddle?
ANSWER: Prisoner B. EXPLANATION: If prisoners B and C had the same color hat on, prisoner A would have know immediately that his hat was the other color (there are only two hats of each color). Since prisoner A was silent, prisoners B and C must have different colored hats.
What weeps and shrinks when you give it a red hat?
What am I? What weeps and shrinks when you give it a red hat? Melancholy melody, solemn and slow– all those who reside in me do not know so– you can make me anywhere, but only one time– I’ll be only yours, you’ll be forever mine.
Can the four prisoners be freed?
There are four prisoners. All four prisoners will be freed if at least one of them correctly guesses the colour of the hat on his head. They can’t speak to each other, and they can’t touch each other.
What happens if there are two blue-eyed people on the island?
So: [THEOREM 2]: If there are two blue-eyed people on the island, they will each leave the 2nd night. If there are three blue-eyed people, each one will look at the other two and go through a process similar to the one above. Each considers the two possibilities — “I have blue eyes” or “I don’t have blue eyes.”
What color are the eyes of the 200 Islanders?
They are forbidden from speaking with one another, or signing, or writing messages in the sand, else they be shot dead by the captain of a mysterious ship that visits the island each night. Of the 200 islanders, 100 have blue eyes, and 100 have brown eyes. However, no individual knows what color their own eyes are.
Can the 200 Islanders communicate with each other?
However, they cannot communicate with each other. They are forbidden from speaking with one another, or signing, or writing messages in the sand, else they be shot dead by the captain of a mysterious ship that visits the island each night. Of the 200 islanders, 100 have blue eyes, and 100 have brown eyes.
What happens if the Islanders tell the captain the wrong color?
If an islander tells the captain the color of his or her own eyes, they may board the ship and leave. If they get it wrong, they will be shot dead. Now, there is one more person on the island: the guru, who the islanders know to always tell the truth.