Is there an easy answer to the blue eyes logic puzzle?

A word of warning: The answer is not simple. This is an exercise in serious logic, not a lateral thinking riddle. There is not a quick-and-easy answer, and really understanding it takes some effort. I didn’t come up with the idea of this puzzle, but I’ve written and rewritten it over the the years to try to make a definitive version.

What’s the best way to answer a logic problem?

Answering Logical Reasoning Problems. Consider each word in the question for hidden easy answers. Many logic problems try to distract you or lead you down the wrong path. Don’t follow the first train of thought that enters your head; look at each word and see if there’s a simple answer that’s easy to miss.

How to solve a logic puzzle with pictures?

Write a vertical column on the left hand side of the paper, with every item you wrote down on a list on a separate line. Keep each list together and separate them with a thick line. For instance, let’s say you have three lists. Names: Anna, Brad, Caroline; Desserts: brownies, ice cream, none; and Color of Shirts: red; blue, yellow.

Can a player see the colour of another player’s hat?

Players can see the colours of at least some other players’ hats, but not that of their own. With highly restricted communication or none, some of the players must guess the colour of their hat. The problem is to find a strategy for the players to determine the colours of their hats based on the hats they see and what the other players do.

Which is the only blue eyed person in the world?

He looks around and sees no one else, and knows he should leave. 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 “ifI don’t have blue eyes [HYPOTHESIS 1], thenthat guy is the only blue-eyed person.

How to solve the problem of blue eyes?

So he can wait two nights, and if no one leaves, he knows he must have blue eyes — THEOREM 2says that if he didn’t, the other guys would have left. When he sees that they didn’t, he knows his eyes are blue. All three of them are doing this same process, so they all figure it out on day 3 and leave.

How do you know if you have blue eyes?

He will know that if he doesn’t have blue eyes, there are only two blue-eyed people on the island — the two he sees. So he can wait two nights, and if no one leaves, he knows he must have blue eyes — THEOREM 2says that if he didn’t, the other guys would have left.

Are there 100 brown eyed people and 100 blue eyed people?

On this island there are 100 blue-eyed people, 100 brown-eyed people, and the Guru (she happens to have green eyes). So any given blue-eyed person can see 100 people with brown eyes and 99 people with blue eyes (and one with green), but that does not tell him his own eye color; as far as he knows the totals could be 101 brown and 99 blue.

Who are the blue eyed people on the island?

Everyone on the island knows all the rules in this paragraph. On this island there are 100 blue-eyed people, 100 brown-eyed people, and the Guru (she happens to have green eyes).

How many blue eyes can a Guru have?

Or 100 brown, 99 blue, and he could have red eyes. The Guru is allowed to speak once (let’s say at noon), on one day in all their endless years on the island.

Which is the hardest logic puzzle in the world?

Blue Eyes: The Hardest Logic Puzzle in the World A group of people with assorted eye colors live on an island. They are all perfect logicians — if a conclusion can be logically deduced, they will do it instantly.

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