57 replies to this topic

[roolstar]

There is something seriously erroneous in either this puzzle OR its answer.

1- In this puzzle:
In fact, if the Master really wanted to determine who the wisest one was using this experience, he had ONLY 2 choices to make:
A- All THREE should have RED dots
B- All THREE should have BLUE ones

He doesn't have any other choice!! Why?

Well simple: if he puts 2 RED and 1 BLUE or any other compbination, at least one of the "wise" men will be in a different situation than the others: it will either be easier or harder for him to know the answer, but NEVER THE SAME!

The initial conditions have to be the same for all of them so that the Master can compare their intelligence objectively and scientifically.

2- In the answer and its analysis:
The wisest man is simply the one who thought about the above analysis in 1, and predicted the master's choices. He will them shout out the same color that he sees on the others foreheads!

P.S: He doesn't even have to wait one second to do this!

[rookie1ja]

There is something seriously erroneous in either this puzzle OR its answer.

1- In this puzzle:
In fact, if the Master really wanted to determine who the wisest one was using this experience, he had ONLY 2 choices to make:
A- All THREE should have RED dots
B- All THREE should have BLUE ones

He doesn't have any other choice!! Why?

Well simple: if he puts 2 RED and 1 BLUE or any other compbination, at least one of the "wise" men will be in a different situation than the others: it will either be easier or harder for him to know the answer, but NEVER THE SAME!

The initial conditions have to be the same for all of them so that the Master can compare their intelligence objectively and scientifically.

2- In the answer and its analysis:
The wisest man is simply the one who thought about the above analysis in 1, and predicted the master's choices. He will them shout out the same color that he sees on the others foreheads!

P.S: He doesn't even have to wait one second to do this!

good point ... and that's exactly what happens in the next puzzle called Masters of Logic Puzzles II. (hats)

[puzzlesolver123]

i think its when the grand master said "when you see atleast one red dot raise you hand and say the colour of you dot on your head" since they all raised ther hand when the saw a red dot then they all had red dots, and one of them figured it out first
and they were looking at him

[roolstar]

i think its when the grand master said "when you see atleast one red dot raise you hand and say the colour of you dot on your head" since they all raised ther hand when the saw a red dot then they all had red dots, and one of them figured it out first
and they were looking at him

Not entirely correct.

Even if only two of them had red dots on their heads, they all would've raised their hands too...

[Gildoania]

or mabey he notices that one of the other guys is looking at him when they raise their hand

[Gildoania]

also he could of touched the paint with the back of his hand while it was still wet and when he raised his hand he saw the color, wise people know "if your not cheating, your not trying"

[LordDrakka]

I would agree they all must be red, that is why all hands were up and how he knew he had a red dot

[Bankaiyo]

this was easy the reason he knew that he had the red dot was because he himself did not see any red dots. While the other two had seen a red dot on his head and put their hands up...duh!

[Naruto Uzumaki]

Masters of Logic Puzzles I. (dots) - Back to the Logic Puzzles
Three masters of logic wanted to find out who was the wisest one. So they invited the grand master, who took them into a dark room and said: "I will paint each one of you a red or a blue dot on your forehead. When you walk out and you see at least one red point, raise your hands. The one who says what colour is the dot on his own forehead first, wins." Then he painted only red dots on every one. When they went out everybody had their hands up and after a while one of them said: "I have a red dot on my head."
How could he be so sure?

Spoiler for Solution

Masters of Logic Puzzles I. (dots) - solution
The wisest one must have thought like this:
I see all hands up and 2 red dots, so I can have either a blue or a red dot. If I had a blue one, the other 2 guys would see all hands up and one red and one blue dot. So they would have to think that if the second one of them (the other with red dot) sees the same blue dot, then he must see a red dot on the first one with red dot. However, they were both silent (and they are wise), so I have a red dot on my forehead.

HERE IS ANOTHER WAY TO EXPLAIN IT:
All three of us (A, B, and C (me)) see everyone's hand up, which means that everyone can see at least one red dot on someone's head. If C has a blue dot on his head then both A and B see three hands up, one red dot (the only way they can raise their hands), and one blue dot (on C's, my, head). Therefore, A and B would both think this way: if the other guys' hands are up, and I see one blue dot and one red dot, then the guy with the red dot must raise his hand because he sees a red dot somewhere, and that can only mean that he sees it on my head, which would mean that I have a red dot on my head. But neither A nor B say anything, which means that they cannot be so sure, as they would be if they saw a blue dot on my head. If they do not see a blue dot on my head, then they see a red dot. So I have a red dot on my forehead.

I see it as this. he sees that all hands are up so there has got to be a red dot on his head but since they didnt talk he took advantage of this chance making him the wiser one. i know thats what you all said but i need to clear it up for myself.

[Naruto Uzumaki]

also he could of touched the paint with the back of his hand while it was still wet and when he raised his hand he saw the color, wise people know "if your not cheating, your not trying"

rofl thats hilariously awesome