What color hat do you have on ?

  • #1
i hope this wasnt already asked. i couldnt find it anywhere.

you and 2 others are placed in a room with blindfolds. a hat is placed on each of you. it is either red or black. the blindfolds are then removed. you are told to stand if you see a red hat. everybody stands, while obeying the command. you see 2 red hats. what color hat do you have on ? if you are correct, you run to become the new king. if you are incorrect, you are promptly executed.
 

Answers and Replies

  • #2
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,916
19
I have no idea.

Now, if I knew the other two people are also given this choice, want to be in the running to be king, and have a decent reasoning capability, I'd have a better idea... :wink:
 
  • #3
hi hurky,

thanks for not giving away the answer so soon. gosh i just posted it a couple minutes ago. you guys are too smart.
 
  • #4
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
14,916
19
Well, this is one of the classics -- a lot of us have seen it before.

And we have a convention over here: we write our answers in white (technically, color #black), so that you cannot see the answer we give unless you hightlight it with the mouse.
 
  • #5
i noticed a few answers were in white, and i was having a hard time reading them. that's cool.

these were 3 puzzles that i liked - in the past few years.

i was jumping up and down when i got the marble one, because it took me a long time to get it. but i did so with no clues whatsoever, so it was very satisfying for me when i did finally come up with it. you can go thru quite a few gyrations, before you stumble onto the answer. and i have to admit - i would call it stumbling, in my case. i felt sorta lucky to have gotten it.

the cannibal one took me about an hour or so. the hat one is really less involved. it is solvable in a minute, if you happen to be thinking correctly - in it is really just one thought that you need.

the marbles and cannibals involve several steps.
 
  • #6
124
0
this puzzle has been posted , a few times ... its always fun to do though .
 
  • #8
Mk
1,984
3
i hope this wasnt already asked. i couldnt find it anywhere.

you and 2 others are placed in a room with blindfolds. a hat is placed on each of you. it is either red or black. the blindfolds are then removed. you are told to stand if you see a red hat. everybody stands, while obeying the command. you see 2 red hats. what color hat do you have on ? if you are correct, you run to become the new king. if you are incorrect, you are promptly executed.
So what's the answer? Can't I wait and see if any of them are executed first? I hope the room isn't lit by a red light bulb.
 
  • #9
hi mk,

no, it is not a silly answer. it takes a little thinking "outside of the box", but it is very answerable, with just the information given.
 
  • #10
>[COLOR="#black"]Assuming the other 2 aren't idiots, you have a red hat. If they don't figure their's out quickly.

First assume you have a black hat, if you have a black hat then the other two would only see the red hat on eachother's head. Knowing that eachother can't see their own, they realise they themselves must have a red hat.

Since neither person quickly realised his color it means that you must have a red hat as well, else they'd know theirs and had said it already.[/COLOR]


I explained that badly I think, it'd be a bummer if they were idiots.
 
  • #11
hi ge,

yes, that is the correct answer, if i am following you correctly.
 
  • #12
Told ya I explained it badly :-).
 

Related Threads on What color hat do you have on ?

  • Last Post
Replies
21
Views
3K
Replies
1
Views
3K
  • Last Post
Replies
21
Views
8K
  • Last Post
2
Replies
25
Views
2K
  • Last Post
3
Replies
69
Views
13K
  • Last Post
Replies
2
Views
2K
Replies
4
Views
2K
  • Poll
  • Last Post
Replies
13
Views
3K
Top