or Connect
AppleInsider › Forums › Other Discussion › AppleOutsider › Brain Busters
New Posts  All Forums:Forum Nav:

Brain Busters

post #1 of 12
Thread Starter 
There's a wall.

On one side of the wall you have a guy with a black hat. He can't see over the wall.

On the other side of the wall, you have three guys in a line with hats. The one closest to the wall has a white hat. The middle one has a black hat. The last one has a white hat. They can't turn around. The 4 also can't say anything unless they know with 100% certainty what color hat they have on. There can only be 2 black hats and 2 white hats. The last one in line can see the two people ahead of him, so he knows which color hats they have on.

Which one knows with absolute certainty which color hat he has on?

(No cheating, internet savvy forum members!)

*Also, share some brain busters of your own!
post #2 of 12
Can any of the other three see the one guy with the black hat?

In our desire to impose form on the world we have lost the capacity to see the form that is there;
and in that lies not liberation but alienation, the cutting off from things as they really are. --...

Reply

In our desire to impose form on the world we have lost the capacity to see the form that is there;
and in that lies not liberation but alienation, the cutting off from things as they really are. --...

Reply
post #3 of 12
Thread Starter 
Quote:
Originally Posted by dmz View Post

Can any of the other three see the one guy with the black hat?

Only the guy at the end of the line can see a guy with a black hat.

(Again, note that he can see the two guys in front of him, so he knows what color hat they have on)
post #4 of 12
And no body can take their hat off or anything like that, right?
They spoke of the sayings and doings of their commander, the grand duke, and told stories of his kindness and irascibility.
Reply
They spoke of the sayings and doings of their commander, the grand duke, and told stories of his kindness and irascibility.
Reply
post #5 of 12
Thread Starter 
Quote:
Originally Posted by addabox View Post

And nobody can take their hat off or anything like that, right?

Right.

Just the facts listed.
post #6 of 12
So I'd say it has something to do with the fact that the guy on the far side doesn't hear anyone speak up, so he knows the last guy in the line of three is seeing a white and black hat in front of him.

Oh, wait, the second guy in line knows that too, and he can see the white hat in front of him, so he knows he must be wearing the black hat.
They spoke of the sayings and doings of their commander, the grand duke, and told stories of his kindness and irascibility.
Reply
They spoke of the sayings and doings of their commander, the grand duke, and told stories of his kindness and irascibility.
Reply
post #7 of 12
Thread Starter 
I'll let dmz take a crack at it too.
post #8 of 12
Quote:
Originally Posted by ShawnJ View Post

Only the guy at the end of the line can see a guy with a black hat.

(Again, note that he can see the two guys in front of him, so he knows what color hat they have on)

I think addabox got it. It's the only way for the last guy to be up in the air. He knows the last guy is confused because he (himself) can't be wearing a white hat.

In our desire to impose form on the world we have lost the capacity to see the form that is there;
and in that lies not liberation but alienation, the cutting off from things as they really are. --...

Reply

In our desire to impose form on the world we have lost the capacity to see the form that is there;
and in that lies not liberation but alienation, the cutting off from things as they really are. --...

Reply
post #9 of 12
definitely the middle guy... after about thirty seconds...
"In a republic, voters may vote for the leaders they want, but they get the leaders they deserve."
Reply
"In a republic, voters may vote for the leaders they want, but they get the leaders they deserve."
Reply
post #10 of 12
And, by the conditions set, the first guy in line will know he has a white hate as soon as the guy behind him speaks up.

Which means the first guy will definitely know what color hat he is wearing, as well.

Last guy in line and guy on other side of wall are doomed to a life of ambiguity, however.
They spoke of the sayings and doings of their commander, the grand duke, and told stories of his kindness and irascibility.
Reply
They spoke of the sayings and doings of their commander, the grand duke, and told stories of his kindness and irascibility.
Reply
post #11 of 12
Thread Starter 
Quote:
Originally Posted by dmz View Post

I think addabox got it. It's the only way for the last guy to be up in the air. He knows the last guy is confused because he (himself) can't be wearing a white hat.

Right!

Who's got a good brain buster?

I know hardeeharhar's got one that will stump us all.
post #12 of 12
To paraphrase The Matrix... "there is no hat".

Proud AAPL stock owner.

 

GOA

Reply

Proud AAPL stock owner.

 

GOA

Reply
New Posts  All Forums:Forum Nav:
  Return Home
  Back to Forum: AppleOutsider
AppleInsider › Forums › Other Discussion › AppleOutsider › Brain Busters