A HARD riddle

[stunner5000pt]

Which guy will figure out the colour of his own cap?

There are 4 guys. That black box is a wall. It is not a special wall, no mirror, nothing transparent/transcluscent about it. They are all wearing caps (what you see in the pic is the overhead view). They cannot see their own caps.

However, they can see the guy in front of them. That is #1 can see what #2 is wearing and #3 is wearing and the wall. SImilarly #2 can see with #3 is wearing and the wall. #3 can just see the wall. and #4 is facing the wall too and he cannot see cannot but the wall, just like #3.

They cannot turn around they cannot talk to each other. NO MOVEMENT WHATSOEVER. They do not know of any pattern existing. One guy can figure out the colour of his own cap and when he figures it out he will yell it out. When he yells it out he will be absolutely certain of the colour of his own cap. Oh and they all know that there are 2 black caps and 2 white caps.

Also they are all seated in a straight line - my paint skills are sub par hence i could not draw that. They are all facing forward too. You also have to give me your reasoning as to how the guy figured it out

NO ONE is wearing anything reflective on the back of his bead/back. The guy who figures it out will do it based on what he can see and not by some trick like tipping his chair over or anything fancy.

Type your answer in White please

[UpstateTank]

im confused...you first said #4 can see #3, #2 and the wall...then 2 sentences later you said #4 can see only the wall?

[xlxBigSexyxlx]

ya, how can 4 see 3 with the wall there?

[stunner5000pt]

im confused...you first said #4 can see #3, #2 and the wall...then 2 sentences later you said #4 can see only the wall?

i myself got confused because of the numbering

Note that numbering is just for the convenience of explaining it

it has no significance to the solution

[stunner5000pt]

ya, how can 4 see 3 with the wall there?

it has been corrected

[UpstateTank]

are they allowed to rotate?

[stunner5000pt]

are they allowed to rotate?

nope

no movement

[xlxBigSexyxlx]

its probably something with 4 just cuz hes by himself lol

[stunner5000pt]

its probably something with 4 just cuz hes by himself lol

all he can see is the wall... same goes for 3...

i dont know what loking at wall helped anyone ever accomplish...

and NO there is no writing on the wall telling them the answer either

stop tying to take the easy way out

[xlxBigSexyxlx]

lol cant they just look up?

guess not..edited

[stunner5000pt]

lol cant they just look up?

could you tell the colour of our cap by looking at the ceiling??

my blue cap has a black lining... it gives nothing away

[stunner5000pt]

I will provide you with hints the next time i am on here.. which is probably tomorrow evening

until then you guys have some fun! This problem is all about logic.

[xlxBigSexyxlx]

2 has sunglasses on the back of his head, and 1, through reflection, can see his cap.

[stunner5000pt]

2 has sunglasses on the back of his head, and 1, through reflection, can see his cap.

no relective stuff like that! LOL

[mister.fantastic]

Which guy will figure out the colour of his own cap?

There are 4 guys. That black box is a wall. It is not a special wall, no mirror, nothing transparent/transculent about it. They are all wearing caps (what you see in the pic is the overhead view). They cannot see their own caps.

However, they can see the guy in front of them. That is #1 can see what #2 is wearing and #3 is wearing and the wall. SImilarly #2 can see wath #3 is wearing and the wall. #3 can just see the wall. and #4 is facing the wall too and he cnanot see anythig but the wall, just like #3.

They cannot turn around they cannot talk to each other. NO MOVEMENT WHATSOEVER. They do not know of any pattern existing. One guy can figure out the colour of his own cap and when he figures it out he will yell it out. When he yells it out he will be absolutely certain of the colour of his own cap. Oh and they all know that there are 2 black caps nad 2 white caps.

Also they are all seated in a straight line - my paint skills are sub par hence i could not draw that. They are all facing forward too. You also have to give me your reasoning as to how the guy figured it out

Type your answer in White please

You little bastard.. now i'm not getting any homework done cause of this damn thing........ I knew right when i clicked on this thread that my Human Anatomy 3x5 cards would have to wait.......

[xlxBigSexyxlx]

do the caps match what they r wearing?

[UpstateTank]

I will provide you with hints the next time i am on here.. which is probably tomorrow evening

until then you guys have some fun! This problem is all about logic.

thats evil! im gonna drive myself nuts with this!

[stunner5000pt]

do the caps match what they r wearing?

NOOOOOOOOOOOOOoooooooooooooooooooo

[big staley]

whats nad mean

[stunner5000pt]

You little bastard.. now i'm not getting any homework done cause of this damn thing........ I knew right when i clicked on this thread that my Human Anatomy 3x5 cards would have to wait.......

i should hav put an advisory for this thread - warning... may result in complete halt to productivity

[stunner5000pt]

whats nad mean

typo...

[UpstateTank]

I will provide you with hints the next time i am on here.. which is probably tomorrow evening

until then you guys have some fun! This problem is all about logic.

i dont know if this is the right way to go about it but i kid you not i just started to make truth tables

[stunner5000pt]

i dont know if this is the right way to go about it but i kid you not i just started to make truth tables

i dont know HOW you are even constucting them...

what do you mena by True and False in your table??

don't go that way by the way.. think logically ... there is no special math/logic/porn required for this

[stunner5000pt]

When my friend and I were given this riddle we spent about 3 hours thinking about it unsuccessfully

we eventualy just gave up.... in fact the solution was hard to understand at first too . now it makes perfect sense though

[UpstateTank]

i dont know HOW you are even constucting them...

what do you mena by True and False in your table??

don't go that way by the way.. think logically ... there is no special math/logic/porn required for this

i was thinking in terms of p could represent "wears a white hat" and q could represent "wears a black hat"...then of course all the true/false combos following them

i think im thinking too much into this

[xlxBigSexyxlx]

logic huh?

try this on for size

ok get this, #1 sees a white and a black hat in front of him. He cannot tell what hat he is wearing, so he keeps his mouth shut. If #1 saw two black hats, he would know that he was wearing a white hat. Because #1 does not say anything, #2 knows that #1 must see a black and a white hat. #2 sees a white hat and therefor he knows that he himself wears a black hat.

so logic tells us that its all on #2
BINGO!

damn my head hurts

[l2elapse]

#1 can only see #2

[xlxBigSexyxlx]

1 can see 2, 3, and wall

[l2elapse]

nvm #1 can see 2 and 3

[l2elapse]

logic huh?

try this on for size

ok get this, #1 sees a white and a black hat in front of him. He cannot tell what hat he is wearing, so he keeps his mouth shut. If #1 saw two black hats, he would know that he was wearing a white hat. Because #1 does not say anything, #2 knows that #1 must see a black and a white hat. #2 sees a white hat and therefor he knows that he himself wears a black hat.

so logic tells us that its all on #2

BINGO!

damn my head hurts

this sounds right

[xlxBigSexyxlx]

this sounds right

yeah, he said logical, so I thought logical

and boom, after stabbing myself with a pencil, I got it!

[UpstateTank]

its #2! 1 can see 2 & 3 and 2 can see 3....2 can see that 3 has on a white hat and 2 also knows that 1 can see both of them...if 2 and 3 had on the same color hat (which would ahve been white)1 would have shouted but since he hasnt 2 has to know his hat is not white so its gotta be black!

[UpstateTank]

GODDAMIT BIGSEXY you beat me again!!!!!

[xlxBigSexyxlx]

GODDAMIT BIGSEXY you beat me again!!!!!

hahaha!

I win again!

yes!

that one was a bit tougher though.

good game lol

[UpstateTank]

hahaha!

I win again!

yes!

that one was a bit tougher though.

good game lol

haha i quit for now...my head hurts...until next time ya witty bastard

[cfiler]

That's good.

[auslifta]

you beat me to it,didnt get time to get it, ill post one soon

[stunner5000pt]

logic huh?

try this on for size

ok get this, #1 sees a white and a black hat in front of him. He cannot tell what hat he is wearing, so he keeps his mouth shut. If #1 saw two black hats, he would know that he was wearing a white hat. Because #1 does not say anything, #2 knows that #1 must see a black and a white hat. #2 sees a white hat and therefor he knows that he himself wears a black hat.

so logic tells us that its all on #2

BINGO!

damn my head hurts

good job man

you're one of the select few (actually you're the second person) who managed to solve it without any hints

could you put your answer in white