Can you solve this riddle?

[Rokudaime Hokage Naruto]

There are 4 gamblers each wearing a cone. The aim of the game is to correctly identify the colour of the cone they are wearing. If they do they will double the money they staked, and if they are incorrect they will lose all their money. All the gamblers know is that there are 4 people wearing the cone and that there are 2 white ones and 2 black ones. They can also only see the person(s) in front of them and are not allowed to turn around.

I.e C can see B
D can see C and B
A and B cannot see anyone as their view is restricted by the wall.


Who if any of the men can with 100% accuracy say what colour cone they are wearing? and by what Logic.

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Edit: rep to whoever gets it first.

Correct answer

Spoiler

C.

Spoiler

D can see C and B, but doesn't know his own hat color.

B can't see anyone. A isn't aware of anyone, either.

That leaves C. C knows he is wearing a black hat because if D saw that both B and C were wearing white hats, then he would have answered. But since D is silent, C knows that he must be wearing a black hat as he can see that B is wearing a white hat.

 

[NaNaNaaaaa]

D. Because D can see B and C and knows what colour cone they are wearing, he also knows what colour cone he is wearing, so A must be the colour that he cannot see and is not wearing.

 

[Rokudaime Hokage Naruto]

D. Because D can see B and C and knows what colour cone they are wearing, he also knows what colour cone he is wearing, so A must be the colour that he cannot see and is not wearing.

Yes he can see B and C but that doesn't mean he know what colour he is wearing.

 

[Limbo]

dat jessica alba doeee

ot: A, because i said so

 

[NaNaNaaaaa]

The only way is if one know what colour hat he is wearing...Oh...goes back to stare

Edit: I read it wrong, I thought they had to know what colour they where all wearing not the colour he is wearing himself, goes back to try and work it out

 

[Crunzbatsu]

dat jessica alba doeee

ot: A, because i said so

It all makes sense now, ty.

 

[Ikutsuki]

C.

Spoiler

D can see C and B, but doesn't know his own hat color.

B can't see anyone. A isn't aware of anyone, either.

That leaves C. C knows he is wearing a black hat because if D saw that both B and C were wearing white hats, then he would have answered. But since D is silent, C knows that he must be wearing a black hat as he can see that B is wearing a white hat.

 

[Aoihime]

Define who you mean by "what color cone they are wearing"

 

[Corgi]

Obvious answer is C.

Edit: Someone beat me to it, never mind.

 

[Fuzzy Panda]

Well it depends if the people know what the other people think. For example if C knows that D can't figure it out then C can guess with 100% certainty that his hat is different from B's. Because if D doesn't know, that means that C and B are wearing two different colours. If they were wearing the same colour, D would just select the opposite colour.

Edit: Ikutsuki seems to have got it first ;P

 

[kakashi owns all]

A, it has to be him if D does not say anything

 

[Whitefang0908]

It's letter C. Because he asked himself why D doesn't know what color his hat is if he can see the other's hat. C said " If D can see me and B wearing the same hat, D should have known his hat by now". By that thinking, B answered the correct color without any doubt or hesitation.

 

[Rokudaime Hokage Naruto]

It's letter C. Because he asked himself why D doesn't know what color his hat is if he can see the other's hat. C said " If D can see me and B wearing the same hat, D should have known his hat by now". By that thinking, C answered the correct color without any doubt or hesitation.

You're kind of right but someone got it already.

 

[The Necromancer]

C.

Spoiler

D can see C and B, but doesn't know his own hat color.

B can't see anyone. A isn't aware of anyone, either.

That leaves C. C knows he is wearing a black hat because if D saw that both B and C were wearing white hats, then he would have answered. But since D is silent, C knows that he must be wearing a black hat as he can see that B is wearing a white hat.

That's stupid. It wasn't specified that they were to answer out loud. Before any chance for an answer to be given is given no one knows for certain.

Way to take the cheap road OP.

 

[Rokudaime Hokage Naruto]

That's stupid. It wasn't specified that they were to answer out loud. Before any chance for an answer to be given is given no one knows for certain.

Way to take the cheap road OP.

It's not necessary to specify that 'that they were to answer out loud'. And as it wasn't specified you should have considered the possibility instead of ruling it out.

 

[The Necromancer]

It's not necessary to specify that 'that they were to answer out loud'. And as it wasn't specified you should have considered the possibility instead of ruling it out.

The fact that it MUST be answered out loud means it is necessary.

All C knows is that the guy behind him has a 50% chance of knowing for certain. Other than that, before the question is answered, no one knows. Period.

So unless the proctor asks from right to left if they know what color they are wearing, no one is going to answer.

@Bold: By that logic, C could simply ask D what color his hat was, then tell them.

 

[TaBaYo]

C.

Spoiler

D can see C and B, but doesn't know his own hat color.

B can't see anyone. A isn't aware of anyone, either.

That leaves C. C knows he is wearing a black hat because if D saw that both B and C were wearing white hats, then he would have answered. But since D is silent, C knows that he must be wearing a black hat as he can see that B is wearing a white hat.

Obvious answer is C.

Edit: Someone beat me to it, never mind.

Well it depends if the people know what the other people think. For example if C knows that D can't figure it out then C can guess with 100% certainty that his hat is different from B's. Because if D doesn't know, that means that C and B are wearing two different colours. If they were wearing the same colour, D would just select the opposite colour.

Edit: Ikutsuki seems to have got it first ;P

C would be ina better position to predict his hat

 

[Karna]

I know someone already posted the right answer

but I just googled it

C calls out that he is wearing a black hat. Why is he 100% certain of the color of his hat?
After a while, C comes to the realization that he must answer.

This is because D can't answer, and neither can A or B.

D can see C and B, but can't determine his own hat color. B can't see anyone and also can't determine his own hat color. A is in the same situation as B, where he can't see anyone and can't determine his own hat color.

Since A, B, and D are silent, that leaves C. C knows he is wearing a black hat because if D saw that both B and C were wearing white hats, then he would have answered. But since D is silent, C knows that he must be wearing a black hat as he can see that B is wearing a white hat.

 

[Fuzzy Panda]

It's not necessary to specify that 'that they were to answer out loud'. And as it wasn't specified you should have considered the possibility instead of ruling it out.

Actually riddles should say all the details including that fact. Otherwise I can just say all the gamblers have 100% chance by just lifting the cone of their heads and looking at their colour, since it wasn't stated in the riddle that they can't do that.

 

[Rokudaime Hokage Naruto]

The fact that it MUST be answered out loud means it is necessary.

All C knows is that the guy behind him has a 50% chance of knowing for certain. Other than that, before the question is answered, no one knows. Period.

So unless the proctor asks from right to left if they know what color they are wearing, no one is going to answer.

@Bold: By that logic, C could simply ask D what color his hat was, then tell them.

Okay my bad, I had forgotten to include it and was drawing up the riddle from memory.