Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

We don't have people being II, VI, VII, VIII or IX.

Why did the vector cross the road?

It wanted to be normal.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

OK. I'll be nineth.

IX: black

IPBLE: Increasing Performance By Lowering Expectations.

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

I'll be VIII, if that's OK.

VIII: black

Why did the vector cross the road?

It wanted to be normal.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Now i'll be VII

white

IPBLE: Increasing Performance By Lowering Expectations.

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

It's a bit silly, because we've already read the hat colours when deciding what other people should say, but there's no way to get around it. I'll do VI.

VI: black

And MathsIsFun already claimed V, so let's wait for him.

Why did the vector cross the road?

It wanted to be normal.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

Yes. Waiting for MSF...

IPBLE: Increasing Performance By Lowering Expectations.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

Amazing logic!

If I get it right, "X" said white, so there are an even number of white hats ahead of him, correct?

And so far I know that the hats revealed are (W for "X", but doesn't count because he couldn't see it), B, B, W, B, giving an **odd** number of Ws between "X" and me.

Now, I can see an **odd** number of Ws ahead of me, and that makes an **even** number of white hats (excluding mine). So I **can't** be "W" or that would make an odd number, so I must be "B".

(Yes, I have revealed extra info, but maybe someone needs help following the logic?)

"V": Black

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ryos****Member**- Registered: 2005-08-04
- Posts: 394

IV: White.

El que pega primero pega dos veces.

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

Woops, I forgot to read the 2nd page of responses in the thread...

so I erased my response...

...

Okay, now I've read everything, so I'm gonna be person #2.

And I must say mathsyperson was really on the ball to figure out this scheme!!!

*Last edited by John E. Franklin (2005-12-20 09:38:43)*

**igloo** **myrtilles** **fourmis**

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Well, I never would have got it if justlookingforthemoment hadn't sparked it with her comment about the 5 hats. Speaking of which, where is she? We're waiting for her.

Why did the vector cross the road?

It wanted to be normal.

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

Okay. So there's an even number of white hats. And according to all the infomation given...

III: white.

Hope I understood and didn't muck it up!

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

For naw everything is OK. Everybody except me have guessed their color right.

IPBLE: Increasing Performance By Lowering Expectations.

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

My turn.

II. white

**igloo** **myrtilles** **fourmis**

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

And person I finishes off by saying that his hat is black.

We beat the tribe!

Why did the vector cross the road?

It wanted to be normal.

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