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ANSWER
For those of you who I have distracted, here is the answer to the brainteaser on the last post. ENjoy!
The first guy to guess (guy #10) will be the only one to assume the following value for the words "white" and "black": The answer "black" will mean that there are an odd number of black hats that he sees. The answer "white" will mean that there are an odd number of white hats that he sees. This way one by one all the other 9 people will know the color of their hats.
Let us say that guy #10 (first to speak, and sees the hats of the remaining 9) says "white". That should mean to everybody else that he sees an odd number of white hats. At this time guy #9 will either be wearing a white or a black hat. If he is wearing a white hat he will only see an even number of white hats, and since guy #10 said that there is and odd number of white hats, guy #9 will know that he is wearing white and will say it. But if guy #9 is wearing a black hat, he will see an odd number of white hats (just like #10 did), and thus will know that he is wearing a black hat and will say it. No matter what #9 answers, guy #8 (who heard guy #10 and guy #9) can now easily incorporate the color of hat on guy #9 into the original answer of guy #10. This will allow #8 to know if he should see an odd or even number of white hats in front of him to determine his own hat color. The same thing repeats with #7-1. And they all get it right except of course #10, though he may get lucky.
For those of you who I have distracted, here is the answer to the brainteaser on the last post. ENjoy!
The first guy to guess (guy #10) will be the only one to assume the following value for the words "white" and "black": The answer "black" will mean that there are an odd number of black hats that he sees. The answer "white" will mean that there are an odd number of white hats that he sees. This way one by one all the other 9 people will know the color of their hats.
Let us say that guy #10 (first to speak, and sees the hats of the remaining 9) says "white". That should mean to everybody else that he sees an odd number of white hats. At this time guy #9 will either be wearing a white or a black hat. If he is wearing a white hat he will only see an even number of white hats, and since guy #10 said that there is and odd number of white hats, guy #9 will know that he is wearing white and will say it. But if guy #9 is wearing a black hat, he will see an odd number of white hats (just like #10 did), and thus will know that he is wearing a black hat and will say it. No matter what #9 answers, guy #8 (who heard guy #10 and guy #9) can now easily incorporate the color of hat on guy #9 into the original answer of guy #10. This will allow #8 to know if he should see an odd or even number of white hats in front of him to determine his own hat color. The same thing repeats with #7-1. And they all get it right except of course #10, though he may get lucky.