Thinking Aloud

January 10, 2006

Two physicists and a logician.

Filed under: Mathematics - uliang @ 12:47 pm

Two phycists, Mr. Brown and Mr. White and a logician Mr. Orange are wearing hats. They know that the hats are either white or black but not all are white.

Mr. Brown can see Mr. White and Mr. Orange hats.
Mr. White can see Mr. Brown and Mr. Orange hats.
Mr. Orange is blind. (poor him!)

Each are asked whether they know the colour of their own hats. And they each answer

Mr. Brown: “No.”
Mr. White:” No.”
Mr. Orange: ” Yes!”

So what is the colour of Mr. Orange hat, and how on earth did he know!!

**********
Let me assure you that this has a valid answer, and I know it.

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