03-01-2008, 10:59 AM
He had a white hat. In any case that he would have a red hat, one of the others would have been able to figure out their own hat color.
1w 2r 3r = one would know he has a white hat because he sees both red hats so he would have guessed correctly
1r 2w 3r = two would know he has a white hat because he sees both red hats so he would have guessed correctly
1w 2w 3r = 2 would know that he has a white hat because he knows that 1 didn't see two reds (or else 1 would know that his is white), and two sees that 3 does have a red hat, so he would know that he must have a white one.
Since neither 1 or 2 guessed correctly, they 3 knows that he must have a white hat.
1w 2r 3r = one would know he has a white hat because he sees both red hats so he would have guessed correctly
1r 2w 3r = two would know he has a white hat because he sees both red hats so he would have guessed correctly
1w 2w 3r = 2 would know that he has a white hat because he knows that 1 didn't see two reds (or else 1 would know that his is white), and two sees that 3 does have a red hat, so he would know that he must have a white one.
Since neither 1 or 2 guessed correctly, they 3 knows that he must have a white hat.
[SIZE="1"]AAS (Electronics), TESC-Done
BA Psychology, TESC-Done & waiting
Tests- Eng. Comp. w/ Essay-51, Principles of Mgmt.-59, Intro. to Soc.-62, US History I-66, US History II-61, Intro. to Psych.-68, Biology-55, A&I Lit.-62, Ed. Psych.-63, Soc. Sci. and History-63, Human Growth & Development-65, American Gov't-64, Tech. Writing-63, HTYH-64, Drug & Alc. Abuse-58, Org. Behavior-67, Prin. of Statistics-62, Intro. World Religion-68, Intro to Computing-403, Ethics-439. Research Methods in Psych.-A, Psych. of Personality TECEP-73, Abnormal Psych TECEP-74, Industrial Psych-71
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BA Psychology, TESC-Done & waiting
Tests- Eng. Comp. w/ Essay-51, Principles of Mgmt.-59, Intro. to Soc.-62, US History I-66, US History II-61, Intro. to Psych.-68, Biology-55, A&I Lit.-62, Ed. Psych.-63, Soc. Sci. and History-63, Human Growth & Development-65, American Gov't-64, Tech. Writing-63, HTYH-64, Drug & Alc. Abuse-58, Org. Behavior-67, Prin. of Statistics-62, Intro. World Religion-68, Intro to Computing-403, Ethics-439. Research Methods in Psych.-A, Psych. of Personality TECEP-73, Abnormal Psych TECEP-74, Industrial Psych-71
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