I've stolen this simple one, so no googling allowed:
There are three logicians who are able to reason and deduce with perfect accuracy, their names are A, B, and C. They each know this as well. In a bag there are seven colored stickers. Two yellow, two red, and three green. The logicians know that too. Each logician reaches into the bag, grabs one sticker and slaps it on his forehead without looking to see what color it is. Any one logician is able to see the stickers on his compatriot's heads, but not the sticker on his own.
Jerry the interrogator asks logician A if he knows what color sticker is definitely not on his forehead.
"No.", A responds. Jerry asks logician B the same question, and receives the same answer.
Why must logician Cs sticker be green?
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Permalink Reply by James Mills on June 19, 2011 at 7:35pm
Permalink Reply by Akshay Bist on June 19, 2011 at 9:16pm
Permalink Reply by oneinfinity on June 19, 2011 at 9:39pm because if C were red and A said no, then B knows that their color cannot be red, because if B and C were red then A would be able to say that their color was not red.
if C were yellow and A said no, then B knows their color isn't yellow.
if C were green and A said no, then B cannot make a determination. Therefore, C must be green.
Permalink Reply by James Mills on June 19, 2011 at 9:44pm
Permalink Reply by oneinfinity on June 19, 2011 at 10:07pm
Permalink Reply by James Mills on June 19, 2011 at 10:13pm
Permalink Reply by Matthew G. Sparks on June 20, 2011 at 8:51pm
Permalink Reply by oneinfinity on June 20, 2011 at 2:34am
Permalink Reply by oneinfinity on June 20, 2011 at 3:25pm Started by G in Ethics & Morals. Last reply by Pope OoO (Out of Order) 13 minutes ago. 366 Replies 0 Likes
Posted by Rob Klaers on June 17, 2013 at 2:00am 5 Comments 3 Likes
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