Hats
There are 3 black hats and 2 white hats in a box. Three men (we will call them A, B, & C) each reach into the box and place one of the hats on his own head. They cannot see what color hat they have chosen. The men are situated in a way that A can see the hats on B & C's heads, B can only see the hat on C's head and C cannot see any hats. When A is asked if he knows the color of the hat he is wearing, he says no. When B is asked if he knows the color of the hat he is wearing he says no. When C is asked if he knows the color of the hat he is wearing he says yes and he is correct. What color hat and how can this be?
posted by Foobar @ 10:44 AM
1 Comments:
A can see B & C and he doesnt know what he himself is wearing => possible combitnations for B n C are
B C
------
B B
B W
W B
B can see what C is wearing, also that A doesnt know what he's wearing, yet he cant make out what he's wearing.
C knows that both A n B dont know what they are wearing => C should be black. coz if he wudve been white, B wudve come to know that he's black. if he dint know => C is black.
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