this is a logic puzzle
alan, ben, and cal are seated face to back with their eyes closed. three hats are placed on their head from a box they know contains 3 red and 2 blue. they open their eyes and look forward.
alan says 'i cannont deduce what color hat i'm wearing'
hearing that ben says i cannot deduce what color hat i'm wearing either'.
carl then says' i know what color hat i'm wearing.
how does carl know what color hat he is wearing.
2007-09-11 12:27:08 · 6 answers · asked by jennifer w 1 in Education & Reference ➔ Homework Help
alan and ben both have blue hats ?
If all three can see each other, and one of alan and ben has a blue hat, then carl knows that he doesn't. (Probably alan - alan sees two red, doesn't know; ben sees one red one blue, doesn't know - so carl is sure he has red.)
2007-09-11 12:43:59 · answer #1 · answered by Beardo 7 · 0⤊ 0⤋
if the others are both wearing blue hats, then carl can deduce that he is wearing red becaus ethere are only 2 blue hats... but other than that i don't know
2007-09-11 19:33:50 · answer #2 · answered by that-one-girl-with-nice-hair 3 · 0⤊ 0⤋
if they are seated face to back then Carl is probably the one who is at the back so when he opens his eyes he can see the two hats his friends are wearing.
2007-09-11 19:34:47 · answer #3 · answered by proswimma06 3 · 0⤊ 0⤋
because he can see the other peoples hats and there color
2007-09-11 19:38:37 · answer #4 · answered by ali 2 · 0⤊ 0⤋
Is this a trick question????
2007-09-11 19:40:59 · answer #5 · answered by Anonymous · 0⤊ 0⤋
um....ah....oh, I know...7!!!!
2007-09-11 19:33:21 · answer #6 · answered by someoneelse04 4 · 0⤊ 0⤋