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It makes perfect sense, that is correct 1 has white and his deductive reasoning was right on the money. why are ppl making it so difficult? 1 knew if 3 saw two reds he woulda yelled the answer, he also knew that 2 (based on 3's non-rsponse) knws that 3 must see a white and red or a white and white, so if 1's banadana were red, he'd (2) would know he was white, but 2 had no response leaving only one conclusion that 1 and 2 both had white so 1 yelled WHITE! 2 couldn't answer because seeing 1's white he knows he could have either white or red.

7 Possibilities: RRW - the third can correctly state his colour as White RWR - if the third cannot identify his colour, the second knows his colour as White RWW - if the third cannot identify his colour, the second knows his colour as White WWW - the second and third do not know and do not speak; the first will know he MUST be white WWR - the second and third do not know and do not speak; the first will know he MUST be white WRR - the second and third do not know and do not speak; the first will know he MUST be white WRW - the second and third do not know and do not speak; the first will know he MUST be white

The person at the back would be able to say what color their headband was because if they knew how many headbands theer were then if they saw 2 red headbands then they would know that the color of theirs was white but if thay saw only 1 red in front but 2 whites and 1 red in front then you couldn't be quite sure what color anyones was.

Cheif can hide two band's in below combination only RR or RW or WW Cheif hide both white one i.e WW So now there remain two RR and one W so peron having White band can easliy identify that. So simple. If Cheif hide RW So now there remain two WW and one R in this case two who can see red will say they have got white since he cannot have "R" If cheif hide bot red i.e RR then we have three white bands So now if no body is answring means they all have white so after some time one can definetly answer white then one will easily say tha he has got White since Three Palefaces were taken captive by a hostile Indian tribe. According to tribe’s custom they had to pass an intelligence test, or die. The chieftain showed 5 headbands – 2 red and 3 white. The 3 men were blindfolded and positioned one after another, face to back. The chief put a headband on each of their heads, hid two remaining headbands, and removed their blindfolds. So the third man could see the headbands on the two men in front of him, the second man could see the headband on the first, and the first could not see any headbands at all. According to the rules any one of the three men could speak first and try to guess his headband color. And if he guessed correctly – they passed the test and could go free, if not – they failed. It so happened that all 3 Palefaces were prominent logicians from a nearby academy. So after a few minutes of silence, the first man in the line said: "My headband is ...". What color was his head band? Why?