What color?

Logic Level 2

There were once three fugitives that was caught in the act of crime. When they arrived to prison all the cells were already full. So the warden though of an idea, "I'll line you three rascals up. The tallest at the back of the line and the shortest at the front. The last one'll be at middle." He then brought out a box which everyone could see that there were five hats inside, three white ones and two red ones. The warden fit one hat for each of the prisoners without any of them seeing what color it was. "The game is simple. All you have to do is guess the color of your hat. You can say either, "I don't know." or the color of your hat. If you get it wrong you all die and if you say anything else besides those things, or all of you can't answer at all, all of you still die. If you get it right, you get out of here." They were all facing the same direction and lined up in such a way such that the one at the back can see the color of the hat of the people in front of him and the one in the middle, the same while the one in front directly sees a brick wall.

Warden:"You! What color is your hat?" Prisoner 1:"I don't know." Warden:"You in the middle. What about you?" Prisoner 2:"I don't know." Warden:"I bet you can't guess yours, seeing nothing and all. So what's you color?"

The prisoner in front says his color correctly and they all walk free. What was his color?

There was a mirror! Or maybe it was telepathy! Red Insufficient information White

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1 solution

Roy Nicolo Narag
Jul 28, 2015

P1 = Prisoner at the back P2 = Prisoner in the middle P3 = Prisoner at the front Because if P1 sees both of the hats in front of him as red, then his hat should be white, but as he said that he didn't know, that alerted P2. That means one, or both, of P2 and/or P3 is/are wearing white. So P2 thought that if P3 was wearing red he should be the one wearing white because at least one of them should wear white; but since he said that he didn't know, that alerted P3 that he should be wearing white because that's the scenario that would confuse P2. Plus, there is a secondary solution, and it's actually more of sidetracking. I want to see if anyone could think about it. It still leads to white though.

Your description of the answer (correctly) states it as white but it marks red as the correct answer.

Daniel Ryan - 5 years, 10 months ago

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