The solution is pretty simple. This is the page that has the ANSWER. ( Log Out / Therefore, the 3rd prisoner’s hat must be WHITE. This means person 1 has no way of knowing which hat they have. Also, every prisoner thinks logically and knows that the other prisoners think logically as well. It only takes a minute to sign up. Change ), You are commenting using your Google account. 3 W W R What share does Mark Zuckerberg own of Facebook? How to delete an element from an array in php? Difference between a left outer join and right outer join? Very simple! If the two front hats were black, the third wise man would have called out the colour of his hat as white immediately. Why don’t C# and Java support multiple inheritance? There's no answer to this that'll guarantee their freedom 100% of the time. Difference between a buffalo and a bison? Find continuous sequence with largest sum, How to find the number of downloads for an app – iTunes, Rank Sets in order of their intersections, Financial Analyst interview questions and answers, Financial Analyst interview Questions and Answers Part 2, How to prepare for a software engineering interview, Should I Expect Less Salary After Not Working. rev 2020.10.30.37923, The best answers are voted up and rise to the top, Puzzling Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Black and White Hats Puzzle - Three prisoners, Four prisoners wearing black and white hats, Knowledge about common knowledge (hats puzzle), 100 black hats and 99 white hats (Is my solution wrong?). ( Log Out / If the last man sees two black hats in front of him, he would inmediately know his hat is white, as there are only two black hats in the lot. He has five hats. Change ), You are commenting using your Facebook account. What anti-asteroid measures can we take now, or in the near future, if we faced an alien invasion? The third prisoner has no eyes. If any prisoner can tell with 100% accuracy which hat they have on their own head, all 4 of them go free. The jailer liked to play tricks on his prisoners, so one day he brought them all three out and had them stand in a line. Whats the difference between a nonstop and direct flight? This is a logic puzzle. Java: Are objects of the same type as the interface implemented? I then took a forced starting point that if 1 saw RY, then W R Y is a win, and B R Y is a loss (a 50/50 split). The middle guy has no information about his hat, as we know. Suppose that the rear man sees his two friends wearing two white hats. Java: What’s the difference between equals() and ==? Two could remain silent, and let the third guess. Four prisoners named P1, P2, P3 and P4 are arrested for a crime, but the jail is full and the jailer has nowhere to put them. How much of the world’s land is covered by desert? Review of the Danubius Hotel in London, Regents Park. [recaptcha class:g-recaptcha size:compact]. This is a logic puzzle. Job Hunting? 6 R R W Ok, here's the riddle: There are three prisoners. Were I the blind prisoner, I certainly wouldn’t stake my life on the proposition that two other prisoners had both thought through a mildly tricky logic problem and determined they didn’t have enough information, as opposed to missing the clues and playing it safe. But in this case person 1 will stay quiet. Where is the best place to exchange dollars to pounds in London? "RY - W" means if the prisoner sees a Red and Yellow Hat, write White. The sighted man could not tell what color hat he wore, and declined to answer. What plant did the Egyptians use for writing? 5 R W W Prisoner P1 can see P2 and P3. What trees are used to make cricket bats? Prisoner P4 is put behind a screen. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. No communication between the prisoners is allowed. Therefore, he does not see a RED hat on the 3rd prisoner. What planets have been visited by spacecrafts? Knowing this, three smart men go into the closet, and each selects a hat in the dark and places it unseen upon his head. If they succeed, they go free. Is it normal for cats to periodically vomit dry food? They can seem unfair because they're based on chance, but they could still make for a fun challenge. Now, the middle man knows that, if the guy in front of him is white, he (the guy in the middle) cannot be white. Answer to Riddle #12: Three Men and Red & Blue Hats. Is array access in Java expensive compared to C++? What’s the difference between a class variable and an instance variable? The first one has two eyes. Gaining a new type of movement speed after being hit by a Sentinel OA. Communication isn't allowed in any form. My solution is half way through. Why was there no 32bit or 64bit versions of M68000 & 65xx line of CPUs? ANSWER: The blind prisoner’s hat is WHITE. Am I a dual citizen? There is a similar question here but with four prisoners. Does Coca Cola come from same plant as cocaine? The second doesn't know too. Since permutations 1-3 are ruled out, the correct answer must be 4, 5, 6 or 7. How to get the radio code for an Acura TSX? Puzzle about a closet containing red and blue hats and three smart men who are able to tell which hat they are wearing. The jailer puts 3 people in a line, and the fourth behind a wall. With this knowledge you should answer as follows: If you see two of the same hats, answer the opposite color. Prisoners and hats is a logic puzzle based on inductive and deductive reasoning, depending on which prisoner you are. The hats are given randomly, and there's no maximum amount of hats of any color. Who first realized earth circles the sun? So, let’s instead focus on prisoners X and Y. Minimum guesses to find a # from 1 to 1000, Measure weight of an elephant with no scale, Rope Bridge Puzzle Four People One Flashlight. Laughing, the jailer offered the blind man the same terms as the others. Yes, obviously, it presumes the perfect rationality of all three prisoners, but it isn’t meant to be an illustration of human nature, so much as an exercise in pure logic. Should I bring copies of my resume to an interview? Why is Blackberry also called Crackberry? here. If the first hat were black, and the third man did not call out any colour, the second wise man could deduce that his hat was white. The prisoners know that there are only two hats of each color. What is the world’s worst smelling flower? The second, seeing a white hat, deduces that he is black and answers. However, if P2 and P3 have hats of different colors, then P1 will not be able to guess correctly. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. And so he won his freedom. But I am not able to understand the logic. (3) To sum up, the 1st prisoner’s ignorance rules out permutation 1. Is a restart to Apache required after a change to .htaccess file? Not really heavy into the math, but a challenge in logic. If he can look at the 3rd, then the 1st, he knows his hat must be white. ^.^ The second has one eye. Each prisoner can only see the hat of the people in front of them, assuming there is somebody there. Can I go to Japan, where I was born? Does Google return different results for phones? ( Log Out / The silence of prisoner X means that prisoner Y will know that prisoner X must be seeing both a white hat and a black hat – and one of those hats is the one that prisoner X is wearing. Is this photo of a road detouring around a tree authentic? Now, how do I proceed to determine the color of the hat of the front prisioner? How the prisoners can escape, regardless of how the jailer distributes the hats? How to password protect a file in .htaccess, How to disable password protection in .htaccess, How to password protect a directory using .htaccess.
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