Prisoner P4 is put behind a screen. Pretty similar line of logic. The prisoners know that there are only two hats of each colour. Is there a model of ZFC that can define a "longer" model of ZFC to which it is isomorphic? Since permutations 1-3 are ruled out, the correct answer must be 4, 5, 6 or 7. here. Quite a well-know riddle, along with others that are similar.... 1,2,3 are Prisoners. Do they give free tapas in Granada, Spain? Java: Are objects of the same type as the interface implemented? Also, every prisoner thinks logically and knows that the other prisoners think logically as well. So if C observes that A and B have hats of the same colour, C would deduce that his own hat is the opposite colour. JavaScript is disabled. If Jesus is the "true" vine (anti-type), who or what is the "untrue" vine (type)? The second doesn't know as well. Very simple! What’s the difference between a male lion and a female? How to find the sum of that series related to Legendre functions of second kind? Where is the best place to exchange money in Granada, Spain? So, it’s always good to clarify what assumptions there are with problems like these, especially if you find yourself stuck and unable to provide the answer to the riddle. ________________________________________________________________. Granted, it’s the only way that the blind prisoner can be right, but it wasn’t obvious we were guaranteed that. There were three prisoners in certain jail, one of whom had normal sight, one of whom had only one eye, and the third of whom was completely blind. But in this case person 1 will stay quiet. If the two front hats were black, the third wise man would have called out the colour of his hat as white immediately. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. Does Pentagon know where every satellite is? C++ “Diamond Problem” of Multiple Inheritance. Hence, after hearing that B will be executed, the estimate of A's chance of being pardoned is half that of C. This means his chances of being pardoned, now knowing B is not, again are 1/3, but C has a 2/3 chance of being pardoned. The only permutation where the 3rd prisoner could have a RED hat and the 2nd prisoner NOT have a WHITE hat is permutation 1, which is already ruled out already in (1). From these five hats, he selected three and put one on each of the prisoners’ heads. 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. That is, if the 3rd prisoner has a RED hat, the 2nd prisoner would know that either permutation 2 or permutation 3 is correct, and either way, his hat must be WHITE. Advanced PHP Interview Questions And Answers, Advanced PHP Interview Questions And Answers Part 2, Advanced PHP Interview Questions And Answers Part 3, How to return an array from a PHP function, Data Structure Interview Questions and Answers, How to find if a linked list is circular has a cycle or ends, Find nth to last element in a linked list, Delete a node in the middle of a singly linked list, Design Pattern Interview Questions and Answers, Cut and paste versus copy and paste in Excel. Silence doesn't count as a wrong answer, but at least 1 person has to give the right answer, and nobody can give a wrong answer. Hiring? If You Put System.exit(0) on Try or Catch block, Will Finally Block Execute? Does Google return different results for phones? Here’s a logic puzzle I like to give my students: _____ There were three prisoners in certain jail, one of whom had normal sight, one of whom had only one eye, and the third of whom was completely blind.

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