Author: Uri Blass
Date: 14:07:57 09/27/02
Go up one level in this thread
On September 27, 2002 at 16:17:02, Gerrit Reubold wrote: >On September 27, 2002 at 16:04:45, Uri Blass wrote: > >>On September 27, 2002 at 15:40:07, Gerrit Reubold wrote: >> >>>On September 27, 2002 at 15:04:26, Uri Blass wrote: >>> >>>>On September 27, 2002 at 14:40:09, Gerrit Reubold wrote: >>>> >>>>>Uri, >>>>> >>>>>I think your model of the game is not a model of the situation which I am >>>>>discussing. >>>>> >>>>>Suppose you and me are playing the following game (f.ex. by email). >>>>> >>>>>1. I, the host, take an empty chessboard and put a single king one one of the >>>>>squares. Trust me that I don't cheat. You send me your guess which square this >>>>>might be. >>>>> >>>>>2. I assume you, the candidate, guess it is a1. >>>>> >>>>>3. I give you a hint: >>>>>The square is not one of >>>>> b1 c1 d1 e1 f1 g1 h1 >>>>>a2 b2 c2 d2 e2 f2 g2 h2 >>>>>a3 b3 c3 d3 e3 f3 g3 h3 >>>>>a4 b4 c4 d4 e4 f4 g4 h4 >>>>>a5 b5 c5 d5 e5 f5 h5 >>>>>a6 b6 c6 d6 e6 f6 g6 h6 >>>>>a7 b7 c7 d7 e7 f7 g7 h7 >>>>>a8 b8 c8 d8 e8 f8 g8 h8 >>>>> >>>>>(Note that it is no difference if I suddenly forgot on which square the king >>>>>stands, I decide to look only on the given 62 squares and, surprise, all of them >>>>>are empty.) >>>> >>>>It is important if you know where the king is. >>> >>>No. >>> >>>> >>>>Suppose for the discussion that you also do not know where the king is >>>>so you always expose all the squares except a1 g5 after >>>>I choose a1. >>> >>>No. I look at 62 random squares, excluding a1. >>> >>>> >>>>Suppose that we start to play 64000 games(most of them are >>>>not played because you discover the king >>>>in one of the 62 squares). >>> >>>No. We play only this single game. We might play again and my hint will likely >>>be different, maybe all squares except a1 and f8. >>> >>>Do you think it is a difference whether I forgot where the king is (I would have >>>told you "game over" if I accidently looked at a square with the king on it) or >>>whether I know the square of the king. >> >>Yes >>Suppose you do not know the square of the king. >> >>Suppose that for every square x(not a1) we play 64000 games when you choose >>square x. >>In these games the king is in square y in 1000 games for every square y. >> >>I claim that I can expect 62000 games out of every 64000 games to be canceled >>because the king is exposed(not in x and not in a1). >> >>I expect to win 1000 games out of 64000 games(the 1000 games when the king is in >>a1) and I expect to lose 1000 games out of 64000(the 1000 games when the king is >>in square x). >> >>The same hapen for everyone of the 63 squares that you can choose and I expect >>to win 63000 games and to lose 63000 games. >> >>Uri > >One question: > >Do you agree: If the host knows the solution (the door with the car, the >position of the king, ...), the candidate should switch? > >Greetings, >Gerrit Yes
This page took 0 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.