Report in New Logic/Math Puzzles Posted May 12, 2009 · Edited May 12, 2009 by bushindo I misread the OP on the Prisoner on a death row problem ( http://brainden.com/forum/index.php?showtopic=8355 ), and thus solved a completely different problem. This is that problem. The initial conditions are the same as kidsrange's There are 100 prisoners who are sentenced to die tomorrow. However, the warden has decided to give them a chance to live. He will put each of their names on a slip of paper inside an opaque, numbered (from 1-100) jar. Each prisoner will be able to open 50 jars in order to try to find their name. The prisoners will each do this individually, and in sequential order. 1) Each prisoner does not have to open the 50 jar sequentially. Each prisoner can remove the 50 slips from the jar and place them back in any order he desired. However, at the end, each jar must contain exactly 1 slip and no modification can be made to the jars' appearances, placement, orientation, etc. 2) After open and closing the 50 jars, each prisoner can select the jar that he thinks contain his name. That jar is not removed from the game. After this, the prisoner will be moved to a new room and have no communication with the ones who have yet to make their selection. At the end of the selection process, prisoners who correctly identify their jar will live, and those who don't will die. Devise a strategy to save, on average, the maximum number of prisoners.