# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

Author Message
Ghost Post
Icarian Member

 Posted: Mon Jul 31, 2000 6:12 pm    Post subject: 1 "switch!"...this seems logical, albeit countintuative... still, what's the flaw in this "50/50" argument: you and another contestant, X, play the same 3 doors simultaneously, neither knowing what the other does... obviously, if you both choose losing doors, the host can't open the winner...so the rules would have to be modified in this version... say, for example, play continues ONLY when one of you has picked the winner, and the other has picked a loser.... ok...you take A, X takes B, host opens C, a loser.. don't you both now want to switch, each eagerly coveting the door that the other of you equally eagerly wants to abandon?... so you trade doors willingly...how can EACH of you win 2/3rds of the time?...
Mercuria
Merc's Husband's Wife!

 Posted: Mon Jul 31, 2000 7:12 pm    Post subject: 2 the flaw is that 1/3 of the possibilities have been eliminated. if the prize is in the third, unchosen door, then the switch, in the monty hall problem, would have given them the prize. had they chosen the door that they did in that situation as a single player, they would have switched to the prize. therefore, 1/3, they switch and win, 1/3 they should switch and win, but the game is halted because of "technicalities."
Andy
Daedalian Member

 Posted: Tue Aug 01, 2000 7:51 pm    Post subject: 3 Here's an equivalent of this variation, with only one contestant... You pick two doors initially. If you picked both losing doors, Monty opens all three doors and you lose. If one of the doors you picked is a winner, Monty opens the third (losing) door. Now you must settle on just one of the two doors you picked initially, either winning or losing. Probabilities: Losing on first pick: 1/3 Getting to make second pick: 2/3 (duh!) losing on second pick: 2/3 * 1/2 = 1/3 Winning : 2/3 * 1/2 = 1/3. Same as just picking one door with no second chance.
 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year by All usersAndyGhost PostMercuria Oldest FirstNewest First
 All times are GMT Page 1 of 1

 Jump to: Select a forum Puzzles and Games----------------Grey Labyrinth PuzzlesVisitor Submitted PuzzlesVisitor GamesMafia Games Miscellaneous----------------Off-TopicVisitor Submitted NewsScience, Art, and CulturePoll Tournaments Administration----------------Grey Labyrinth NewsFeature Requests / Site Problems
You cannot post new topics in this forum
You can reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum