# 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
Antrax
ESL Student

 Posted: Fri Jul 23, 2010 6:34 am    Post subject: 1 I was actually a bit surprised that I haven't heard of this one until recently, it seems like a natural extension of the many other hat puzzles (one I asked about a while ago, in particular). So, 10 people, 10 hats. Each hat has a single digit on it, digits can occur more than once. Let people confer, place hats on heads, every person guesses what digit the hat on his head bears without hearing other guesses and if at least one of them guesses correctly, profit. What's the winning strategy?_________________After years of disappointment with get rich quick schemes, I know I'm gonna get rich with this scheme. And quick!
ralphmerridew
Daedalian Member

 Posted: Fri Jul 23, 2010 11:53 am    Post subject: 2 Thought I mentioned this as a generalization: Beforehand, each person picks a different digit from 0 to 9. After they receive the hats, each assumes that digit is the last digit of the sum of all hats, and calculates what number is on his/her hat under that assumption. Exactly one of them will be right.
Antrax
ESL Student

 Posted: Fri Jul 23, 2010 6:46 pm    Post subject: 3 Yeah, that's what I had as well. I thought it was cute, especially because I got to it from a much more complicated "iterative guessing" algorithm._________________After years of disappointment with get rich quick schemes, I know I'm gonna get rich with this scheme. And quick!
 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year by All usersAntraxralphmerridew 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

Powered by phpBB © 2001, 2005 phpBB Group
Site Design by Wx3