All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Who pinched the dice? (Posted on 2018-10-04) Difficulty: 3 of 5

My friends and I wanted to play Monopoly, but the dice were missing from the game.

Searching our pockets, we had 4 coins between us, all different: 10c, 50c, $1, and $2.

How can we best emulate a pair of dice with these coins, assuming that they are fair?

No Solution Yet Submitted by broll    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Why this is difficult | Comment 9 of 10 |
(In reply to Why this is difficult by Jer)

The question was actually about 'best' emulations.

There ia an issue about emulating the dice together or separately, and another, as you have rightly noted, about throwing out results. I could have telegraphed these points in the question, but I didn't want to limit possible approaches.

On the face of it, emulating the dice together is preferable, as it wastes less throws. Throwing out as few as possible results also wastes less throws.

The sort of lines I was thinking along were something like this https://www.youtube.com/watch?v=hBBftD7gq7Y (emulating 2 dice with 3 dice) and this https://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_medium;action=display;num=1257524303

Stack exchange also discusses various similar problems, usually with identical coins, or coins one of which is biased.


Edited on October 5, 2018, 12:50 am
  Posted by broll on 2018-10-05 00:45:25

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information