Non-transitive Dice

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Uploaded by on Aug 5, 2010

We describe a set of very unusual dice, and a two player game where you will always have the advantage.

For more see the full article here: http://singingbanana.com/dice/article.htm

More from David Spiegelhalter http://youtube.com/undunc

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Uploader Comments (singingbanana)

  • 1) Is there a real world aspect (beyond the games themselves) of investigating and classifying transitive vs non?

    2) Single, one direction; pair, opposite direction. What happens with triples, quadruples, etc. ?

  • @GetMeThere1 1. I'm really bad at justifying things using 'real life', but you can think of nature as a non-transtie chain. It is something we want to avoid in elections. There's probably something really convincing I can't think of.

    2. Patterns don't hold for triples etc. It's quite a balancing act, and these were carefully designed so a pattern held when you doubled the dice. But it's delicate so there's no particular pattern to what beats what after that.

Top Comments

  • but, us geeks dont have TWO friends, its hard enought ot find one that'll play with me

  • @thenosa87 He was trying to teach people how probability works. It isn't a competition.

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All Comments (146)

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  • @weldmaster80 poor geeks of yesteryear don't have friends while all other nerds do.

    It's important with friendship it will make you have something to do when not doing homework and someone else than your chainsmoking mother to entertain you while sick.

  • 7:23 ONE DIE

  • That is remarkably great shit. I'm imaging situations where I could have friends choose a color . . . though, I think they would catch on pretty quickly that I was screwing with them. Eventually, I fear they would challenge me to a true game of chance, and that's not what we what, is it? I guess it would be time to go, at that point!

  • The singular of dice is die... I just thought you ought to know.

  • Hi there, I was wondering how you designed these dice. Did you do it by trial and error or did you have a method? Thanks :)!

  • I love the red die from the Efron dice set. It's like it's been designed for fatalists.

    "Ah, you misthrown again! Could you be a bit more careful?"

    *rolling*

    "Three."

  • amazingly smart. wow

  • I like a die with four 5s and two 1s, a die with four 3s and two 4s, and a die with two 6s and four 2s. The odds work out differently, but the same rules apply with both sets of one and two dice. I wonder how many different sets of these dice can be made.

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