A nontransitive talk James Grime. Hi Jim, I was wondering if you can design a set of five non- transitive dice.

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Presentation transcript:

A nontransitive talk James Grime

Hi Jim, I was wondering if you can design a set of five nontransitive dice

Non-transitive Dice >>

Hi Jim, I was wondering if you can design a set of five nontransitive dice such that, A > B > C > D > E > A

Hi Jim, I was wondering if you can design a set of five nontransitive dice such that, A > B > C > D > E > A and, A > D > B > E > C > A

Hi Jim, I was wondering if you can design a set of five nontransitive dice such that, A > B > C > D > E > A and, A > D > B > E > C > A

A Gambler’s Game Two versus one Play 100 rolls Win = Win £1 Lose = Lose £1 Beat both opponents 43.8% Lose to both opponents 22.7% Net Profit: £42

Non-transitive Dice