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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 on theme: "A nontransitive talk James Grime. Hi Jim, I was wondering if you can design a set of five non- transitive dice."— Presentation transcript:

1 A nontransitive talk James Grime

2 Hi Jim, I was wondering if you can design a set of five non- transitive dice

3 Non-transitive Dice >>

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

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

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

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11 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

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17 Non-transitive Dice

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