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We are used to the idea of transitivity, where we can ascribe an order to events. Efron’s dice are non-transitive and probability methods that the pupils are familiar with can be used to explore how to play a game using them. This provides a {{ | We are used to the idea of transitivity, where we can ascribe an order to events. Efron’s dice are non-transitive and probability methods that the pupils are familiar with can be used to explore how to play a game using them. This provides a {{teachtag|discussion}} topic for joint {{teachtag|reasoning}} - {{teachtag|whole class}} or in {{teachtag|group work}}. Pupils can explore aspects of {{teachtag|mathematical thinking}} particularly with relation to probability. |