View source for Playing with Probability - Efrons Dice/teaching approach

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.