In this Nuffield probability activity students play a bingo-style game. To maximize their chances of winning, students must decide which numbers are most likely to occur when three dice are thrown and the scores are added.

The key processes developed in this activity are:

*Representing - identifying the mathematics involved in the task and developing an appropriate representation.

*Analysing - working systematically, identifying patterns and making generalisations.

*Interpreting and evaluating - considering findings, forming conjectures, justifying findings and considering validity of theoretical model.

*Communicating and reflecting - explaining approaches taken at each stage of the work, considering experimental and theoretical models.

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