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Dice trolling

Description

The six workers in this office have an original method of deciding who makes the tea every day. Everyone has a number, and a dice is rolled to decide, but Gareth thinks the dice is biased against him – he seems to be making the tea far too often. A graph is used to record the outcomes over several weeks and slowly a pattern emerges. The relative frequency of each number stabilises and Gareth was right - the dice is biased but not quite in the way he thought!

Classroom Ideas

Students could devise and conduct their own class experiments and tabulate and graph the relative frequencies in order to estimate a probability. This could be followed by a discussion on situations where relative frequency is a suitable/unsuitable method of estimating probability.

Statistics

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