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Do You Brush Your Teeth Every Day?

Age 14 to 18
Challenge Level Yellow starYellow star
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You might find it helpful to draw a two-way table, a Venn diagram or a tree diagram, in order to work out the proportions and any missing numbers.

For simplicity, assume that exactly $\frac{2}{6}$ of the die rolls land on a 5 or a 6.

If $T$ participants actually brush their teeth daily, how many of them tell the truth?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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