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Roll These Dice

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Trick or Treat

Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?

A Bit of a Dicey Problem

When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?

Bipin's Choice

Age 7 to 11
Challenge Level

Why do this problem?

Probability is a difficult concept and questions such as this, which invites discussion, can help children to get to grips with the difference between a calculated result (theoretical probability) and what actually happens (experimental probability). Playing the game with a bag full of coloured balls can help to make the link.

Key questions

The first ball taken out is a red one, how many balls of each colour are left?
What is the chance of picking another red ball?
What is the chance of of picking a yellow ball?
If you had won some money and could lose it by playing again, would you stop playing? Why?

Possible extension

Make up a similar question with different numbers of coloured balls. Are there any combinations of colours that would make it clear what to do? Why?

Possible support

Playing the game with a bag full of coloured balls and discussing the possible outcomes can help to make the link. Talk is really important in understanding probability.