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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

This is the kind of problem where it helps to have someone to talk about your ideas with. Catherine, Ruyi, Elle and Ebony from Annesley College, Adelaide, Australia worked in pairs and decided that although Bipin was taking a risk, he should choose to play again. Here's one of their reasons:

Bipin should play again because he has a four in nine chance of getting a red ball (this doubles his money). He has a three in nine chance of getting a yellow ball (this makes him lose all of his money) and a two in nine chance of getting a blue ball (this gives him another chance of drawing another ball).

This means that he has a greater chance of doubling his money. (Catherine)