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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?

Bipin's Choice

Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?

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?

Same or Different?

Age 7 to 11
Challenge Level

Anna and Becky were playing a game. They put one purple cube and two yellow cubes into a bag.

one purple and two yellow cubes

First Anna picked a cube out of the bag without looking, then Becky picked one out.
If the two cubes the girls picked out were the same colour, Anna won the game. If they picked out two differently coloured cubes, then Becky was the the winner.

Is this a fair game?
Explain your answer.

Thank you to Doug Williams from the Mathematics Task Centre Project for this problem. If you'd like to take this idea a bit further, look at In a Box.