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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.