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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?

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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

Simone sent us her work on this problem:

I tried playing this game with my partner at school, and he won much more often than me. He won if the colours were different, and I won if the colours were the same.
I think this is because there are three different pairs that could come out when we take the cubes out: it could be purple yellow, or yellow yellow, or yellow purple. Each one is just as likely. But Becky wins on two of these, and Anna only wins on one. So the game isn't fair.

Well done, Simone.  I wonder how you know that all three of the possibilities are equally likely?