In Game A you pick out two balls at random from a bag containing balls numbered 2, 3, 4, 5 and 6.. If the total is even you win. If it is odd you lose. Are you equally likely to win or to lose (a fair game)?

Games B, C and D use the numbers shown and the rules are the same.

Which set of balls would you choose to give yourself the best chance of winning?

Can you find a different set of numbers to make this a fair game?

To do your own experiments, either use number cards to play the games and pick 2 cards at random each time, or see http://nrich.maths.org/4308 to do interactive computer simulations of these games.

Click here for Notes for Teachers.

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