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Tania and Derek are playing a game with a dice.
They roll the dice. If the number is odd, Tania wins that round.
If the number is a six, Derek wins.
(It doesn't matter who throws the die.)
Who is more likely to win the game? Why? How could you make the game fair?
You could introduce this problem either by having two children come to the front to play it. Whichever way you choose, play the game a few times and record the outcomes on the board. Ask the class to predict what would happen if the game was played many times, for example $100$ times. Take suggestions from the children, looking out for those who justify their answer based on the few games which have already been played.
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?
All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?