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Stop or Dare

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.

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Snail Trails

This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in a straight line. Move only vertically (up/down) or horizontally (across), never diagonally. You can cross over the other player's trails. You can trace over the top of the other player's trails. You can cross over a single trail of your own, but can never cross a pair of your trails (side-by-side) or trace over your own trail. To win, you must roll the exact number needed to finish in the target square. You can never pass through the target square. The game ends when a player ends his/her trail in the target square, OR when a player cannot move without breaking any of the rules.

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Game of PIG - Sixes

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

Can't Find a Coin?

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Why do this problem?

In the context of trying to "fool the teacher", students may find that it is hard to make up the results of an experiment in a mathematically convincing way.

Possible approach

This might be a good start/end to a probability lesson, or a regular start/end to a series of lessons. Individual students could enter data 'live' on an interactive whiteboard, with the class anticipating whether the 'teacher' will be fooled.

Key questions

It could lead to good discussions
- why it is hard to imitate a 'memoryless' random experiment,
- developing a series of tests to check whether data are random.

Possible extension

Take a look at Introducing Distributions