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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?

Cosy Corner

Age 11 to 14 Challenge Level:

A container holds $3$ red balls, $2$ blue balls and $1$ yellow ball.
The balls are identical in all ways except colour.
Shake the container, and look at how the balls settle in the triangle.

You win if at least one of the red balls is in a corner.

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Did you win?
Complete several shakes and look at your results.

Approximately how often do you think you would win if you completed $100$ shakes?
Make a prediction and then check it by doing the experiment.

Can you explain how to work out the theoretical probability of winning?

You may find these sheets useful if you want to work on paper or submit a solution.