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'Diagonal Dodge' printed from http://nrich.maths.org/

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This text is usually replaced by the Flash movie.

Here is a game for you to play with a friend. Try playing it a few times.

Can you find any ways to help you win?
Do you think both players have got an equal chance of winning? If not, why not?

The object of the game is for the red counter to get past the four blue counters on the grid below.

How to play:

  1. Choose which colour counters you will both have. One person must take the single red counter, the second player has the four blue counters.
  2. The players take it in turns to move a counter. All counters must stay on the black squares of the board and can only move one square at a time. The red counter may move backwards and forwards, but the blue counters can only move forwards (up the screen).
  3. If the red counter manages to get past the blue ones, then red is the winner. If a player is unable to move any of their counters, they have lost.