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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?

The Mean Game

Edward Wallace based his A Level Statistics Project on The Mean Game. Each picks 2 numbers. The winner is the player who picks a number closest to the mean of all the numbers picked.

Very Old Man

Is the age of this very old man statistically believable?

Probably a Code?

Age 16 to 18 Challenge Level:

This is an extended challenge suitable for keen groups or individuals, maths clubs and optional homework challenges.

 

With a very enthusiastic class you might wish to collectively discuss possible approaches to this difficult problem and suggest an experimental (i.e with a computer or spreadsheet) approach to the students if they wish to try it in their own time.