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The Better Choice

Age 14 to 16
Challenge Level

Game 1:

Imagine the four coins appear in a line, for example H T H H.
How many arrangements like this are there?
In how many cases would you win 3 points?

If you played the game a specified number of times (e.g. 16 or 32 or 64 times), how many points would you expect to win?


Game 2:

You could get three sixes.
If you got three sixes, how many points would you win?
How often might you expect that to happen?

You could get two sixes.
If you got two sixes, how many points would you win?
How often might you expect that to happen?

What else could you get?

If you played the game a specified number of times (e.g. 216), how many points would you expect to win?