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The Better Choice

Age 14 to 16
Challenge Level

Here are two games you can play. If you played both games the same number of times, in which game would you expect to win more points?

Game 1:

In every round you flip four coins and win 3 points if you get two heads and two tails 


Game 2:

In every round you spin three 1 - 6 spinners and win 2 points for every six that appears


The interactivity below allows you to simulate both games (including versions in which it 'costs' a point to play each round).

Can you explain the result of playing each game a large number of times?