Two and one

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
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Problem



Two children are playing a game with three balls, two blue ones and one red one.

Terry is red and Ali is blue.

 

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Two and One



They toss up the balls, which run down a slope so that they land in a row of three, like this:

 

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Two and One



The colour in the middle wins that round. Is this a fair game?

Who do you think will win?

Why?

Try using the interactivity below to get a feel for the game. (The sum column tells you how many times Terry has won so far.)