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#### checkittwice

##### Member

- Apr 3, 2012

- 37

(such as chess or checkers).

Suppose there are no ties/draws.

On average you beat player A 90% of the time in this game,

and on average you beat player B 10% in this game.

You will play three games in row, and each game will be

against one player at a time.

You will choose one of these scenarios:

1st game - - a game against player A

2nd game - - a game against player B

3rd game - - a game against player A

OR

1st game - - a game against player B

2nd game - - a game against player A

3rd game - - a game against player B

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Which scenario should you choose to have the greatest

chance of winning at least two games in a row?

*** ***

******This is adapted from a problem presented by Martin Gardner.