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Consider a game board consisting of a square with side L and a circle of radius R randomly positioned within the square so that it

Consider a game board consisting of a square with side L and a circle of radius R randomly positioned within the square so that it is completely contained within the square. You are offered to play the following game:

1. In order to play you need to pay fee C1.

2. You are positioned in front of the board, blindfolded and the board is then rotated.

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