A domino piece can be placed on a 2 x 3 checkerboard in, Finance Basics

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A domino piece can be placed on a 2 x 3 checkerboard in

Question: A domino piece can be placed on a 2 x 3 checkerboard in seven different ways:

The first player places the domino and the second player selects one of the six squares. If the selected square is covered by the domino, then the second player wins; otherwise the first player wins. Is this game fair? What are the optimal strategies? Can you exploit the symmetries? How do your findings generalize to larger boards?

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