Hex

Rules of Hex
Courtesy of Wikipedia

Players have two colors, say "Red" and "Blue" (the colors are conventional and may vary from version to version).
They take turns placing a piece of their own color on a hexagon. Red's goal is to form a red path connecting two opposite
sides of the parallelogram, and Blue aims to connect the other two sides. Each of the four hexagons in the corners belong to
two sides.

The first player in the queue will be able to place a red piece anywhere on the board they like. After this, the second player
will be able to choose to play red or blue. This provides complete statistical fairness.