KöMaL 2026 B5551

Alma and Barni play the following game on a unit square: first Alma chooses a unit line segment that is parallel to a side of the square and has no points outside the square. Subsequently, Barni chooses a point on the line segment. They repeat this two more times, resulting in three chosen points. Alma wins, if the area of the triangle created from the three points is at least $0.01$, and Barni wins if the area is less than $0.01$. Which player has a winning strategy?