Soccer League

Problem of the Week - December 11, 2023



In the Southwest Premier Soccer league the Armadillos lead the league with 102 points and the Bats are in second place with 100 points. Each team has two matches remaining in the season, neither against each other. A team earns 3 points for a match win, 1 point for a tie, and 0 points for a loss. If each match outcome (win, loss, or tie) is equally likely, what is the probability the Armadillos will win the league outright?

Problem submitted by Mike Schieffer, Austin, TX

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