Jane StreetTrader InternQuant Trader InternQuestion #309

There are 4 players in a game, each rolling a standard die. The player with the largest value and the player with the smallest value form one team; the remaining two players form the other team. The winning team is the one with the larger sum of their dice values, and their payoff is the difference between the team sums. Analyze the expected payoff of the winning team.

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