A Fair Payout

Discrete Mathematics Level pending

I organize a game between 2 equally talented players, Arya and Bran, consisting of 5 rounds. The first person to win 3 rounds will win $120.

Suppose that the game was interrupted at the end of the third round, with Arya leading 2-1. We would like to split the prize in a fair way between these two players. How much should Arya get?

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