Fifteen is the goal

Discrete Mathematics Level 3

Satvik and Agnishom are playing a game. There are a set of nine Cards numbered from 1 to 9.

The two take turns to select and pick up a numbered card of their choice. Satvik goes first, picks up a card, then Agnishom picks a remaining card and so on.

The first player to make a set of 3 cards that sums up to 15 wins the game.

Assuming optimal strategy by both the players, what is the percentage probability that this game ends in a draw?


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