Mortal Kombat

Danielle, Lilliana, and Melody play a fighting video game in tournament mode. In this mode, two players play a match, and the winner of the match plays a new match against the player who was sitting out. This continues until a player wins two matches in a row. Danielle and Lilliana play the first match.

If they are all equally skilled at the game, then what is the probability that Melody will win the tournament?

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