In a custom board game, two players, Kevin and Maya, roll their respective biased dice simultaneously in sequential rounds until a winner is decided. Kevin rolls a "Star" with a probability of 1/3, while Maya rolls a "Star" with a probability of 2/7, independent of each other. A player wins the game immediately in any given round if their die lands on a "Star" while the opponent's die does not. Conversely, if both players roll a "Star" or if both fail to do so, the round is declared a draw and they proceed to an identical next round. The probability that Maya ultimately wins the game is: