Question: A game is played between two players. A single fair six-sided die is rolled. The game ends when one of the players rolls a 6.

A game is played between two players. A single fair six-sided die is rolled. The game ends when one of the players rolls a 6. Determine the probability that player one wins the game. Hint: This is a geometric distribution with probability of success of p=1/6. Obtaining your answer will involve finding the sum of an infinite geometric series.

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