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John and Mark throws dice, John starts at first, Mark goes next, then John........... If the dice turned out to be 5, John wins ;

John and Mark throws dice, John starts at first, Mark goes next, then John........... If the dice turned out to be 5, John wins ; if the dice turned out to be 2 or 3, Mark wins. The game can last to infinitely many turns until someone wins. What is the probability of Mark winning the game? (Mark throw a 2 or 3 before John throws a 5)

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