a girl has one gummy bear in her hands, and a bowl of them on the table. she tosses a coin 6 times. if she gets heads, she takes a gummy bear from the bowl and if she tosses tails, she puts one back into the bowl. the deal is that if she ever has more than 1 gummy bear, the game immediately ends and she gets none at all; and if she ever tosses tails when she has no gummy bears, the game immediately ends and she gets none at all. what is the probability that she makes it to the end of the game and gets to keep her gummy bear?

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