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Suppose You Play a Coin Flipping Game with a Friend

Question 46

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Suppose you play a coin flipping game with a friend in which a fair coin is used.If the coin comes up heads you win $1 from yourfriend, if the coin comes up tails, your friend wins $1 from you.
You have $3 and your friend has $4.You will stop the game when one
of you is broke.Determine the probability that you will win all of your friend's money.

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