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You and your friend are flipping fair coins until each gets the heads outcome. What is the prob- ability that the total number of flips

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You and your friend are flipping fair coins until each gets the "heads" outcome. What is the prob- ability that the total number of flips is 5? Bonus points if you find a general answer for probability of n total flips. Hint: introduce random variables representing the number of flips each of you has to make individually, then find the PMF of their sum

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