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2016 AMC 12B Question 19

AMC12 · 2016 AMC 12B

Question 19

Tom, Dick, and Harry are playing a game. Starting at the same time, each of them flips a fair coin repeatedly until he gets his first head, at which point he stops. What is the probability that all three flip their coins the same number of times?
  1. $\dfrac18$
  2. $\dfrac17$
  3. $\dfrac16$
  4. $\dfrac14$
  5. $\dfrac13$