55. A person continually flips a coin until a run of 3 consecutive heads appears. Assuming that...
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55. A person continually flips a coin until a run of 3 consecutive heads appears.
Assuming that each flip independently lands heads with probability *p*, determine the expected number of flips required.
HINT: Let *T* denote the first flip that lands on tails and let it be 0 if all flips land on heads, and then condition on *T*.
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