the probability that you get heads on any given toss is 0.5, since the flips are independent events, the probability of getting two heads consecutively is (.5)(.5)= 0.25=(1/4) thus you would expect to have to flip four times before you would get two consecutive heads.

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Interview Question for Private Wealth Management at Goldman Sachs:

flip a fair coin, what is the expected number of times one need to flip to get two consecutive head.

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