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probability - Expected Number of Coin Tosses to Get Five Consecutive Heads - Mathematics Stack Exchange

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Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Ask questions, find answers and collaborate at work with Stack Overflow for Teams. Explore Teams Teams Q&A for work Connect and share knowledge within a single location that is structured and easy to search. A fair coin is tossed repeatedly until 5 consecutive heads occurs. What is the expected number of coin tosses? Let e 𝑒 be the expected number of tosses. It is clear that e 𝑒 is finite. Start tossing. If we get a tail immediately (probability 1 2 1 2 ) then the expected number is e+1 𝑒 + 1 . If we get a head th

probability - Expected Number of Coin Tosses to Get Five Consecutive Heads - Mathematics Stack Exchange Stack Internal Knowledge at work Bring the best of human thought and AI automation together at your work. Explore Stack Internal Expected Number of Coin Tosses to Get Five Consecutive Heads [closed] Ask Question Asked 13 years, 3 months ago Modified 9 months ago Viewed 189k times 124 $\begingroup$ Closed. This question does not meet Mathematics Stack Exchange guidelines . It is not currently accepting answers. Please provide additional context , which ideally explains why the question is rel

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