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probability - Expected number of coin tosses to land n 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. In reading about how to calculate the expected number of (fair) coin tosses to land n Heads in a row, using the equations produces the following: E(1|H)=2 𝐸 ( 1 | 𝐻 ) = 2 E(2|H)=6 𝐸 ( 2 | 𝐻 ) = 6 E(3|H)=14, 𝐸 ( 3 | 𝐻 ) = 14 , and so on. What I also noticed is that given the following probabilities of landing N he

probability - Expected number of coin tosses to land n 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 land n heads Ask Question Asked 11 years, 5 months ago Modified 11 years, 5 months ago Viewed 13k times 3 $\begingroup$ In reading about how to calculate the expected number of (fair) coin tosses to land n Heads in a row, using the equations produces the following: $$E(1|H) = 2$$ $$E(2|H) = 6$$ $$E(3|H) = 14,$$ and so on. What I also noticed is

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