An unfair coin

For an unfair coin, if \(E(HH) = E(T)\), then what is \(E(T)\) to 3 decimal places?

Clarifications:

  • \(E(HH) \) denotes the expected value for the number of flips you would make before flipping 2 heads in a row

  • \(E(T) \) denotes the expected value for the number of flips you would make before flipping a tail.


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