# 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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