# Toss It Til You're Convinced!

You have an unfair coin. The probability it will land on heads is $$\dfrac23$$.

The expected value for the number of coin flips it will take to get 3 heads in a row can be expressed as $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

What is $$a+b$$?

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