# Expectations

You roll a standard six-faced-die and get $$n.$$ Then, you roll it again until you get a number greater than or equal to $$n$$.

The expected number of times you need to roll your die (after the initial roll) is of the form $$\dfrac{A}{B}$$ where $$A$$ and $$B$$ are co-prime positive integers.

Find $$A+B.$$

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