# Self-referencial hint.

Discrete Mathematics Level 4

You are working hard on a probability question, but have no clue on how to solve it. Your friend who has already found the answer provides you with the following accurate hint:

The answer to that question is the probability that the answer is 1.

You are now left with $$N$$ possible answers to that question, just from your friend's hint. Assuming you pick one of the $$N$$ answers randomly, the probability that your answer is correct can be expressed as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers. Find $$a + b$$.

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