# Pilf

Six fair coins are flipped and land on a table. The expected value of the minimum number of coins that must be turned over to ensure that all the coins are the facing the same way can be expressed as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a + b$$?

Details and assumptions

The coins are facing the same way if they all display heads, or if they all display tails.

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