MathForces: Math Olympiads
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Problem has been solved: 44 times

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There are 10 light switches in a row, each in the "on" or "off" position. The probability that no two consecutive switches are in the on position is representable as an irreducible fraction $ \frac {m} {n} $, where $ m $ and $ n $ are natural numbers. What is $ m + n $ equal to?

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