Six in a Subset of S

Level pending

Let set \( S\) = {\(1,2,3,4,5,6,7,8,9 \)}. You randomly pick a subset of S from a box (not including the empty set). The probability that the subset will have the number \(6\) in it can be expressed as \(\frac{a}{b}\).

What is \(a + b\)?

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