Is this problem scrubby?

Level pending

Ryan thinks that a lot of the problems I write are "scrubby." I, however, know for a fact that only 1 4 \frac{1}{4} of my problems are "scrubby." Given that Ryan thinks a problem is "scrubby" when it is not 3 5 \frac{3}{5} of the time, then the probability that Ryan will think a given problem is "scrubby" can be represented by A B , \frac{A}{B}\text{,} where A A and B B are positive coprime integers. What is A + B ? A+B\text{?} ......................................................................... \text{.........................................................................}

Ryan, please do not dispute 1 1 2 \frac{1}{1}\Rightarrow\boxed{2} as the solution.


The answer is 9.

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