# Log, floor and ceiling together will make you surrender!

Discrete Mathematics Level 4

Given that $$x$$ is a random real number between 1 and 4 and $$y$$ is a random real number between 1 and 9.

The expected value of: $$\lceil \log_{2}x \rceil- \lfloor\log_{3}y \rfloor$$ can be expressed as $$\frac{m}{n}$$ where $$m$$ and $$n$$ are positive and relatively coprime integers. Then, find the value of $$100m+n$$.

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