# Walking a fine line

Calculus Level 4

Suppose two real numbers $$x$$ and $$y$$ are chosen randomly and uniformly from the interval $$[-1, 1]$$. The probability that $$xy \gt (x + y)$$ is $$\dfrac{a - \ln{b}}{b}$$, where $$a$$ and $$b$$ are positive coprime integers. Find $$a + b$$.

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