# Probability + Ellipse

An ellipse is inscribed in a circle and a point within the circle is chosen at random. If the probability that this point lies outside the ellipse is $$\large \dfrac{2}{3}$$, then the eccentricity of the ellipse is $$\large \frac{a\sqrt b} {c}$$ where $$\gcd(a,c)=1$$ and $$b$$ is a square free integer . Then $$\large{a\times b\times c}$$ is

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