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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