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 $2/3 $ then the eccentricity of the ellipse is :
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 $2/3 $ then the eccentricity of the ellipse is :
- A
$\frac{{2\sqrt 2 }}{3}$
- B
$\frac{{\sqrt 5 }}{3}$
- C
$\frac{8}{9}$
- D
$\frac{2}{3}$
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