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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) `(2sqrt2)/3` (B) `sqrt5/3` (C) `8/9` (D) `2/3`

A

`2sqrt2/3`

B

`sqrt5/3`

C

`8/9`

D

`2/3`

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