Geometric Probablity

An ellipse of eccentricity $\frac { 2\sqrt { 2 } }{ 3 }$ is inscribed in a circle and a point is chosen at random within the circle. If the probability that this point lies outside the ellipse is expressed as $\frac { a }{ b }$ where $a,b$ are co-prime integers.

Now let the previous ellipse is made up of thin wire of total length $L$ then if we cut this wire in 3 pieces. If the probability That these three pieces forms triangle is expressed as $\frac { c }{ d }$ where $c,d$ are co-prime integers.

Which of following options is correct?