Question 19Two concentric circles have radii $1$ and $2.$ Two points on the outer circle are chosen independently and uniformly at random. What is the probability that the chord joining the two points intersects the inner circle?$ \ \dfrac{1}{6} $$ \ \dfrac{1}{4} $$ \ \dfrac{2-\sqrt{2}}{2} $$ \ \dfrac{1}{3} $$ \ \dfrac{1}{2} $