Two-thirds of the roads from \(A\) to \(B\) are at least \(5\) miles long, and \(\dfrac14\) of the roads from \(B\) to

Two-thirds of the roads from \(A\) to \(B\) are at least \(5\) miles long, and \(\dfrac14\) of the roads from \(B\) to \(C\) are at least \(5\) miles long. If you randomly pick a road from \(A\) to \(B\) and then randomly pick a road from \(B\) to \(C,\) what is the probability that at least one of the roads you pick is at least \(5\) miles long?

(A) \(\dfrac16\)
(B) \(\dfrac14\)
(C) \(\dfrac23\)
(D) \(\dfrac34\)
(E) \(\dfrac{11}{12}\)

[spoiler]OA=D[/spoiler]

Source: GMAT Paper Tests