If two distinct integers \(x\) and \(y\) are randomly selected from the integers between \(1\) and \(10,\) inclusive, what is the probability that \(\dfrac{x^2-y^2}4\) is a positive odd integer?

(A) \(\dfrac1{12}\)

(B) \(\dfrac1{14}\)

(C) \(\dfrac1{15}\)

(D) \(\dfrac18\)

(E) \(\dfrac2{15}\)

Answer: C

Source: Manhattan GMAT