If two distinct integers \(x\) and \(y\) are randomly selected from the integers between \(1\) and \(10,\) inclusive,

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