## If two distinct integers $$x$$ and $$y$$ are randomly selected from the integers between $$1$$ and $$10,$$ inclusive,

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### If two distinct integers $$x$$ and $$y$$ are randomly selected from the integers between $$1$$ and $$10,$$ inclusive,

by VJesus12 » Sat Oct 16, 2021 4:32 am

00:00

A

B

C

D

E

## Global Stats

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) $$\dfrac2{15}$$