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Assuming that $C_{X,Y}$ is the copula function of $X$ and $Y$ with marginal distribution functions $F_X\left(x\right)$ and $F_Y\left(y\right)$, in this work we study the selection distribution $Z\stackrel{\mathrm{d}}{=}\left(X\right|Y\in T)$. We present some special cases of our proposed distribution, among them, skew-normal distribution as well as normal distribution. Some properties such as moments and moment generating function are investigated. Also, some numerical analysis is presented for illustration.