设随机变量 $X \sim\left(\begin{array}{cc}0 & 1 \\ \frac{1}{4} & \frac{3}{4}\end{array}\right)$, 向量组 $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2$ 线性无关, 则 $X \boldsymbol{\alpha}_1-\boldsymbol{\alpha}_2,-\boldsymbol{\alpha}_1+X \boldsymbol{\alpha}_2$ 线性相关的概率为
$\text{A.}$ $\frac{1}{4}$
$\text{B.}$ $\frac{1}{2}$
$\text{C.}$ $\frac{3}{4}$
$\text{D.}$ 1