\textbf{147.} Inside an equilateral triangle with side length 8 units, we randomly select a point. What is the probability that this point is more than $\sqrt{3}$ units away from every side of the triangle?
(1) $\dfrac{1}{16}$ \quad (2) $\dfrac{1}{9}$ \quad (3) $\dfrac{1}{8}$ \quad (4) $\dfrac{3}{16}$