\textbf{147.} Inside a regular hexagon with side $2\sqrt{3}$ units, a point is chosen at random. What is the probability that the distance from this point to each side of the hexagon is greater than one unit?
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(1) $\dfrac{4}{9}$ \hfill (2) $\dfrac{2}{3}$ \hfill (3) $\dfrac{5}{9}$ \hfill (4) $\dfrac{3}{4}$
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