2000004703

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2000004703
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There is a wooden cube with faces painted in green. Its edge is \(3\,\mathrm{cm}\) long. Imagine, we cut the cube into small unit cubes with the edge length of \(1\,\mathrm{cm}\) and we select one of the unit cubes at random (see the picture). What is the probability of selecting a unit cube with three faces painted in green?
\( \frac{8}{27} \)
\( \frac{7}{27} \)
\( \frac{4}{27} \)
\( \frac{6}{27} = \frac{2}{9}\)