Start with a cube that is painted on its exterior and then divided into 27 equal cubes (see figure below of cube painted white on its exterior). Put the 27 cubes in a bag, draw one at random and without looking place it on a table in front of you. Suppose the top face is not painted, and two of the four vertical sides are painted. What is the probability that the hidden side (the side resting on the table) is also painted?

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