A box sitting in a room occupies (1 / 64) of the room volume. When the box

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A box sitting in a room occupies \(1 / 64\) of the room volume. When the box is opened, two identical particles are released into the room. What is the probability that at any instant after they are released, the two particles \((a)\) return to the box simultaneously and \((b)\) occupy the same \(1 / 64\) of the room?

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