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Suppose we have a rectangular fish tank which is \( 4\,\mathrm{dm} \) long, \( 2\,\mathrm{dm} \) wide, and it is filled with water up to the height of \( 3\,\mathrm{dm} \). In its four bottom corners, there are jets through which a fresh air is driven into the water in specific intervals. The fresh air is driven to the distance of up to \( 5\,\mathrm{cm} \) from the tank corners. If a fish swims inside the tank, what is the probability that the fish will not be hit by the stream of bubbles, at the moment when all four jets are acting? The fish dimensions can be neglected, round the result to \( 4 \) decimal places.