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At night, a parachutist landed on the spot \( M \), which is \( 3\,\mathrm{km} \) and \( 4\,\mathrm{km} \) away from the two straight and mutually perpendicular roads \( p \) and \( q \) respectively (see the picture). From the landing point, the parachutist walks straight in a random direction at the constant speed of \( 6\,\mathrm{km}/\mathrm{h} \). What is the probability that he reaches one of the roads in less than an hour? Round the result to \( 4 \) decimal places. \[ \] Hint: In the case of linear motion with constant speed, the speed is equal to the ratio of the displacement and the time of motion.