Probability

1103164506

Level: 
B
At night, a parachutist landed on the spot M, which is 3km and 4km 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 6km/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.
0.5505
0.4495
0.6011
0.3989
0.3511
0.6489