An angle 8 is chosen from the interval -1T/2 to 7T/2 by a random mechanism that obeys a uniform probability law over the interval. A line is then drawn on an (x, y)-plane through the point (0, 1) at the angle 8 with the y-axis. What is the probability, for any positive number z, that the x-coordinate of the point at which the line intersects the x-axis will be less than z?