The Buffon Needle Experiment. The following experiment was devised by Comte Georges-Louis Leclerc de Buffon (1707-1788), a French naturalist. A needle length 1 inch is dropped onto paper that is ruled with lines 2 inches apart. If the needle drops onto a line, we count it as a bit. (See Figure 10.) Buffon discovered that the quotient tries/approximates pi. For the Buffon needle experiment, you must generate two random numbers: one to describe the starting position and one to describe the angle of the needle with the x-axis. Then you need to test whether the needle touches a grid line. Generate the lower point of the needle. Its x-coordinate is irrelevant, and you may assume its y-coordinate y_low to be any random number between 0 and 2. The angle alpha between the needle and the x -axis can be any value between 0 degrees and 180 degrees (pi radians). The upper end of the needle has y-coordinate y_high = y_low + sin alpha The needle is a hit if y_high is at least 2, as shown in Figure 11.Stop after 10,000 tries and print the quotient tries/. (This program is not suitable for computing the value of pi. You need pi in the computation of the angle.