Apaper cup is dropped and its landing position is recorded. the cup can land on the side, on the open end, or on the closed end. the results of 20 trials are shown in the table below: a chart shows tally marks. main title for the chart is paper cup experiment. the title for the second column is number of times occurred. the tally mark corresponding to open shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. the tally mark corresponding to closed shows a set of 4 vertical lines. the tally mark corresponding to side shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.