You are given a 100*50 snooker table (felt area) and two balls of diameter 1. One ball is placed in the center of the table and the other ball is randomly positioned. What is the probability that I will be able to shoot this second ball directly into the top left pocket without touching the central ball? (Assume pocket has radius 1)

I agree with Hugo that there is definitely an absolute top and bottom to the table.  All billiard tables have a dot on the felt along the longitudinal centerline of the table about 80% of the way to the *top*.  This is where you place the racked balls among other things for various games (e.g. snooker).  Therefore I would argue that top vs. bottom is not relative, and the true answer is based on the analysis of previous comments, but then divided by 2.

Posted by Kenny M on 2019-10-24 07:08:22