Let's say I roll two dice, a d8 and a d12… How do I calculate the probability that the d12 will a) win, b) be equal, c) lose? There is probably a name for this equation, but my google-fu is lacking.

The likelihood that a song by a specific band will be played is proportional to the number of songs of the particular band divided by all songs. Since the selection is arbitrary and songs may be ...