What is The most you can win?
156 chances to win, so 10,000 * 156 = 1,560,000
In total , what is the probability of you getting your ball out of all 156 rounds?
Likelihood of winning 156 times: (1/20)^156
Likelihood of winning at least once: 1-(19/20)^156 = 99.9665%
if there is a 1 in 20 chance of getting you numbered ball , what is the average number of balls will you get out of all the rounds.
156/20 = 7.8
Edited 4/16/2015 20:42:30