First of all, my knowledge of statistics, odds and probabilities is very rusty, so pardon me if I am not making sense, but here is my problem:
- The odds of winning a game is 97:3 (or 97% chance of winning).
- Winning scores you +1 point.
- Losing scores you -31 points.
- Assume that the game is played infinite amount of times so that the chances of winning and losing converge to 97% and 3% respectively.
Now, if I take 1000 game samples (out of the infinity games played), how would one calculate the the resultant net score (if possible at all)? Am I missing something simple out?