Well, no. As the number of (possible) bets approaches infinity, the probability of winning APPROACHES zero, while the payout approaches infinity. You can’t round these things off arbitrarily, and you certainly can’t round them off in your evaluation and then laugh at the players for not rounding them off.
The problem with trying to apply any of this to the real world is that there’s a lot of uncertainty in the actual bets being made, which at the extremes completely overwhelms any calculations you want to do.
Well, no. As the number of (possible) bets approaches infinity, the probability of winning APPROACHES zero, while the payout approaches infinity. You can’t round these things off arbitrarily, and you certainly can’t round them off in your evaluation and then laugh at the players for not rounding them off.
The problem with trying to apply any of this to the real world is that there’s a lot of uncertainty in the actual bets being made, which at the extremes completely overwhelms any calculations you want to do.