And can we equate the two phrases "predicting the outcome of a game" and "setting the odds correctly"? But setting bookmaker odds "correctly" for an upcoming game doesn't mean predicting the outcome correctly. You, as a bookmaker, can set the odds "correctly," that is, rationally, in accordance with the available statistics, but the actual outcome of the match will contradict the advantage you set in the odds.
Why is this so? Because the actual outcome of a match is influenced not only by the statistics that have been collected, but also by:
1. Statistics that weren't collected for some reason, but were important for the outcome of the match (some minor factors that influenced the outcome of the match, which we consider "chance" or "luck").
2. Factors for which statistics are not yet collected or for which few people know. For example, hormonal changes in players' bodies that affect their performance. This especially affects women, for example, in tennis.
3. Factors that haven't even been formalized yet and are poorly understood. I can't give specific examples here for obvious reasons.
a pool of money will be created for each game's bet, based on the bettors interested in it. the bookmaker's goal is to withdraw as much money as possible from this pool into their own accounts when the game ends. in other words, bookmakers don't actually need to know what will happen in a match and with what probability in order to make money. the only thing they need is the money that goes into the pool i mentioned.
while a large portion of this money always goes to the winning bets, a certain amount will remain with the casinos as part of the business. the money the casinos earn generally has little to do with how the game ends.