Final answer:
The binomial distribution is used to predict game outcomes in sports, and may suggest that more games could lead to greater competitive balance. However, league competitive balance involves more factors than just the number of games, such as revenue, salaries, and rules.
Step-by-step explanation:
The relationship between binomial distribution and competitive balance is often analyzed in the context of sports leagues and games. The binomial distribution helps in assessing the likelihood of various outcomes based on the probability of a single event occurring. When we look at sports leagues, for instance, binomial distribution can predict the outcome of games assuming each game has two possible outcomes (win or loss) and each outcome is independent of the other.
In terms of competitive balance, it is argued that the more games that are played in a season, the greater the chance for competitive balance, as teams have more opportunities to win or lose which should theoretically even out over time due to the law of large numbers. However, this does not directly tie into the number of teams in the league. The competitive balance also involves factors such as revenue distribution, player salaries, and league rules, which can skew the balance irrespective of the binomial distribution's outcomes.