To manage expectations regarding the “law of large numbers” in blackjack, a player should understand that while this mathematical principle suggests that averages will emerge over a large number of hands, short-term results can still be highly variable. It's crucial for players to recognize that streaks, both winning and losing, are common in the short run and do not necessarily reflect their overall skill or strategy. By focusing on long-term strategies rather than immediate outcomes, players can cultivate a more realistic outlook on their performance.