In tennis, the unique score represented by a score of 30 occurs during a game when the player or team has won two points. The scoring system in tennis is unconventional, progressing from 0 to 15 to 30 and then to 40. Understanding these scores is essential as they reflect the game's rhythm and strategy. The scoring intricacies add to the game's complexity and excitement, influencing players' tactics as they aim to win games, sets, and ultimately matches.