In which situations can a referee display a red card?

A referee can display a red card for serious fouls and offensive language because there are several types of conduct in the game that warrant the immediate dismissal of a player. Serious fouls, such as dangerous tackles that put the safety of an opponent at risk, are grounds for a red card as they break the fundamental principles of fair play and player safety. Additionally, offensive language or gestures can be considered as conduct that undermines the spirit of the game, which also results in a red card being issued.

This understanding emphasizes the importance of maintaining a respectful and safe environment during a match. While the other scenarios, such as issuing two yellow cards or unsportsmanlike behavior, are relevant to the game and can lead to a dismissal, they do not encompass the broader array of serious offenses that justify an immediate red card.