Which Mario Party 2 single-player mode has the player progress through a world map of minigames?

The Mario Party 2 single-player mode in which the player progresses through a world map of minigames is Mini-Game Coaster.

Mini-Game Coaster becomes available after the player purchases enough minigames from Woody in Mini-Game Land. It is a solo campaign in which one human player travels through a themed world map, completing the game's minigames in sequence rather than playing a standard four-player board match.

The mode gives the player three lives. A failed minigame costs a life, and losing all three ends the run, although progress can resume from the last save point. Completing the full course unlocks a bonus minigame, giving the campaign a reward beyond simply practicing the collection.

The most likely confusion is Mini-Game Island, the nearly equivalent mode from the original Mario Party. Mini-Game Island uses four starting lives and belongs to the first game. Challenge Road is associated with later Mario Party titles, while Star Battle Arena is not the name of Mario Party 2's minigame campaign.