1. drawing a gun faster than someone else in a confrontation
Usage: Western/cowboy context
2. attracting more people or attention than something else

Examples

• The sheriff was famous for outdrawing every outlaw in town.
• In the old Western movies, the hero always ended up outdrawing the villain.
• The new restaurant is outdrawing all the competition on Main Street.
• The comedy show is outdrawing the drama in television ratings.
• She practiced daily, hoping to improve her chances of outdrawing her opponent.
• The museum’s new exhibit is outdrawing their permanent collection.