What is the name of the DLC that adds the Red Hood as a playable character?

The DLC that makes Red Hood playable in Batman: Arkham Knight is the Red Hood Story Pack. It is a short, story-driven mission centered on Jason Todd after he abandons the Arkham Knight identity.

In the pack, Red Hood targets the criminal Black Mask in a personal campaign of revenge. Unlike Batman, Red Hood uses firearms as part of his combat style, although the game presents his weapons as specialized tools within the Arkham combat framework. His mission takes place separately from the main campaign and gives players a focused look at his transition from enemy to antihero.

The Red Hood Story Pack was originally offered as pre-order content and was later made available more broadly. It is sometimes confused with Harley Quinn’s Revenge, which belongs to Batman: Arkham City, or A Matter of Family, the Batgirl-focused Arkham Knight expansion. Season of Infamy is also different: it adds several villain-centered missions but does not specifically introduce Red Hood as its main playable character.

Red Hood also appears elsewhere in Arkham Knight as part of the game’s larger Jason Todd storyline, but the dedicated playable-character DLC carries the title Red Hood Story Pack.