Strongly depends on the establishment serving the daiquiri. Some places load it up with booze, others only put in a half shot. There's no standard recipe. Be warned that sugar-heavy drinks like a daiquiri often cause hangovers more easily than non-sugary alcoholic drinks.
You're probably better off just ordering your favorite diet soda or a club soda and a shot of vodka, whiskey, or rum on the side. Mix half of the shot with your drink and see how you feel, then go from there.