Combine everything but the drumsticks in a medium bowl. Add the drumsticks and stir to coat.
Grill or broil the drumsticks, brushing with marinade, for about 20 minutes or until cooked through. If there is extra marinade, bring it to a boil in a small pot and simmer for a minute, until thoroughly cooked. Serve with the drumsticks for dipping.
Makes 8 drumsticks.