Preheat oven to 350F. Grease an 8X8 inch baking pan or 9 inch round pan.
In a bowl, combine flour, sugar, cocoa powder, salt, and baking soda. Mix well with a wire whisk.
Add vinegar, oil, and vanilla extract and mix well. After flour mixture is moistened, add the cold water and mix until smooth. Add chocolate chips and pour into pan.
Bake for 30-35 minutes. Cool on a rack. Top with your favorite frosting or dust with powdered sugar.
The owners of Food Allergies and Me are parents of three little ones, two of whom have serious food allergies. They started their blog (where you'll find more yummy allergy-safe recipes like this one) and food allergy button store to raise awareness and educate people about kids with food allergies.