Preheat the oven to 350 F. In a large bowl, mix cake mix with eggs and vegetable oil until smooth. Divide the cookie dough between three bowls, mix red food coloring with one bowl, and blue with another.
Mix 1/3 cup chocolate chips into each cookie dough. Take a small amount of each cookie dough from each dough, and roll into balls. Place onto a large ungreased baking sheet at least 2-inches apart. Bake for 10-12 minutes.