Line a baking sheet with wax paper. Insert ice pop sticks into the cores of the apples and set aside.
Place the colored chocolate discs into separate glass bowls and melt in the microwave according to package instructions. Drizzle a few tablespoons second and third colors in to the base color; do not stir.
One at a time, fully dip the apples in the base color, twisting and turning as you remove them to create marbled patterns. Allow the excess to drip off, then set on the prepared baking sheet. Refrigerate the dipped apples for at least 15 minutes to harden.