Hard boil 1 dozen eggs and let them cool completely. Peel the shell off and cut them in half length wise. Remove the yolk and place it in a bowl.
Dye the eggs the same way you would dye the shells (use normal liquid food coloring, NOT the special Easter egg dye! I have been told that is not safe to consume!). Follow the box instructions for the food coloring (usually calling for water and vinegar) and place the egg halves in the colors you create. There is no vinegar taste to the eggs! While the eggs are soaking up the color, mix together the yolk with 1/2 cup mayonnaise, 1/2 cup sour cream, 1/4 teaspoon salt and 1 tablespoon pepper.
Take the eggs out of the food coloring and set on a paper towel to get the excess water off. Spoon in a little yolk mixture to each one and garnish with some paprika and basil. Enjoy!