Preheat the oven to 350°F (177°C). Line a 12-cup muffin pan with cupcake liners. Line a second pan with 6 liners—this recipe makes about 18 cupcakes. Set aside.
Whisk the cake flour, baking powder, baking soda, and salt together. Set aside.
Using a handheld or stand mixer fitted with a paddle attachment, beat the butter and sugar together on medium-high speed until smooth for about 2 minutes. Scrape down the sides and the bottom of the bowl with a rubber spatula.
Add the egg whites, oil, and vanilla extract. Beat on medium speed until combined, then beat in the sour cream. Scrape down the sides and up the bottom of the bowl.
With the mixer on low speed, add the dry ingredients until just incorporated.
With the mixer still running on low, slowly pour in the milk until combined. Do not over-mix.
Add the cup of Fruity Pebbles and fold into batter.
Spoon the batter into the liners. Fill only 2/3 full to avoid spilling over the sides. Bake for 19-22 minutes, or until a toothpick inserted in the center comes out clean.
Allow the cupcakes to cool completely before frosting.