Thank you for the photo, Mary. Fussy is a real cutie. Don't worry about those carrots, though. They aren't really that good for rabbits, being too high in sugars. Much of what we thought was true about feeding rabbits has been found to be wrong in the last few years. Many breeders, rescuers, and even vets have not become aware of the new recommendations. Because you're a fairly new rabbit owner, I'm going to give you some additional information.
Rabbits should be allowed to eat as much good grass hay as they want. I can't emphasize enough the importance of feeding your rabbit hay. It will keep the digestive system working properly.
A five pound rabbit should also get about 1/8 cup of plain pellets daily. Don't use the gourmet varieties that contain dried fruits, seeds, and nuts. A variety of fresh produce, especially greens, is also important. Iceberg lettuce, however, isn't good. It has no nutrients in it and can lead to diarrhea. The following link will take you to a site with detailed information on rabbit feeding, including lists of the best produce, and what foods to avoid:http://www.bio.miami.edu/hare/diet.html
Any time you need reliable rabbit information or just want to learn about rabbits, this is a great site:http://www.bio.miami.edu/hare/rabbithealth.html
If you have any more questions about this, just let me know. Remember, don't click on accept again.