Medical opinion is that all babies are at risk for developing food allergies. This means that even if you don't have a family member with a food allergy, your baby still can develop one. In fact, most babies with food allergies don't have a family history or specific risk factors. The average baby in the US has a 1 in 13 chance of developing a food allergy. While everyone is at risk, babies with eczema have a 1 in 3 chance of developing a food allergy.