From what I have been reading, it's not easy to determine what the babies would look like, when crossing a normal and a snow. I am not even sure the usual Dominant/recessive genes method used with other reptiles, especially snakes, works the same with bearded dragons. With snakes like ball pythons and corns, crossing a snow and a normal would get you a whole bunch of normal looking babies, mostly het for snow (well, that is the simplified version, as the genetic makeup for snows is a bit more complex and I don't understand it enough to explain it).
With bearded dragons, you could get all normal dragons, or a mix of paler dragons or something completely different. Then there is the clear nail/black nail thingy with snows that i really don't understand completely. (or at least I think it's snows that get clear nails). Hopefully somebody here with more knowledge about breeding snows to normals can give you a better ideal.
Again, as I mentioned in other posts asking where to get snows, check the classifieds. Even if there are no aduld snows being posted, you can still send emails to the breeders selling baby snows, they may have some adult males they would sell but just haven't adverstised as they are trying to sell off the babies.
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PHLdyPayne