I agree with nameless. Usually the idea is that you form the most stable radical (as orgopete said) which would be the tertiary radical which would give you the 3-bromo-3-methylbutane. That's usually the point of these types of questions. However, if the question is to list all possible products, then you have to go nameless' route and look at each C-H bond that can be broken to give a unique product. Some of the C-H bonds will lead to the same product (the three C-H's of a methyl group on the end of the chain for example). If you work through each C-H cleavage, you find out that you can have four unique constitutional isomers.
BTW, of those four possible constitutional isomers, the 1-bromo-2-methylbutane and the 1-bromo-3-methylbutane are products. So I don't think that you're wrong... you just haven't listed all of the products.