Your odds are really good. The dentistry field is expected to grow. Why? People have more teeth than ever before. Well, maybe not individually, but each generation is more likely to keep their teeth than past generations. Think President Washington's wooden teeth. Not too many of those anymore.
In addition, cosmetic dental services like teeth-whitening treatments are extremely popular. People aren't likely to settle anymore for discolored teeth. The demand for dentists is expected to exceed the number of dentists in the United States. If you are looking for a stable career in the medical field, this is the time to jump on the bandwagon.