When South Dakota governor Kristi Noem wrote in her upcoming book that she shot and killed her “untrainable” 14-month-old puppy, her odds of being selected by Donald Trump as his vice-presidential running mate pretty much sank to zero. (You can’t really blame Trump. If Noem has a propensity to shoot untrainable dogs, how could he allow her to be anywhere near Eric and Don Jr.?) The vice-presidential field is once again wide open. Who will Donald Trump ultimately select?

Below is the list of the most talked-about candidates, their pros and cons, and how the Las Vegas odds-makers are accessing their chances.