The LAAOS III trial will randomly (like the flip of a coin) assign patients with AF undergoing heart surgery for other reasons to have the left atrial appendage removed or not. These patients, other than this small procedure which has been shown to be quite safe, will be treated in the usual manner. The full study of 4700 patients, followed for an average of 4 years, will determine if removing the left atrial appendage can reduce stroke and other complications on top of usual therapy. A positive study will change the way heart surgery is performed on AF patients and results in a large reduction in the number of strokes in a large population. Further, it will promote further research into this approach that could be applied beyond AF patients undergoing heart surgery.