I have gotten countless flats, luckily all but one of them have been close to home. The one time I went out for a short ride to the mountains to the tree line and back, I get a flat right at the tree line, in a deep canyon, no cell service. I rode on a flat for 7 miles until I ran into a group partying that had a working cell phone to call my wife to come and get me.
Always carry a flat kit, I always do anymore if I will be out of cell range. Its a really stupid thing to get stuck with in the woods that can be easily fixed with the proper tools, take my advice, CARRY A FLAT KIT!