I got stranded on the side of a country road for a few hours in the middle of the night during a 600k brevet a while back because of a broken chain...and I had a chain tool!
Mine was part of a multi-tool and I couldn't get enough leverage to push the pin out. I sat there until a truck stopped that let me borrow a wrench. Now I carry an actual chain tool. Whichever way you go, it's a good idea to try it out before game time.