Saratoga Springs' first horse race was organized August 3rd, 1863 and over 150 years later you can still stop by one of the oldest horse racing tracks in the country to place your bets or just enjoy the action (and people watching). Take a guided tour (per person/family $3/10, hourly from 9:30am to 2:30pm) to learn more about the track's storied history.
There are many variations in the event schedule and ticketing, so check the website to make sure you get the most out of your trip. Buying tickets online in advance is always cheaper.