Yes, and solar eclipses are the most noticeable astronomical event. Since the mechanism's precision is to the day, this makes it a 10,000 years * 365 days = 3,650,000:1 chance of being a coincidence.
You can’t really work it like that. If I roll a dice and get a 6, you’d maybe say that this might be a coincidence because there’s 6 possible outcomes, with 1 chance of a , so a high chance it was a coincidence. But there’s 365 days in a year, and 200 countries in the world. So actually the fact that I rolled a 6 on this day and in this country has a 1:73000 chance and clearly can’t be just a coincidence. Now clearly something must be up, and I must be cheating at dice!
Once a day, you roll a dice with 3,650,000 sides. Only one of them shows a solar eclipse. On the day of the 200-year solar eclipse, the dice shows the solar eclipse side. Not a coincidence.
You're incorrectly applying a basic abstract statistical principle to a complicated real-world situation.
