Chance of something happening in three separate days in a year?

So the question is.

There are 365 days in a year. Something happens 2555 times that year. So that averages 7 times per day. Easy. But...

What is the chance that that thing happens less than average times in three random days. So someone might flip a coin 2555 times in a year, or people might win the lotto 2555 times in a year. What is the chance that it happens in three occurrent days. And it has to happen at least once every day.

Hope I explained this well enough. Reason for me asking this is hard to explain. It has to do with how much people pay attention to things that happen around them. And how it correlates to things that happen outside their peripheral. It's like a mind bug. And I need to know if it's possible to determine or if it's just inexplicable.