They would have a rotating 7 year schedule, but it’s messed up by leap years. You have the seven calendars you’re thinking of and 1-2 leap year calendars mixed into those 7 years. It would have to be somewhere between 1 in 8 and 1 in 9, wouldn’t it?
There are 97 leap days every 400 years, then the calendar repeats. So you have 303/400 chance of not having a leap year, and in those years, you get a 1/7 chance of having this calendar. Thus 303/2800.
1 in 7 chance [if you sample from infinite years]
That can’t be correct, can it?
They would have a rotating 7 year schedule, but it’s messed up by leap years. You have the seven calendars you’re thinking of and 1-2 leap year calendars mixed into those 7 years. It would have to be somewhere between 1 in 8 and 1 in 9, wouldn’t it?
No, since there’s only 7 different possibilities, then over a sufficiently large sample, the probabilities would all still balance out to 1 in 7.
I think it’s more like 303/2800 chance.
There are 97 leap days every 400 years, then the calendar repeats. So you have 303/400 chance of not having a leap year, and in those years, you get a 1/7 chance of having this calendar. Thus 303/2800.
the first day of the month moves forward one weekday each year except mar-dec on a leap year which moves forward two weekdays