I'll guess: 6 times every 7 years on the average ... just a bit less than once a year.
I reason thusly:
-- By looking at a calendar, we notice that in order to have 5 each of
any 3 consecutive weekdays, the month must have 31 days in it.
-- We also notice that there are 7 months in the year that each have
31 days in them.
-- But we also notice that the 7 months with 31 days each, always
begin/end on 6 different days of the week in the course of a year.
Whether it's a regular or a leap year, there's always one day of the
week on which no 31-day month begins, and one day of the week
on which no 31-day month ends.
-- In order to have 5 Fridays, Saturdays, and Sundays in a month, the month
must begin on Friday and end on Sunday.
-- So in any given year, there's a [roughly] 6 out of 7 chance that one of the
months that's long enough will start on a Friday. That means we should see
it happen roughly six times in seven years.
Note:
This isn't exact, because: Since 7 months in the year start on 6 different days
of the week, 2 of them each year have to start on the same day. So any one
given day has a little better than 6 out of 7 chance. But I don't know how to
handle that right now, so I'll go with 6 times in 7 years.
About twice each year
The month of July has 5 Saturdays and 5 Sundays zerotimes in 2012.
4 years
there 5 sundays,mondays,saturdays in every 200 years
This happens on average of once every 7 years- 4 times in every 28-year cycle of the calendar. It happens whenever March first is a Friday..
March
ummm...never.
About twice each year
every 823 years.
Exactly 14% of all Decembers have five of each of Fridays, Saturdays and Sundays.
Never.
Every year has more than 5 Fridays, 5 Saturdays and 5 Sundays.
This happens in any 31-day month starting on Friday (such as July 2005).
once every 365 years!
The month of July has 5 Saturdays and 5 Sundays zerotimes in 2012.
According to my desktop calendar, July will have five Fridays and Saturdays (and even some Thursdays) in 2016, 2021, 2022, 2027,2032, 2033, etc... If you look at http://www.timeanddate.com/calendar/monthly.html?year=2021&month=7&country=1 you will see that 2021, 2027, 2032 do not have 5 Sundays. The other years 2016, 2022, 2033 do have 5 Fridays, Saturdays, and Sundays. You are little confused since your first parahraph discusses Fridays and Saturdays, in which case 2021 and 2022 do indead have 5 Fridays and 5 Saturdays in July. In paragraph two above, you begin talking about Sundays and which years in which July will 5 each of Fridays, Saturdays and Sundays. Every month with 31 days will have 5 instances of the first 3 days in the month. This will repeat in a 5-6-5-11 year cycle and then repeat. So it should be 2016, 2022, 2033, 2039, 2044, 2050, 2056 - don't forget to consider leap year which will cause a 1 day shift.
Every time February 1st falls on a Monday !