For that to happen, the month has to be 31 days long and has to start on a Friday. Since there are 7 months with 31 days and one chance in 7 a month will start on a Friday ( roughly, due to leap years) there is about once yaer this will happen.
Next month has 5 Fridays, Saturdays, and Sundays.
Since
14.5% of all years have a January with 5 of (Fri-Sat-Sun),
14.25% of all years have a March with 5 of (Fri-Sat-Sun),
14.5% of all years have a May with 5 of (Fri-Sat-Sun),
14.5% of all years have a July with 5 of (Fri-Sat-Sun),
14.25% of all years have an August with 5 of (Fri-Sat-Sun),
14% of all years have an October with 5 of (Fri-Sat-Sun), and
14% of all years have a December with 5 of (Fri-Sat-Sun),
the average occurrence comes to exactly once per year.
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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..