July last had 5 Fridays, 5 Saturdays and 5 Sunday's in 1994. we in 2011 will experience this phenomenon this July. this is also occur in July on 2022, 2033 and 2044, 2061, 2072, 2089 etc
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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.Since14.5% 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), and14% of all years have a December with 5 of (Fri-Sat-Sun),the average occurrence comes to exactly once per year.
2016 2022 2033 2039 2044 2050 2061 2067 2072 2078 2089 2095
As of 2011, the last time the month of July contained five Saturdays, Sundays, and Mondays was in 2006. The next time it will happen is in 2017.
2/7two out of sevenTuesday ThursdayMon Wed Fri Sat Sun
Total number of days in a leap year is 366, ie 52 weeks and 2 days. The last 2 days can be either ( Mon Tue, Tue Wed, Wed Thu, Thu Fri, Fri Sat, Sat Sun, Sun Mon) The possible outcomes are 7 The outcomes where one of the day is a Sunday is 2 So probability of getting 53 Sundays is = 2/7. The exact probability is 28/97, which is about 28.87%.