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It happens that this year our 50th wedding anniversary falls on the same day of the week as the original wedding day.
For what fraction of the population would this be the case, overall?
Question
#97481. Asked by davejacobs. (Jul 12 08 4:23 PM)
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willim
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2008 is a leap year, whereas 1958 was not. In other words as from March 1 till December 31, the days are the same in the 2 yaers.
So, overall 10/12 off the people, married in 1958 have the anniversary days as the wedding day.
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sequoianoir
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The number of dates in 2008, that fall on the same DAY OF THE WEEK as the year 1958, is 306 out of 366. Jan + Feb(which DO NOT) = 60
So 306/366 is the fraction. This can be reduced to 51/61.
However whether this reflects the fraction of the population celebrating their 50th wedding anniversary is another matter.
The calculation would not reflect this fraction IF January and February were both significantly the most popular months of the year in which people got married. Similarly it would be true if everyone avoided these months like the plague.
Furthermore many of the couples getting married in 1958 will no longer be married - one or both partners will have died and many will have divorced - and hence the 50 years mark will not have been reached.
Due to wide and varied social and environmental considerations both deaths and divorces will not fall equally across the seven days of the week.
As shown here.
 http://www.musc.edu/bmt737/spring2001/Amal/index.htm
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Arpeggionist
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to figure out the statistics for all anniversaries in all years, one must count the number of instances in which a period of 5 decades will contain 13 leap years and differenciate those instances from the number of cases in which 5 decades contain 12 or 14 leap years. And then one must take into account that these calculations are only good for Gregorian dates (Jewish, Muslim, Mayan and Chinese calendars will differ greatly).
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willim
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An exact calculation is impossible, but one thing is sure: on february 29, 2008 nobody had a 50th wedding anniversary.
Tha rough estimation is 10/12 or 51/61 or 306/366 of the people is the best.
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