December is a whole month, Sunday is just a day so 'December" can't fall on any day of the week as there are 4.25 weeks in the month.
If you we're really asking how often Christmas falls on Sunday, since the millennium Christmas has so far been on a Sunday in years 2005 and in 2011; and in 2016 Christmas will again be on Sunday.
sunday
December 1st falls on a Sunday approximately once every seven years. This is because there are 14 possible days of the week for December 1st to fall on in a 400-year cycle, and each day of the week occurs 28 times. Therefore, the probability of December 1st falling on a Sunday is 1/7 or approximately 14.3%.
December 2016
IN 2010!!
Sunday.
Sunday
December 7, 1941 was on a Sunday.
December 3 1972 was on a Sunday.
December 15, 1991 was a Sunday.
December 15th 2010is a Wednesday.
December 9, 1990 was a Sunday.
16th December 1984 was on a Sunday.