Which day of the week (Sunday, Monday, etc.) is the probability largest to fall on the 13th of a random month, in a random year?
Or is this probability the same for each day of the week?
Considering the 400 year period, from 2001 to 2400, having regard to the Leap Years, a rigorous calculation yields the following probabilities, P(d) corresponding to a given day of the week(d)
d...................P(d)
Monday..........14.2708 %
Tuesday..........14.2708 %
Wednesday.....14.3125 %
Thursday........14.25 %
Friday............14.3333 %
Saturday........14.25 %
Sunday..........14.3125 %
From the above table, it is observed that the probability of 13th being Friday is marginally higher compared to the other six d.o.w.'s.
Edited on August 3, 2007, 12:06 pm
Solution
