When my wife was pregnant, I wondered always if this would be "the day".
So I found some NHS statistics (of 640,000 births), and worked out some probabilities.
The result is at www.jcassidy.f2s.com/DueDate.html . You put in your due date, and any other date, and it tells you the probability of the baby arriving then.
It's also an iPhone app ("Baby Today Free"). I hope it's amusing for some people.