I can only try:
You’re right but still given the parents shared their birthday before the baby was born, the correct headline should have been ‘Family (not baby) beats 133,225 to 1 odds’ the Baby merely beat a puny 365/1 odds.
This article reminds me of the story of a guy who always wore his hat on backwards when he went on a plane. When he was asked why he replied “Well the odds of there being a bomb on the plane is estimated at 1 million to 1. What do you think are the odds of there being a bomb on a plane with a passenger who’s hat is on backwards?”