A golden birthday is your nth birthday, where n is the date of the month of the day you were born. If you were born on, say, January 11, then 11 years later on your 11th birthday it would be your golden birthday.
As in the Anniversary puzzle, what's asked is "What is the probability that the golden birthday occurs on the same day of the week as the original day of birth?"
This time let's use the 77-year period 1950 - 2026 as containing the year of birth.