In June 2001, my wife and I celebrated our golden wedding anniversary. To our surprise, this 50th anniversary occurred on the same day of the week as the wedding 50 years ago. I wondered if this is a common occurrence.

Consider the 52 years from 1900 through 1951. What is the exact probability that, for a randomly selected wedding date in this period, the golden anniversary (50th anniversary) fell on the same day of the week?