Unlikely Meeting

In 1971 I went on holiday with a group to Switzerland. We had the afternoon in Berne before catching our train home. A small group of us went into a baker's shop in a back street to buy some food for the journey home. We asked if they served tea since there were one or two tables and received an affirmative response. Shortly afterwards another group came in. We made room for them and a couple sat at my table. To my amazement they lived in the next road with the gardens backing on just a few houses down. There was no common reason for us both to be there and it could have been anyone in the world who might visit Switzerland. It was not like passing someone in the street, they were actually sitting opposite me at the table! Having had numerous other extremely low probability coincidences and heard of many more I asked a professor of mathematics about this. The only explanation I could get was that there were all the other things that did not happen. There are of course all the things that did happen but you did not know about.