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Playing the odds

We are – it would seem – fascinated by coincidence. When we read of – or better still, experience for ourselves – some remarkable or unexpected occurrence that seems to defy all the odds, a tingle of excitement runs up the spine – the pulse quickens – the cosmos shifts…

Might this be because we are drawn to the unusual – because we like to see patterns or meanings in the very heart of chaos – or just because the idea of beating the odds appeals to those of us who instinctively support the underdog?

In truth many coincidences – happenings that seem to defy the odds – turn out to be far from unlikely after all. The work colleague whom you encounter unexpectedly on holiday in a foreign land probably comes from a similar background and has similar predilections to you. You have both doubtless studied much the same marketing materials from the tour companies and have reached similar conclusions as to where to take your break.

Consider the well know ‘birthday problem’ from probability theory. This states that, though a gathering would need to comprise 367 people to guarantee that 2 of them share a birthday, only 23 need be present for there to be a 50-50 chance of this happening. To put this another way, in a school with many classrooms each of which contains 23 pupils, approximately half of the rooms would incorporate 2 pupils who share a birthday.

Attempts to ascribe meaning to these or other coincidences are futile. There is no meaning. These things just happen. In this 2007 article from Psychology Today, John Allen Paulos (Professor of Mathematics at Temple University in Philadelphia and best-selling author of Innumeracy: Mathematical Illiteracy and Its Consequences) is quoted thus:

“In reality, the most astonishingly incredible coincidence imaginable would be the complete absence of all coincidence. Believing in the significance of oddities is self-aggrandizing. It says, ‘Look how important I am.’ People find it dispiriting to hear, ‘It just happened, and it doesn’t mean anything.'”

 

But of course, you don’t really want to read all of this psychological guff – you just want to hear my coincidence story!

 

The building in which I work includes a good sized atrium which is used on occasion for functions. Just the other day I was returning to my office through the atrium at the first floor level (the second floor if you are Canadian!) and saw that it was being set up for a dinner, with six or seven large round tables each seating 10 diners.

Wondering as to the nature of the event I descended to the floor of the atrium to speak to one of the organisers (whom I know well) who was helping to lay the tables for the dinner. I stopped by the table that she was working on, on the opposite side to where she was. As we chatted she was working her way round the table, putting out place cards at the head of each setting. Reaching the seat immediately in front of me – and without looking at it – she took from her pile and placed on the table a card with my name on it!

As I was definitely not attending the dinner this meant that one of the guests and I share a name – and I don’t just mean a Christian name! The odds on that must be reasonably slim, but those on me standing quite by chance in front of the seat which my namesake would later occupy must be even slimmer.

What might this mean?

I guess it means I should buy a lottery ticket!

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