Four card players were astonished to pick up identical straight run hands in a bizarre fluke calculated as a 61 billion-to-one chance.
So what are the odds of that happening then?
Actually, about one in two or thereabouts.
It\’s one of these little things I like about probabilities. Sure, the likelihood of any individual being hit by lightning is pretty low, but there\’s lots of people out there so there are some each year.
Even if the efficient markets hypothesis is, in its strictest form, correct (you absolutely cannot beat the market except by chance) there are enough people attempting to do so that Warren Buffet\’s success is just about explainable by chance (no, I don\’t believe so and do not believe the strictest form of the EMH).
And our card hands? Sure, any specific deal has this one in 61 billion chance (although I would be wary of that calculation myself, for it\’s conditional. By the time you\’ve dealth the 51 st card then the 52 nd is obviously known, when dealing the 51st you\’ve a 50/50 chance of completing the runs etc. Don\’t know whether they did the calculation that way or not.) but how many hands are dealt in a year?
Despite the unlikely outcome he calculates that an identical deal should happen somewhere in the world about once every year.
The calculation is based on an estimate of 10 million people playing cards around the world every day, with each game requiring 10 deals.
That means 36,500,000,000 deals take place each year.
A 60 billion chance has a one in two probability of happening in 30 billion events.