I think CJ said that the company insuring against the occurrence of 10 in a row, or a local college professor, told him that the odds were 7.8 million to 1. If that is true, then I think they did some poor figuring.
Suppose you had some event with a 20.45% probability of occurring on every trial of the event. Maybe think of rolling a highly biased die that, because of some quirk of production or some "doctoring," has a 20.45% probability of coming up with a six, and every roll is independent of the others. Well, then the probability of rolling a six 10 times in a row would be .2045 to the 10th power, which works out to odds of 7.8 million to 1 against that occurring.
But the pool situation was not like that, even if we assume a 20.45% probability of a single-game break-and-run. The early matches in that tournament were to 15, not 10. So the players had multiple opportunities to run 10 in a row in each match. And the event had many matches, not just one. And the plan was to have multiple events on CJ's new Professional CueSports Asssociation tour, not just one tournament. So the opportunities for running 10 racks in a row some time on that new tour were far more than one, reducing the odds against it happening to far less that 7.8 million to 1. It would also be questionable to assume that the probability of running each rack in a match is independent of what has already happened in the match. For example, the pressure might get a little high in that situation once you had run 6 or 7 in a row.
Anyway, we do not really know how the 7.8 million to 1 odds were determined, or even if that really was the insurance company's determination in setting their price. But if you were to ask in advance of that tournament, what are the odds against Earl doing it in his first inning of his first match of the first PCA event, the answer would have to be pretty darn high.