What a f**king pointless "article" - the BBC must have given their reporters the day off.
This simulation most likely uses a random number generator in it's algorithm, which would mean that every time you run it, you get slightly different results - presumably they got the percentage probabilities by running the thing thousands of times and seeing how often Chelsea won (for example). In which case, the final table they showed is either one of the thousands of end results (so they could have chosen any one of the others which would be at least slightly different), or it's the average of all of them. The average would be better, but it's still the end result of a very specific set of variables, chosen by the programmers, which are at best incomplete and at worst just a few assumptions that everything's going to sort of continue about the same way it has done so far. Which is basically what it says right at the end of the article: "It is based on players remaining fit and continuing with their average performance levels, so an injury to Chelsea striker Diego Costa or Tottenham midfielder Dele Alli, for example, would have a significant impact on these predicted outcomes."
So it's really not significantly different than assuming every team will get exactly the same points per game for the rest of the season as they have so far, in which case the final table will look exactly the same as it does now.