Quote:
Originally Posted by bjsmith22
If you want anyone to take your lol numbers seriously, you're going to have to show how you 'took into account field sizes', and just show your work in general. Otherwise this post is so lol especially the part where variance is in brackets and you're talking about 1/47000 events
I will explain the calculation behind this, although I am not sure why I am bothering. I see the stream of dismissive, trying to look clever, posts from you on just about every thread, and I doubt if you are even really interested in the maths, but maybe others are, so here goes.
The calculation I did was to look at the probability of Hellmuth making heads up N times, of all the times that he made it into the money in Vegas WSOP bracelet events, if he was average in ability among the remaining players (ie ignore the difficulty of making it into the money, and just look at the probability of reaching heads-up from that point).
By "taking account of field size", I mean that if 20 players make the money, an average player has a 0.1 chance of making heads-up - if 50 make the money, he has a 0.04 chance etc.
I worked out the weighted average of such probabilities, and fed it into a binomial "at least" formula, to approximate the odds of him making heads up at least once, twice, three times etc. See here for one of many explanations of this well known piece of maths:
http://onlinestatbook.com/2/probability/binomial.html
The numbers I listed are what came out of my spreadsheet for at least 5, at least 6, etc. The numbers rise very quickly as you will see (or as anyone who has done such calculations will know), but the basic aim is to show how ridiculous the suggestion is that his extreme success is largely down to variance.
I don't have the spreadsheet - it went when I replaced my laptop - and I don't feel the need to recreate it, but that explanation should be enough to allow anyone else as anal as me to do so.
By the way, I am not going to get into one of the verbal jousting matches that you are so fond of. I will leave your anticipated smart comeback unanswered.