Anlyzis of Backgammon Tournament on 2014-11-19
players played a total of
Dice were rolled
times, that resulted in
doubles, out of which
6631 is a very high number, it's well over a few dozens, it's plenty!
Actually, it's so close to infinity that all results MUST match the theoretical value calculated from probabilities!
Let's check it out:
Clearly, we had to dial down a notch the number of double-sixes we give away, because
measured a too high value (see previous posts).
It's still a bit higher than the expected number (184), but I hope we can get away with it.
To compensate this, the number of doubles is a bit lower than expected (1105), so we took away two doubles for every duoble-six we gave.
Now, let's see if we were able to fix the dice so our precious designated winners would win!
won the tournaments, he has the highest number of rolls:
doubles (should have been 37),
double-sixes (should have been 6).
Nice! We didn't want him to win at all! We did take away half of his double-sixes!
But he is too good, we will have to give him even less double-sixes next time.
doubles (vs 35),
double sixes (vs 6).
Well, you should have beaten
! Shame on you!
However, the biggest disappointment was
, you were given
double-sixes, the most among all players!
And all you could do is a lousy 33rd place??
Ok, maybe we gave you a bit too few doubles in total (
). For the
rolls you had you should have got 29 doubles.
But you got
double-sixes, man! Instead of 4.75, we almost doubled your chances for a D6!
(Actually, we did double your chances, but due to a bug in the game 9.5 was rounded downwards, so you just missed your 10th D6)
! You were given
double-sixes (the second highest number of D6's),
doubles in total.
rolls you had, you should have got only 24 doubles and 4 D6's.
We wanted you to win sooooo bad! Because of your nick name!
And you just won't deliver! 37th??? Really? Even
finished before you:
doubles (instead of 29),
D6's (instead of 5).
We either suck so bad at fixing matches or you who we favor just don't listen. Don't you want to win?
By disclosing how we fix the dice I risk getting fired.
So this message will self-destruct in a few hours.
If it didn't then they might have fired me before that.