Probability and Statistics

 Distribution of points per game

 From: Roland Sutter Address: B@ckgammon.com Date: 20 June 1999 Subject: cubeful distribution Forum: rec.games.backgammon Google: 376c496f.94228321@news.which.net

```Hi
I rolled out the starting position 50.000 times using Jellyfish
Level 5 to produce the table below to show cubeful distribution.

Cube Level        1       2      4       8      16      32      Total
Cashes          37.83   13.54   1.78    0.28    0.03    0.01    53.47
Single           0.00   26.63   5.03    0.59    0.06            32.31
Gammon           1.45    10.9   1.17    0.10    0.01            13.63
Backgammon       0.07    0.46   0.04    0.01    0.01             0.59
100.00

Just in case it's not clear. Cashes are games that end with a cube
turn.  Singles Gammons and Backgammons are games played to conclusion.

I'm not technically minded enough to make use of these numbers, but
would they maybe affect match equity tables etc or could they shed
any sort of light on recube vig?

Roland Sutter
```

### Probability and Statistics

Average game and match length  (JP White, Dec 2000)
Average luck of each roll  (Timothy Chow+, Mar 2013)
Average luck of each roll  (Jørn Thyssen+, Feb 2004)
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Chance of rolling x doubles in y rolls  (Raccoon+, July 2007)
Chance of rolling x or more pips in y rolls  (Tom Keith, Feb 2004)
Clumping of random numbers  (Gary Wong, Sept 1998)
Counting shots  (Koyunbaba+, June 2007)
Counting shots  (John Little+, Mar 2007)
Distribution of points per game  (Roland Sutter, June 1999)
Distribution of points per game  (Stig Eide+, Sept 1995)
Expected variation in points after a series of games  (Achim Müller+, Feb 1999)
How many games to decide who's better?  (Stephen Turner, Mar 1997)
How often is too often?  (Gary Wong, Oct 1998)
Losing after bearing off 14 checkers  (Daniel Murphy, July 1999)
Number of games per match  (Jason Lee+, Jan 2005)
Number of rolls to enter x checkers from bar  (Michael Depreli+, Mar 2011)
Visualizing odds  (Daithi, Mar 2011)