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Motif Backgammon Statistics

These statistics are the result of 100,289 games played on Motif Backgammon between June 1, 1996 and November 1, 1996.

  Roll Totals

This table shows the number of dice rolls in all games against Motif. The number of pips is the total numeric value rolled, counting twice for doubles. With random dice, you would expect to see an average of about 8.167 pips per roll.

  Rolls Pips Pips/Roll
  Players 1,612,834   13,167,843   8.164
  Motif 1,624,332   13,259,678   8.163
  Total 3,237,166   26,427,521   8.164

Distribution of Doubles Rolls

The next table shows the distribution of doubles rolls for all players and for Motif. The rate is the average number of times out of 36 that each roll appears.

  Players Motif Total
 
RollsRate
RollsRate
RollsRate
11
22
33
44
55
66
44,7100.998
44,6610.997
44,7030.998
44,9451.003
44,8861.002
44,6790.997
45,1331.000
45,0220.998
45,2591.003
45,2941.004
45,1601.001
44,7130.991
89,8430.999
89,6830.997
89,9621.000
90,2391.004
90,0461.001
89,3920.994
Total 
268,5845.995
270,5815.997
539,1655.996

Distribution of Mixed Rolls

The next table shows the distribution of mixed rolls for all players and for Motif. The rate is the average number of times out of 36 that each roll appears.

  Players Motif Total
 
RollsRate
RollsRate
RollsRate
21
31
32
41
42
43
51
52
53
54
61
62
63
64
65
89,9512.008
90,0792.011
89,4481.997
89,8412.005
90,0482.010
89,5922.000
89,2521.992
89,4671.997
89,4431.996
89,9212.007
89,3351.994
89,4161.996
89,4821.997
89,2531.992
89,7222.003
90,2782.001
89,9671.994
90,2812.001
90,6172.008
90,1651.998
90,3332.002
90,3472.002
90,4882.005
90,3192.002
90,1551.998
90,0611.996
90,1711.998
90,6002.008
89,9661.994
90,0031.995
180,2292.004
180,0462.002
179,7291.999
180,4582.007
180,2132.004
179,9252.001
179,5991.997
179,9552.001
179,7621.999
180,0762.003
179,3961.995
179,5871.997
180,0822.003
179,2191.993
179,7251.999
Total 
1,344,25030.005
1,353,75130.003
2,698,00130.004

Favorite Ways to Play the Opening Rolls

21
 24/23, 13/11
 24/21
 13/10
 24/22, 24/23
 13/11, 6/5
27%
26%
15%
12%
11%
31
 8/5, 6/5
95%
32
 13/8
 13/10, 13/11
 24/21, 13/11
 24/21, 24/22
38%
27%
18%
10%
41
 13/8
 24/23, 13/9
 24/20, 24/23
 13/9, 6/5
48%
20%
18%
9%
42
 8/4, 6/4
95%
43
 13/9, 13/10
 24/20, 13/10
 24/20, 24/21
 13/6
 24/21, 13/9
25%
24%
21%
18%
10%
51
 24/23, 13/8
 24/18
 13/8, 6/5
 13/7
66%
17%
9%
6%
52
 13/8, 13/11
 24/22, 13/8
 13/6
46%
32%
19%
53
 8/3, 6/3
86%
54
 24/20, 13/8
 13/8, 13/9
 24/15
43%
33%
22%
61
 13/7, 8/7
92%
62
 24/16
 24/18, 13/11
 13/5
 24/18, 24/22
 13/7, 13/11
53%
19%
9%
8%
6%
63
 24/15
 24/18, 13/10
 24/18, 24/21
 13/7, 13/10
63%
17%
10%
7%
64
 8/2, 6/2
 24/14
 24/18, 13/9
62%
24%
6%
65
 24/13
95%

Attempting to Enter from the Bar

The next table shows the success rate of entering a checker from the bar. The rate shown is the average number of times out of 36 that a checker is entered.

Open
Points		 Players Motif Total
TriesRate
TriesRate
TriesRate
 1
 2
 3
 4
 5
 6
74,53110.993
98,90520.066
93,05327.097
76,23332.052
45,11035.058
61636.000
51,66810.966
68,32820.015
76,25926.944
69,02632.055
44,90334.969
59836.000
126,19910.982
167,23320.045
169,31227.028
145,25932.053
90,01335.013
1,21436.000

Roll Totals in Pure Race Positions

This table shows the number of dice rolls by each player and the average pips per roll in positions where the opposing forces are disengaged.

  Rolls Pips Pips/Roll
  Players 259,368   2,117,652   8.165
  Motif 269,658   2,203,113   8.170
  Total 529,026   4,320,765   8.167

Probability of Winning the Race

This table shows the probability of the on-roll player winning the game at various pipcounts and leads over his opponent, in positions where the opposing forces are disengaged.

Lead On-roll Player's Pip Count
1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100 101-110
-20
-15
-10
-5
Even
+5
+10
+15
+20
+25
+30		 ---
---
5.9
29.6
74.9
92.8
97.5
98.8
99.7
99.7
100.0		 0.0
3.8
14.8
42.6
63.7
81.3
90.5
95.1
98.1
99.4
99.6		 3.4
11.6
27.0
45.1
64.2
77.7
88.3
94.0
97.2
98.0
98.9		 7.5
17.1
29.5
45.0
65.1
75.5
85.9
91.5
95.8
97.3
98.6		 10.7
19.9
31.3
46.4
62.8
73.0
83.2
90.4
93.3
96.7
99.2		 11.9
22.8
34.0
47.7
59.9
72.5
80.4
88.4
92.6
95.9
97.8		 14.1
25.0
35.9
47.5
59.7
69.1
78.8
86.6
90.6
95.9
97.9		 16.2
25.2
35.0
47.5
60.6
69.9
79.6
85.8
92.2
94.1
95.5		 18.1
24.5
34.0
46.6
59.7
69.0
76.3
83.8
91.9
93.6
90.3		 16.7
27.7
35.1
46.4
59.8
69.1
74.5
82.1
91.1
---
---		 18.5
25.7
36.3
46.9
61.6
65.3
68.0
---
---
---
---

 
Last Updated: September 2004

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