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	<title>acepoint's home &#187; Bearoffs</title>
	<atom:link href="http://www.achim-mueller.org/category/backgammon/bearoffs/feed" rel="self" type="application/rss+xml" />
	<link>http://www.achim-mueller.org</link>
	<description>Pol-IT, Chess, Backgammon, Poker</description>
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		<item>
		<title>Guidelines</title>
		<link>http://www.achim-mueller.org/guidelines</link>
		<comments>http://www.achim-mueller.org/guidelines#comments</comments>
		<pubDate>Thu, 31 May 2007 11:31:32 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=403</guid>
		<description><![CDATA[&#160;

2 vs 2 checkers (Chuck Bower)


If your opponent is off in 75% or more rolls it&#8217;s a redouble/pass.
If your opponent has more winning rolls (better distribution), it&#8217;s a redouble/pass
If you have more wining rolls, it&#8217;s always a take
If there is an identical distribution it&#8217;s only a take when you have proper redoubles after surviving opponents [...]]]></description>
		<wfw:commentRss>http://www.achim-mueller.org/guidelines/feed</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>3 vs 3 (basics)</title>
		<link>http://www.achim-mueller.org/3-vs-3-basics</link>
		<comments>http://www.achim-mueller.org/3-vs-3-basics#comments</comments>
		<pubDate>Tue, 29 May 2007 11:37:19 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=405</guid>
		<description><![CDATA[Checker distribution
We start with an easy example and compare a few positions with an equal pipcount of the player but with different checker distribution on one side:


























































Pip counts: gnubg 11, ace 13
Position ID: UgAAEAwAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles




Cube decision


2-ply cubeless equity
+0.119




0.559 0.000 0.000 &#8211; 0.441 0.000 0.000


Cubeful equities:


1.
No double
+0.188



2.
Double, pass
+1.000
+0.812


3.
Double, take
-0.097
-0.285


Proper cube action:
No redouble, [...]]]></description>
		<wfw:commentRss>http://www.achim-mueller.org/3-vs-3-basics/feed</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>3 vs 3 (3 pips behind)</title>
		<link>http://www.achim-mueller.org/3-vs-3-3-pips-behind</link>
		<comments>http://www.achim-mueller.org/3-vs-3-3-pips-behind#comments</comments>
		<pubDate>Thu, 24 May 2007 13:08:20 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=439</guid>
		<description><![CDATA[Player on roll is 3 pips behind 


In this section we take a look at positions where the player on roll is behind 3 pips. This is probably the most difficult chapter. I took two positions for a rollers pipcount of 10, 11, 12, 13, 14 and 15 each.&#160;




























































Pip counts: gnubg 7, ace 10
Position ID: [...]]]></description>
		<wfw:commentRss>http://www.achim-mueller.org/3-vs-3-3-pips-behind/feed</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>3 vs 3 (4 pips behind)</title>
		<link>http://www.achim-mueller.org/3-vs-3-4-pips-behind</link>
		<comments>http://www.achim-mueller.org/3-vs-3-4-pips-behind#comments</comments>
		<pubDate>Thu, 24 May 2007 13:05:59 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=436</guid>
		<description><![CDATA[Player on roll is 4 pips behind&#160;

In this section we take a look at positions where the player on roll is behind 4 pips. Listed are positions from 10-6, 11-7, 12-8, 13-9, 14-10 and 15-11 pips.




























































Pip counts: gnubg 6, ace 10
Position ID: FQAAIAMAAAAAAA Match ID: UQkAAAAAAAAA




&#8226; ace doubles





Cube decision


2-ply cubeless equity
 +0.553
&#160;


&#160;
0.776 0.000 0.000 &#8211; [...]]]></description>
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		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>3 vs 3 (mirrors)</title>
		<link>http://www.achim-mueller.org/3-vs-3-mirrors</link>
		<comments>http://www.achim-mueller.org/3-vs-3-mirrors#comments</comments>
		<pubDate>Thu, 24 May 2007 12:56:05 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=429</guid>
		<description><![CDATA[Mirrored positions
In this part we&#8217;ll only cover positions where green and white have a mirrored position.


























































Pip counts: gnubg 10, ace 10
Position ID: hgAAYAgAAAAAAA Match ID: UQkAAAAAAAAA


• ace doubles




Cube decision


2-ply cubeless equity
+0.535




0.767 0.000 0.000 &#8211; 0.233 0.000 0.000


Cubeful equities:


1.
Double, take
+0.966



2.
Double, pass
+1.000
+0.034


3.
No double
+0.621
-0.345


Proper cube action:
Redouble, take



Position 622 looks like the only one with 10 pips which is [...]]]></description>
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		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>3 vs 3 (three on ace)</title>
		<link>http://www.achim-mueller.org/3-vs-3-three-on-ace</link>
		<comments>http://www.achim-mueller.org/3-vs-3-three-on-ace#comments</comments>
		<pubDate>Thu, 24 May 2007 12:10:20 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=421</guid>
		<description><![CDATA[Three opponent checkers on the acepoint
We start with three similar positions and a bad distribution for the roller (441, 551, 661):


























































Pip counts: gnubg 3, ace 9
Position ID: BwAAEAMAAAAAAA Match ID: UQngAAAAAAAA

• ace doubles




Cube decision


2-ply cubeless equity
+0.541
(Money:  +0.541)



0.771 0.000 0.000 &#8211; 0.229 0.000 0.000


Cubeful equities:


1.
Double, pass
+1.000



2.
Double, take
+1.095
+0.095


3.
No double
+0.598
-0.402


Proper cube action:
Redouble, pass






























































Pip counts: gnubg 3, ace [...]]]></description>
		<wfw:commentRss>http://www.achim-mueller.org/3-vs-3-three-on-ace/feed</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>2 vs 2 Checkers</title>
		<link>http://www.achim-mueller.org/2-vs-2-checkers</link>
		<comments>http://www.achim-mueller.org/2-vs-2-checkers#comments</comments>
		<pubDate>Thu, 24 May 2007 11:10:22 +0000</pubDate>
		<dc:creator>ace</dc:creator>
				<category><![CDATA[Backgammon]]></category>
		<category><![CDATA[Bearoffs]]></category>

		<guid isPermaLink="false">http://www.achim-mueller.org/?p=390</guid>
		<description><![CDATA[Two vs. two checkers
The usage of this table is pretty easy. Search for the position of your checkers at very left column and for your opponents checkers at the top. The cell number itself will give you the cubeless winning probablity. For the colors take a look at the caption below.





11
21
31
41
22
32
51
42
52
33
43*
61
53
62
44
63
54
64
55
65
66


11/21
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100
100


31
94,4
94,8
95,5
96,0
96,1
96,4
97,1
97,4
97,7
97,8
98,0
98,3
98,5
98,8
99,1
99,4


41
80,6
81,6
84,3
86,0
86,5
87,6
89,7
90,8
91,9
92,4
93,0
94,1
94,6
95,7
96,8
97,8


22
72,2
73,8
77,6
79,9
80,7
82,3
85,3
86,9
88,4
89,2
90,0
91,5
92,3
93,8
95,4
96,9


32
69,4
71,1
75,4
77,9
78,8
80.5
83,9
85,6
87,3
88,1
89,0
90,7
91,5
93,2
94,9
96,6


51/42
63,9
65,9
70,9
73,9
74,9
76,9
80,9
82,9
85,0
86,0
87,0
89,0
90,0
92,0
94,0
96,0


52
52,8
55,4
61,9
65,8
67,1
69,7
74,9
77,5
80,1
81,4
82,8
85,4
86,7
89,3
91,9
94,5


33/43*
47,2
50,2
57,5
61,9
63,3
66,3
72,1
75,1
78,0
79,5
80,9
83,9
85,3
88,3
91,2
94,1


61
41,7
44,9
52,9
57,8
59,4
62,6
69,1
72,3
75,5
77,1
78,7
82,0
83,6
86,8
90,1
93,3


53
38,9
42,2
50,5
55,5
57,2
60,5
67,2
70,5
73,8
75,5
77,2
80,5
82,2
85,5
88,9
92,4


62
36,1
39,6
48,3
53,5
55,3
58,7
65,7
69,2
72,7
74,4
76,2
79,6
81,4
84,9
88,5
92,1


44
30,6
34,3
43,8
49,4
51,3
55,1
62,6
66,4
70,2
72,1
79,6
77,7
79,7
83,5
87,3
91,2


63/54
27,8
31,6
41,2
46,8
48,7
52,7
60,4
64,2
68,1
70,0
71,9
75,8
77,8
81,7
85,7
89,8


64
22,2
26,1
36,0
41,8
43,8
47,7
55,6
59,5
63,4
65,5
67,4
71,4
73,4
77,6
82,0
86,5


55/65
16,7
20,8
31,3
36,3
39,7
43,8
52,2
56,4
60,6
62,7
64,8
69,0
71,3
75,8
80,0
85,3


66
11,1
14,8
24,2
29,8
31,6
35,4
42,9
46,5
50,3
52,4
54,3
58,1
60,4
64,9
69,7
75,4






Explanation



Red:
No Double/Beaver


Green:
Double/Take


Orange:
Double/Take (though less than25% [...]]]></description>
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