Win Chances for Side Hit during bearoff | ||||
Perfect bearoff (spares on 6,5,4) | ||||
Perfect bearoff (no-miss bearoff) | ||||
Men Off | Win Chances
Perfect
|
Weaver Formula
(9X - 23)
|
Stick Rule of Thumb | Win Chances
Ace Point Open
|
0 | 3.0% | N/A | 2.3% | |
1 | 4.3% | N/A | 3.0% | |
2 | 6.5% | N/A | 4.8% | |
3 | 10.2% | N/A | 7.5% | |
4 | 15.4% | N/A | 11.4% | |
5 | 21.9% | 22% | 16.5% | |
6 | 30.7% | 31% | 30% | 23.7% |
7 | 39.0% | 40% | 40% | 33.0% |
8 | 49.2% | 49% | 50% | 42.8% |
9 | 57.9% | 58% | 60% | 47.3% |
10 | 68.2% | 67% | 70% | 62.1% |
11 | 75.7% | 76% | 72.6% | |
12 | 82.6% | 85% | 79.1% | |
13 | 79.1% | N/A | 76.7% | |
14 | 91.5% | N/A | 91.5% | |
I like Paul Weaver's formula, which is 9 X - 23. Only applies for 5 men off through 12 off. Example. 6 off would (9 x6) - 23 or 31%.
I also like Paul Lamford's approximation. Even though it is too inaccurate to be really useful, it is so easy to remember!! It is 5-25-75. 5% for one man off. Then add 5% steps until 5 off or 25%, Then you add 10% steps until 75%. Then you add 5% steps again. So would be 5-10-15-20-25. Then 35-45-55-65-75. Then 80-85-90-95. To be fair he stated to subtract 2-3% win chances when opponent had perfect bearoff (6/5/4 spares). When you do this his formula is a bit better than the chart would indicate.
Stick further advises these adjustments to the chart:
Each spare away from perfect adds / deducts about 1.25% win chances. (** applies to both sides)
Deduct 6-7% for open ace point.
Regarding the open ace point, I also like a rule of thumb that Frank Talbot gave me. He said to treat an open ace point as if you bore off one less man.
***********
Now for the cube guidelines. First, Phil and Stick reject the old Robertie rule of thumb. Forget you ever learned to recube when 5 less checkers!
- No Redouble / Take
- 5 fewer checkers off than opponent
- Opponent's checker on bar
- perfect bearoff (all on ace-duece)
- perfect bearoff (6 point open and no gaps)
- Redouble / Take
- 4 fewer checkers off than opponent
- Opponent's checker on bar
- perfect bearoff (all on ace-duece)
- perfect bearoff (6 point open and no gaps)
- Redouble / Pass
- 3 fewer checkers off than opponent
- Opponent's checker on bar
- perfect bearoff (all on ace-duece)
- perfect bearoff (6 point open and no gaps)
- Redouble / Maybe Take or Maybe Pass
- 3 fewer checkers off than opponent
- Opponent's checker on bar
- perfect bearoff (all on ace-duece)
- shot chances. Depends on how likely you are to hit a shot from the bar
************
With ace point open, you double earlier.
Redouble with 5 fewer checkers off instead of 4.
Generally a take if 7 or more checkers borne off.
Generally a pass if 6 or less checkers borne off.
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