HALSCRIB Hand Frequencies
Hand Frequencies
Most hand frequency tables produced by computer programs do not take flush hands into account because of the
barrier of the large amount of computing time required. HALSCRIB's tables.
These frequencies weight a particular hand's expected pegging value.
Hand Frequency Algorithm:
- for each candidate Pone hand
- compute expected hand value
- use Dealer discard-pair frequency table to compute expected crib value
- use table-lookup for expected pegging value
- choose best combined expected value
- accumulate discards into discard-pair frequency table
- accumulate kept cards into hand frequency table
- repeat above for each candidate Dealer Hand, but use Pone discard-pair table
- repeat above two steps until both hand frequency tables no longer change
Note that the cutoff frequency (granularity) for hands shown in the tables is 70,000.
Hand Frequencies
PONE Table
| HAND |
Frequency |
| A A 2 3 |
73808 |
| A 2 2 3 |
71028 |
| A 2 3 9 |
79472 |
| A 4 5 J |
81880 |
| A 4 10 J |
82176 |
| A 4 J Q |
74920 |
| A 6 7 8 |
88352 |
| 2 2 3 4 |
74236 |
| 2 3 4 5 |
97988 |
| 2 3 4 6 |
96708 |
| 2 3 4 8 |
71304 |
| 2 3 4 J |
72464 |
| 2 3 5 10 |
98744 |
2 3 5 J |
102628 |
| 2 4 6 9 |
72336 |
| 2 5 6 7 |
81360 |
| 2 6 7 8 |
104280 |
| 3 3 4 5 |
85256 |
| 3 4 5 6 |
106356 |
| 4 4 5 6 |
81008 |
| 4 5 5 6 |
88136 |
| 4 5 6 6 |
78824 |
| 4 5 6 9 |
107972 |
| 4 5 6 J |
110056 |
| 5 5 10 J |
70524 |
| 5 6 7 8 |
110712 |
| 5 7 8 9 |
92216 |
| 5 8 9 10 |
91852 |
| 5 9 10 J |
128504 |
| 5 10 J J |
72468 |
| 5 10 J Q |
177944 |
| 5 J Q K |
151072 |
| 6 7 7 8 |
76948 |
| 6 7 8 8 |
80980 |
| 6 7 8 9 |
113360 |
| 6 8 9 10 |
71204 |
| 6 9 10 J |
85416 |
| 7 7 8 9 |
73652 |
| 7 8 8 9 |
73428 |
| 7 8 9 9 |
74228 |
| 7 8 9 10 |
74316 |
| 9 10 J J |
70004 |
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DEALER Table
| HAND |
Frequency |
| A 2 2 3 |
73544 |
| A 2 3 4 |
95044 |
| A 2 3 9 |
84636 |
| A 2 3 10 |
77848 |
| A 2 3 J |
107124 |
| A 2 3 K |
99268 |
| A 4 10 J |
70496 |
| A 4 10 Q |
72908 |
| A 4 J K |
72620 |
| A 4 Q K |
79564 |
| A 6 7 8 |
91508 |
| A 6 8 9 |
70268 |
| 2 2 3 4 |
75940 |
| 2 3 3 4 |
81952 |
| 2 3 4 4 |
72624 |
| 2 3 4 K |
76376 |
| 2 6 7 8 |
97924 |
| 2 6 7 9 |
77124 |
| 4 4 5 6 |
81692 |
| 4 5 5 6 |
73784 |
| 4 5 6 6 |
86960 |
| 4 5 6 9 |
82896 |
| 4 5 6 10 |
73392 |
| 4 5 6 J |
114104 |
| 4 5 6 Q |
73780 |
| 4 5 6 K |
101996 |
| 5 9 10 J |
107260 |
| 5 10 J Q |
150708 |
| 5 10 Q K |
91612 |
| 5 J Q K |
138980 |
| 6 6 7 8 |
71844 |
| 6 7 7 8 |
86336 |
| 6 7 8 8 |
81488 |
| 6 7 8 9 |
154752 |
| 6 8 9 10 |
108932 |
| 6 9 10 J |
79684 |
| 7 7 8 9 |
70844 |
| 7 8 9 9 |
72124 |
| 7 8 9 10 |
111200 |
| 8 9 10 10 |
73776 |
| 9 10 10 J |
70824 |
| 9 10 J J |
80096 |
| 10 J J Q |
75844 |
| 10 J Q Q |
76056 |
| 10 J Q K |
101520 |
| J J Q K |
76620 |
| J Q K K |
79992 |
The 7 most frequent PONE hands are
- 3 4 5 6
- 4 5 6 9
- 4 5 6 J
- 5 6 7 8
- 5 9 10 J
- 5 10 J Q *
- 5 J Q K
The 7 most frequent DEALER hands are
- 4 5 6 J
- 5 9 10 J
- 5 10 J Q
- 5 J Q K
- 6 7 8 9 *
- 6 8 9 10
- 7 8 9 10
See Discard Frequencies.
Email me if you have any comments or questions.
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