牌九撲克的威⼒等級
簡介
以下兩種列表顯⽰荷官有多常安排每⼀⼿牌, 根據Trump Plaza的「house way賭場⽅式」。這個對於玩家給定任何的牌⾯、決定如何擊敗荷官的機 率, 發揮有⽤的幫助。以下是每⼀個欄位的解釋。
- 牌⾯: 荷官的牌⾯
- 莊家 PR: Banker power rating莊家威⼒等級。這是玩家當莊時贏、或當 莊時以這⼿牌⾯與荷官tie和局(和局算莊家贏)的機率。
- Probability: Probabilty that the dealer will form this hand.
- Player PR: Player power rating. This is the probability that the player will win against the dealer with this hand, acting as the player (ties lose).
- Banker PR: Banker power rating. This is the probability that the player will win or tie against the dealer with this hand, acting as the banker (ties win).
要決定任何給定牌⾯的價值, 將兩張牌與五張牌的威⼒等級PR相加。記得 利⽤化⾝—右側的欄位為依據、是否你扮演玩家或莊家的⾓⾊。依據這個 法則來設定牌⾯最⼤化 0.95*(兩張牌PR)*(五張牌PR) - (1 - 兩張牌PR)*(1 - 五張牌PR) 亦即 0.95x(兩張牌威⼒等級)x(五張牌威⼒等級) - (1 - 兩張牌威⼒等級)x(1 - 五 張牌威⼒等級)
兩張牌威⼒等級 2 card PR
牌⾯ |
排列組合總數 |
機率 |
玩家PR |
莊家PR |
3,2 |
221460 |
0.001437 |
0 |
0.001437 |
4,2 |
203436 |
0.00132 |
0.001437 |
0.002757 |
4,3 |
188708 |
0.001224 |
0.002757 |
0.003981 |
5,2 |
183192 |
0.001188 |
0.003981 |
0.005169 |
5,3 |
170756 |
0.001108 |
0.005169 |
0.006277 |
5,4 |
163256 |
0.001059 |
0.006277 |
0.007336 |
6,2 |
165882 |
0.001076 |
0.007336 |
0.008412 |
6,3 |
153212 |
0.000994 |
0.008412 |
0.009406 |
6,4 |
147932 |
0.00096 |
0.009406 |
0.010366 |
6,5 |
146594 |
0.000951 |
0.010366 |
0.011317 |
7,2 |
157212 |
0.00102 |
0.011317 |
0.012337 |
7,3 |
153030 |
0.000993 |
0.012337 |
0.01333 |
7,4 |
148574 |
0.000964 |
0.01333 |
0.014293 |
7,5 |
187184 |
0.001214 |
0.014293 |
0.015508 |
7,6 |
272000 |
0.001765 |
0.015508 |
0.017272 |
8,2 |
148254 |
0.000962 |
0.017272 |
0.018234 |
8,3 |
138024 |
0.000895 |
0.018234 |
0.01913 |
8,4 |
142064 |
0.000922 |
0.01913 |
0.020051 |
8,5 |
181434 |
0.001177 |
0.020051 |
0.021228 |
8,6 |
306278 |
0.001987 |
0.021228 |
0.023215 |
8,7 |
842290 |
0.005464 |
0.023215 |
0.02868 |
9,2 |
149448 |
0.00097 |
0.02868 |
0.029649 |
9,3 |
132726 |
0.000861 |
0.029649 |
0.03051 |
9,4 |
130592 |
0.000847 |
0.03051 |
0.031357 |
9,5 |
178440 |
0.001158 |
0.031357 |
0.032515 |
9,6 |
310056 |
0.002011 |
0.032515 |
0.034527 |
9,7 |
955930 |
0.006202 |
0.034527 |
0.040728 |
9,8 |
1996404 |
0.012952 |
0.040728 |
0.05368 |
10,2 |
177816 |
0.001154 |
0.05368 |
0.054833 |
10,3 |
156084 |
0.001013 |
0.054833 |
0.055846 |
10,4 |
147530 |
0.000957 |
0.055846 |
0.056803 |
10,5 |
189132 |
0.001227 |
0.056803 |
0.05803 |
10,6 |
329244 |
0.002136 |
0.05803 |
0.060166 |
10,7 |
929162 |
0.006028 |
0.060166 |
0.066194 |
10,8 |
2095794 |
0.013596 |
0.066194 |
0.07979 |
10,9 |
3779954 |
0.024522 |
0.07979 |
0.104313 |
J,2 |
200340 |
0.0013 |
0.104313 |
0.105612 |
J,3 |
178596 |
0.001159 |
0.105612 |
0.106771 |
J,4 |
165068 |
0.001071 |
0.106771 |
0.107842 |
J,5 |
200358 |
0.0013 |
0.107842 |
0.109142 |
J,6 |
333972 |
0.002167 |
0.109142 |
0.111308 |
J,7 |
880292 |
0.005711 |
0.111308 |
0.117019 |
J,8 |
1920682 |
0.01246 |
0.117019 |
0.12948 |
J,9 |
3679082 |
0.023868 |
0.12948 |
0.153348 |
J,10 |
6013718 |
0.039014 |
0.153348 |
0.192361 |
Q,2 |
223086 |
0.001447 |
0.192361 |
0.193809 |
Q,3 |
201330 |
0.001306 |
0.193809 |
0.195115 |
Q,4 |
187790 |
0.001218 |
0.195115 |
0.196333 |
Q,5 |
218142 |
0.001415 |
0.196333 |
0.197748 |
Q,6 |
345552 |
0.002242 |
0.197748 |
0.19999 |
Q,7 |
822830 |
0.005338 |
0.19999 |
0.205328 |
Q,8 |
1716490 |
0.011136 |
0.205328 |
0.216464 |
Q,9 |
3209682 |
0.020823 |
0.216464 |
0.237287 |
Q,10 |
5476880 |
0.035531 |
0.237287 |
0.272818 |
Q,J |
8204130 |
0.053224 |
0.272818 |
0.326042 |
K,2 |
246306 |
0.001598 |
0.326042 |
0.32764 |
K,3 |
259354 |
0.001683 |
0.32764 |
0.329322 |
K,4 |
280618 |
0.001821 |
0.329322 |
0.331143 |
K,5 |
345774 |
0.002243 |
0.331143 |
0.333386 |
K,6 |
503098 |
0.003264 |
0.333386 |
0.33665 |
K,7 |
981188 |
0.006365 |
0.33665 |
0.343015 |
K,8 |
1756866 |
0.011398 |
0.343015 |
0.354413 |
K,9 |
2995666 |
0.019434 |
0.354413 |
0.373847 |
K,10 |
4830696 |
0.031339 |
0.373847 |
0.405186 |
K,J |
7365056 |
0.047781 |
0.405186 |
0.452967 |
K,Q |
10123398 |
0.065675 |
0.452967 |
0.518642 |
A,2 |
297324 |
0.001929 |
0.518642 |
0.520571 |
A,3 |
354020 |
0.002297 |
0.520571 |
0.522868 |
A,4 |
420652 |
0.002729 |
0.522868 |
0.525597 |
A,5 |
497012 |
0.003224 |
0.525597 |
0.528821 |
A,6 |
748316 |
0.004855 |
0.528821 |
0.533676 |
A,7 |
1257676 |
0.008159 |
0.533676 |
0.541835 |
A,8 |
1997086 |
0.012956 |
0.541835 |
0.554791 |
A,9 |
3055428 |
0.019822 |
0.554791 |
0.574613 |
A,10 |
4510246 |
0.02926 |
0.574613 |
0.603873 |
A,J |
6463634 |
0.041933 |
0.603873 |
0.645806 |
A,Q |
8821842 |
0.057232 |
0.645806 |
0.703037 |
A,K |
11672044 |
0.075722 |
0.703037 |
0.77876 |
2,2 |
3437218 |
0.022299 |
0.77876 |
0.801058 |
3,3 |
3242090 |
0.021033 |
0.801058 |
0.822091 |
4,4 |
3051018 |
0.019793 |
0.822091 |
0.841885 |
5,5 |
2868802 |
0.018611 |
0.841885 |
0.860496 |
6,6 |
2700550 |
0.01752 |
0.860496 |
0.878016 |
7,7 |
3190270 |
0.020697 |
0.878016 |
0.898713 |
8,8 |
2960590 |
0.019207 |
0.898713 |
0.91792 |
9,9 |
2739766 |
0.017774 |
0.91792 |
0.935694 |
10,10 |
2531602 |
0.016424 |
0.935694 |
0.952117 |
J,J |
2210682 |
0.014342 |
0.952117 |
0.966459 |
Q,Q |
1895738 |
0.012299 |
0.966459 |
0.978758 |
K,K |
1589656 |
0.010313 |
0.978758 |
0.989071 |
A,A |
1684694 |
0.010929 |
0.989071 |
1 |
總計 |
154143080 |
1 |
|
|
五張牌威⼒等級 5 card PR
牌⾯ |
排列組合總數 |
機率 |
玩家PR |
莊家PR |
9,5 |
15540 |
0.000101 |
0 |
0.000101 |
9,6 |
15540 |
0.000101 |
0.000101 |
0.000202 |
10,5 |
46620 |
0.000302 |
0.000202 |
0.000504 |
10,6 |
139860 |
0.000907 |
0.000504 |
0.001411 |
10,7 |
62160 |
0.000403 |
0.001411 |
0.001815 |
J,5 |
93240 |
0.000605 |
0.001815 |
0.00242 |
J,6 |
310800 |
0.002016 |
0.00242 |
0.004436 |
J,7 |
404040 |
0.002621 |
0.004436 |
0.007057 |
J,8 |
155400 |
0.001008 |
0.007057 |
0.008065 |
Q,5 |
155400 |
0.001008 |
0.008065 |
0.009073 |
Q,6 |
543900 |
0.003529 |
0.009073 |
0.012602 |
Q,7 |
854700 |
0.005545 |
0.012602 |
0.018147 |
Q,8 |
854700 |
0.005545 |
0.018147 |
0.023692 |
Q,9 |
310800 |
0.002016 |
0.023692 |
0.025708 |
K,5 |
233100 |
0.001512 |
0.025708 |
0.02722 |
K,6 |
839160 |
0.005444 |
0.02722 |
0.032664 |
K,7 |
1460760 |
0.009477 |
0.032664 |
0.042141 |
K,8 |
1771560 |
0.011493 |
0.042141 |
0.053634 |
K,9 |
1538460 |
0.009981 |
0.053634 |
0.063615 |
K,10 |
543900 |
0.003529 |
0.063615 |
0.067143 |
A,6 |
1196580 |
0.007763 |
0.067143 |
0.074906 |
A,7 |
2451900 |
0.015907 |
0.074906 |
0.090813 |
A,8 |
3402900 |
0.022076 |
0.090813 |
0.112889 |
A,9 |
3593100 |
0.02331 |
0.112889 |
0.136199 |
A,10 |
2794260 |
0.018128 |
0.136199 |
0.154327 |
A,J |
992040 |
0.006436 |
0.154327 |
0.160762 |
2,2 |
4954104 |
0.03214 |
0.160762 |
0.192902 |
3,3 |
5092848 |
0.03304 |
0.192902 |
0.225942 |
4,4 |
5232960 |
0.033949 |
0.225942 |
0.259891 |
5,5 |
5373072 |
0.034858 |
0.259891 |
0.294748 |
6,6 |
5554764 |
0.036036 |
0.294748 |
0.330785 |
7,7 |
5761452 |
0.037377 |
0.330785 |
0.368162 |
8,8 |
6037932 |
0.039171 |
0.368162 |
0.407333 |
9,9 |
6308940 |
0.040929 |
0.407333 |
0.448262 |
10,10 |
6597264 |
0.0428 |
0.448262 |
0.491062 |
J,J |
7863168 |
0.051012 |
0.491062 |
0.542074 |
Q,Q |
8322672 |
0.053993 |
0.542074 |
0.596067 |
K,K |
8783544 |
0.056983 |
0.596067 |
0.65305 |
A,A |
14832140 |
0.096223 |
0.65305 |
0.749273 |
兩對, 33⾼ |
315504 |
0.002047 |
0.749273 |
0.75132 |
兩對, 44⾼ |
613296 |
0.003979 |
0.75132 |
0.755299 |
兩對, 55⾼ |
893376 |
0.005796 |
0.755299 |
0.761095 |
兩對, 66⾼ |
1155744 |
0.007498 |
0.761095 |
0.768592 |
兩對, 77⾼ |
1400400 |
0.009085 |
0.768592 |
0.777677 |
兩對, 88⾼ |
1544400 |
0.010019 |
0.777677 |
0.787697 |
兩對, 99⾼ |
1670688 |
0.010839 |
0.787697 |
0.798535 |
兩對, 10/10⾼ |
1779264 |
0.011543 |
0.798535 |
0.810078 |
兩對, JJ⾼ |
937008 |
0.006079 |
0.810078 |
0.816157 |
兩對, QQ⾼ |
880560 |
0.005713 |
0.816157 |
0.82187 |
兩對, KK⾼ |
806400 |
0.005232 |
0.82187 |
0.827101 |
222 |
825960 |
0.005358 |
0.827101 |
0.83246 |
333 |
823016 |
0.005339 |
0.83246 |
0.837799 |
444 |
820552 |
0.005323 |
0.837799 |
0.843122 |
555 |
818088 |
0.005307 |
0.843122 |
0.848429 |
666 |
816636 |
0.005298 |
0.848429 |
0.853727 |
777 |
815916 |
0.005293 |
0.853727 |
0.859021 |
888 |
815196 |
0.005289 |
0.859021 |
0.864309 |
999 |
814476 |
0.005284 |
0.864309 |
0.869593 |
10,10,10 |
814488 |
0.005284 |
0.869593 |
0.874877 |
JJJ |
815512 |
0.005291 |
0.874877 |
0.880168 |
QQQ |
816536 |
0.005297 |
0.880168 |
0.885465 |
KKK |
818040 |
0.005307 |
0.885465 |
0.890772 |
AAA |
635504 |
0.004123 |
0.890772 |
0.894895 |
順⼦, 6 ⾼ |
1407470 |
0.009131 |
0.894895 |
0.904026 |
順⼦, 7 ⾼ |
1157246 |
0.007508 |
0.904026 |
0.911533 |
順⼦, 8 ⾼ |
1093070 |
0.007091 |
0.911533 |
0.918625 |
順⼦, 9 ⾼ |
1082354 |
0.007022 |
0.918625 |
0.925646 |
順⼦, 10 ⾼ |
1073954 |
0.006967 |
0.925646 |
0.932614 |
順⼦, J ⾼ |
1064390 |
0.006905 |
0.932614 |
0.939519 |
順⼦, Q ⾼ |
1055156 |
0.006845 |
0.939519 |
0.946364 |
順⼦, K ⾼ |
1053224 |
0.006833 |
0.946364 |
0.953197 |
順⼦, A-5 |
965276 |
0.006262 |
0.953197 |
0.959459 |
順⼦, 10-A |
1025276 |
0.006651 |
0.959459 |
0.966111 |
同花, Q-7 ⾼ |
1326412 |
0.008605 |
0.966111 |
0.974716 |
同花, K ⾼ |
919220 |
0.005963 |
0.974716 |
0.980679 |
同花, A ⾼ |
2572158 |
0.016687 |
0.980679 |
0.997366 |
葫蘆 |
155346 |
0.001008 |
0.997366 |
0.998374 |
四張同點牌(鐵⽀) |
174768 |
0.001134 |
0.998374 |
0.999507 |
同花順 |
75914 |
0.000492 |
0.999507 |
1 |
五張同點牌 |
6 |
0 |
1 |
1 |
總計 |
154143080 |
1 |
|
|
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House Way賭場方式針對...
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撰寫者: Michael Shackleford