Zenfighter: EoR's HITTING 17 - 12 Table 1

[Zenfighter]

DEALER ACE

HITTING 17 ? 12

 

                    17                  16                 15                 14 

 

A               -0.526159           -0.022767           0.372833           0.413335	                

2               -1.54059            -0.923075          -0.14866            0.261903 

3               -2.47957            -1.66238           -0.879617          -0.133629  

4               -3.09179            -2.5294            -1.76085           -0.992203 

5                0.484363           -3.18177           -2.61486           -1.77724   

6                0.611435           -1.43148           -4.93327           -4.1737 

7               -1.39366            -0.412934          -0.22918           -3.78962 

8               -0.374445            0.53407            0.666609           0.789295 

9                0.566414            1.40156            1.48326            1.55614 

T                1.936               2.05704            2.01094            1.96143 

 

m               -8.89048            13.7958            16.4852            19.0872                                                                                                                                                                                                           

 

ss              36.362              41.5325            54.08254           54.6147                                                                                                                                                                                                                                        

 

Cks             -0.000002           -0.000016           0.000025           0.000001    

 

 

                   13                   12 

 

A               0.453488             0.461997 

2               0.277501             0.29604 

3               0.252729             0.316286 

4              -0.185153             0.252868 

5              -0.945684            -0.119559 

6              -3.19094             -2.21692 

7              -3.09083             -2.17095 

8              -2.83268             -2.19048 

9               1.62455             -2.04835 

T               1.90925              1.85477 

 

m              21.6199              24.0898 

 

ss             46.25464             32.86174 

 

Cks            -0.000019             0.000012 

 

 

 

 

A playable ace busts only 17% of the time and allows few opportunities
for standing with 12 ? 16 as the 11th column shows.

P. Griffin

[Zenfighter]

DEALER ACE
( HIT SOFT 17 )

HITTING 17 ? 12

 

	            17		    16	            15		    14	 

 

A		-0.606505	-0.113112	 0.105991	 0.167402 

2		-1.6715		-0.873526	-0.238552	 0.000696513 

3		-2.65878	-1.74407	-0.859577	-0.244212 

4		-3.32392	-2.62579	-1.75298	-0.878041 

5		 0.428601	-3.19323	-2.54304	-1.62685 

6		 0.385148	-0.0527561	-3.60473	-2.8709 

7		-1.26941	-0.577362	-0.381479	-3.89612 

8		-0.199071	 0.41922	 0.555857	 0.68413 

9		 0.792823	 1.3316		 1.41287	 1.49007 

T		 2.03065	 1.85725	 1.82641	 1.79346 

 

m   		-7.44212	 4.69777         7.9043  	11.0499 

 

ss		40.3851		36.9917		39.13488	42.48142 

 

Cks		-0.000014	-0.0000261	 0.000000 	 0.000015513 

 

 

                   13              12 

 

A		0.228028	0.258404 

2		0.0434489	0.0886796 

3	       -0.023596        0.0735684		 

4	       -0.20014		0.0738965 

5	       -0.716426       -0.0496961	 

6	       -1.91615	       -0.970926	 

7	       -3.1152	       -2.10798	 

8	       -2.89282        -2.16935	 

9		1.56273        -2.07054 

T		1.75753		1.71894 

 

m	       14.1218	       17.1245 

 

ss	       37.1500	       26.29408 

 

Cks	       -0.0000051       0.0000144 

 

 

 

When the dealer is compelled to hit soft 17, the chance of
busting the ace rises to 20%. The 11th column entries for 12 -16
are all at least 6.00 less than those on the previous page.
Because of the increase in busts and fewer 17?s produced,
standing and doubling both grow in attractiveness.

P. Griffin

[Zenfighter]

DEALER TEN

HITTING 17 ? 12

 

	            17              16              15              14 

 

A		-0.880385	-0.499204	-0.169937	-0.0801918 

2		-0.65774	-0.290299	 0.187328	 0.437433 

3		-1.74549        -0.804234	-0.31682	 0.170888 

4		-2.52299	-1.72785	-0.727902	-0.26136 

5		 1.24076	-2.56834	-1.75322	-0.767014 

6		 1.46854	 1.64458	-2.22867	-1.41493 

7		 1.03881	-0.710914	-0.536984	-4.20723 

8		-0.583247	-0.0566701	 0.0852692	 0.224917 

9		 0.0559196	 0.552391	 0.664224	 0.773766 

T		 0.646454	 1.11513         1.19918	 1.28093 

 

m              -16.9323	        -0.445861	 3.11027         6.63862		 

 

ss              17.41005	19.05456        15.22388        27.79884	                        

 

Cks	        -0.0000064      -0.0000201       0.0000082      -0.0000018		 

 

 

		    13              12 

 

A		 0.00847634	 0.09782 

2		 0.456437	 0.452561 

3		 0.404035	 0.404137 

4		 0.205549	 0.465538 

5		-0.26448	 0.236017 

6		-0.433355	 0.035243 

7		-3.21515	-2.05502 

8		-3.47997	-2.5215 

9		 0.88191	-2.85689 

T		 1.35957	 1.43552 

 

m 	        10.1258         13.5765		 

 

ss	        31.28749        27.6371	 

 

Cks	 	 0.00001334     -0.000014 

 

 

 

 

It is worth remarking on the magnitude of importance of the 7, 8, and 9 when contemplating
standing with 14, 13, and 12 against a Ten. Not only are they desirable cards for the player to draw,
but their removal produces the greatest increase in the dealer?s chance of busting.

P. Griffin

[Zenfighter]

DEALER 9

HITTING 17 ? 12

 

                    17              16              15              14 

 

A		-1.47098	-0.787469	-0.399846	-0.246801 

2		-1.81093	-0.903884	-0.341951	-0.00922512 

3		-2.13022	-1.25067	-0.285328	 0.209772 

4		-2.51414	-2.10067	-1.13638	-0.170142 

5		 1.30722	-2.48216	-2.09476	-1.14172 

6		 1.5611		 1.60039	-2.2176		-1.8784 

7		 1.79317	 1.95559	 1.91523	-1.90558 

8		 1.39714	-0.215158	-0.0734656	 0.0665087 

9		-0.0976993	 0.387773	 0.499984	 0.610477 

T		 0.491336	 0.949064	 1.03353	 1.11628 

 

m              -13.2924  	 2.96648         6.52536	10.0666		          

 

ss  	        26.5905	        23.76035        19.1516         13.9585 

 

Cks	  	 0.0000047      -0.000002        0.0000034	 0.00000958	 

 

 

                    13             12 

 

A		-0.0952248	0.054513 

2		 0.0966892	0.202905 

3		 0.473004	0.484708 

4		 0.304359	0.546543 

5		-0.187841	0.32045 

6		-0.925229	0.0255495 

7		-1.57162       -0.651078 

8		-3.5968	       -3.09857 

9		 0.718086      -2.97722 

T		 1.19614	1.27305 

 

m               13.571	       17.0357	 

 

ss              22.8717        26.05264 

 

Cks	        -0.0000166      0.0000005	 

 

 

 

 

 

A 9 behaves very much like a Ten, except that the dealer?s totals
gravitate toward 19 rather than 20. Since 19 is easier to beat, the player is
inclined to hit and double down more often than against a Ten.

P. Griffin

[Zenfighter]

DEALER 8

HITTING 17 ? 12

 

                    17              16              15              14    

 

A		-2.2913		-1.05088	-0.626284	-0.457921 

2		-2.33871	-1.38594	-0.314613	 0.0424502 

3		-2.85997	-2.43771	-1.34779        -0.255674                                                                                                                                               4		-2.47536	-2.19894	-1.76435	-0.7419	 

5		 1.37724	-2.36073	-2.04525	-1.60912 

6		 1.6552		 1.72456	-2.03732	-1.77118 

7		 1.83993	 1.92535	 1.90629	-1.89921 

8		 2.18038	 2.37604	 2.31794	 2.28689 

9		 1.78107	 0.201884	 0.325984	 0.448319 

T		 0.282875	 0.801591	 0.896347	 0.989336 

 

m              -12.3434	 	 5.22865         9.02769        12.8089 

 

ss              41.2946         34.31359        26.08121        19.5066  

 

Cks             -0.00002        -0.000002       -0.000005       -0.0000018 

 

 

                    13              12 

 

A		-0.291204	-0.12559 

2		 0.152055	 0.261938 

3		 0.120518   	 0.24809 

4		 0.282184	 0.563732 

5		-0.608089	 0.394101	 

6		-1.38626	-0.387063 

7		-1.62222	-1.22888 

8		-1.53287	-1.30068 

9		 0.567841	-3.09399 

T		 1.07951	 1.16709 

 

m	        16.5563	        20.2719	 

 

ss	        12.45866        18.99195 

 

Cks             -0.000005        0.000018 

 

 

 

 

The fact that hard 17 is the most volatile of the stiff hitting situations is revealed by
the 12th column figure of 41.0. A player who split three eights and drew (8,9), (8,7,9),
and (8,9) would be more than 5% better off to hit the last total of 17 even though the
hand was dealt from a full pack!

P. Griffin

[Zenfighter]

DEALER 7

HITTING 17 ? 12

 

	            17              16              15              14 

	 

A		-3.65244	-1.188292	-0.951247	-0.762106 

2		-2.84445	-1.92674	-0.813842	 0.0342686 

3		-3.30937	-2.43861	-1.89079	-0.753367 

4	        -3.70879	-2.7835		-2.33366	-1.76462 

5		 0.778057	-2.32616	-1.96323	-1.58978 

6		 1.16549	 1.79815	-1.9439		-1.61114 

7		 1.46822	 2.10328	 2.11507	-1.67918 

8		 1.6715		 2.32168	 2.28691	 2.25211 

9		 2.00828	 2.76887	 2.69497	 2.64796 

T		 1.60587	 0.591489	 0.699928	 0.806439 

 

m	       -37.7856		 6.06516        10.1666	        14.249 

 

ss              67.4001         68.4768         37.1472         26.89131 

 

Cks             -0.000023        0.000006       -0.000007       -0.0000984 

 

 

	            13              12  

 

A		-0.575317	-0.390055 

2		 0.149362	 0.264311 

3		 0.118095	 0.254583	 

4		-0.60826	 0.282011 

5		-1.09662	-0.0375973 

6		-1.29182	-0.853505 

7		-1.39894	-1.08291 

8		-1.53387	-1.24594 

9		 2.59787	-1.23402 

T		 0.909873	 1.01078 

 

m	        18.2951	        22.3124 

 

ss              17.97879	 9.4308 

 

Cks             -0.000008       -0.0000023 

 

 

 

 

Standing with 12 against a 7 will almost never be justified as we can see
from the large value of m in the 11th column and small value of ss in the
12th column. Note that otherwise the 9 is almost always a more important
high card than the Ten.

P. Griffin

[Zenfighter]

DEALER 6

HITTING 17- 12

 

	            17              16              15              14 

 

A		-2.12237	-3.7186		-3.11605	-2.77568 

2		-3.55999	-2.96388	-2.19559	-1.61556	 

3		-4.07899	-3.39928	-2.72641	-1.92184 

4		-4.49699	-3.76551	-3.08109	-2.37189 

5		-0.747853	-4.08332	-3.39715	-2.67979 

6		 1.06915	 1.3486		-2.24133	-1.73961 

7		 1.38988	 1.69154	 1.7971		-1.85057 

8		 1.6095		 1.92409	 2.01127	 2.04409 

9		 1.92075	 2.23805	 2.26603	 2.26808 

T		 2.25423	 2.68208	 2.67081	 2.66069 

 

m              -52.0909        -27.2913        -20.266 	       -13.7312 

 

ss              84.2792        107.1855         88.9636         70.90547    

 

Cks		 0.000007 	 0.00001	 0.00002        -0.00001 

 

 

                    13              12  

 

A		-2.43797	-2.10256 

2		-1.35846	-1.10226 

3		-1.32021	-1.04285 

4		-1.5445		-0.92433 

5		-1.95276	-1.10565 

6		-1.21765	-0.709105 

7		-1.40354	-0.93738 

8		-1.65199	-1.19788 

9		 2.29867	-1.3997 

T		 2.6471		 2.63043 

 

m	        -7.23655        -0.778175 

 

ss              55.2249         41.2524 

 

Cks             -0.00001         0.000005  

 

 

 

 

[Zenfighter]

DEALER 6
(HIT SOFT 17)

HITTING 17-12

 

                    17              16              15              14 

 

A		-2.31737	-2.72365	-2.22634	-1.93771 

2              	-3.61291	-3.04036	-2.34249	-1.84473             

3		-4.16052	-3.4975		-2.77473	-2.0358		 

4		-4.60463	-3.88587	-3.14667	-2.3827 

5		-0.771482	-4.15438	-3.42656	-2.66426 

6		 1.0783		 1.29814	-2.27114	-1.72802 

7		 1.43446	 1.67439	 1.77986	-1.84902 

8		 1.67894	 1.93094	 2.01409	 2.04593 

9		 2.02134	 2.27522	 2.29626	 2.29579 

T		 2.31347	 2.53077	 2.52443	 2.52513 

 

m 	       -51.3769        -31.7856        -24.5998        -17.8062 

 

ss              89.0647        100.2665         82.93216        65.4443  

 

Cks              0.000008	 0.00001 	 0.00000 	 0.00000  

 

 

                    13              12   

 

A		-1.65184	-1.36843 

2		-1.56889	-1.29377 

3		-1.51467	-1.21696 

4		-1.61929	-1.07811 

5		-1.89532	-1.12701 

6		-1.16637	-0.621061 

7		-1.36529	-0.860544 

8		-1.63168	-1.14119 

9		 2.32387	-1.35932 

T		 2.52237	 2.5166 

 

m              -11.0524         -4.3337 

 

ss              50.43514        37.0693 

 

Cks              0.00000         0.00005 

 

 

 

 

When the dealer hits soft 17 the 6 breaks almost 2% more often than
otherwise. Standing and soft doubling become more frequent activities.

P. Griffin

[Zenfighter]

DEALER 5

HITTING 17 ? 12

 

                    17              16              15              14  

 

A		-1.86068	-1.37254	-0.970105	-0.762266 

2		-2.53453	-2.99097	-2.28947	-1.82321 

3		-4.14525	-3.50722	-2.7854		-2.05727 

4		-4.6622		-3.9485		-3.21909	-2.47009 

5		-0.923629	-4.29114	-3.55715	-2.80251 

6		-0.425223	 0.00702605	-3.44178	-2.74902 

7		 1.39157	 1.5876		 1.69594	-1.91048 

8		 1.74683	 1.96248	 2.03194	 2.09863 

9		 2.01445	 2.24038	 2.28622	 2.30048 

T		 2.34966	 2.57822	 2.56222	 2.54393 

 

m	       -47.8542	       -28.5353        -21.643         -14.8075 

 

ss              80.9686         95.1149         87.2946         68.88273 

 

Cks             -0.000022       -0.00000395     -0.000015       -0.000016 

 

 

                    13              12  

 

A		-0.579711	-0.399874 

2		-1.5698		-1.31728 

3		-1.55172	-1.27779 

4		-1.69852	-1.16788 

5		-2.01477	-1.22206 

6		-2.02104	-1.27457 

7		-1.39298	-0.87954 

8		-1.59083	-1.13122 

9		 2.29254	-1.39416 

T		 2.53171	 2.51609 

 

m               -8.37678        -1.98492 

 

ss	        51.6021         37.32954 

 

Cks              0.000009       -0.000014   

 

 

 

 

The 11th column full deck advantage figures on pages 74 ? 85 come from
exact 52 card calculations, without the dealer?s up card or any of the player?s cards
removed. The effects of removal (first 10 columns) are, for hitting totals of 17 ? 12,
exact figures obtained by comparing the 11th column figure with the appropriate 51
card deck advantage.

P. Griffin

[Zenfighter]

DEALER 4

HITTING 17 ? 12

 

                    17              16              15              14  

 

A		-1.88782	-1.41422	-1.01239	-0.837612 

2		-1.78453	-1.51699	-0.917606	-0.515271 

3		-3.08726	-3.46972	-2.74094	-2.01496 

4		-4.69611	-3.97902	-3.23805	-2.50086 

5		-1.00517	-4.35281	-3.60972	-2.86625 

6		-0.608701	-0.211165	-3.63735	-2.93383 

7		-0.0254528	 0.351179	 0.588561	-2.89234 

8		 1.707		 1.93265	 1.9759		 2.04028 

9		 1.9783		 2.23439	 2.24937	 2.28728 

T		 2.35244	 2.60643	 2.58556	 2.55839 

 

m 	       -44.6251        -24.4636        -18.3209        -11.8108 

 

ss              68.678          87.18925        82.1758         72.04567   

 

Cks              0.0000162       0.000014        0.000015       -0.000003  

 

 

                    13              12  

 

A		-0.627432	-0.442525 

2		-0.36093	-0.229466 

3		-1.52733	-1.27882 

4		-1.74467	-1.21332 

5		-2.10488	-1.30993 

6		-2.209		-1.45093 

7		-2.22966	-1.52945 

8		-1.59924	-1.13468 

9		 2.29272	-1.42263 

T		 2.52761	 2.50293 

 

m               -5.37711         0.652381 

 

ss              53.552          37.88635      

 

Cks              0.000018       -0.000031   

 

[Zenfighter]

DEALER 3

HITTING 17 ? 12

 

                    17              16              15              14 

 

A		-1.90624	-1.45334	-1.01251	-0.857938 

2		-1.86041	-1.3045		-0.697699	-0.337793 

3		-2.3697		-2.06704	-1.45909	-0.81705 

4		-3.64045	-3.98711	-3.2493		-2.49714 

5		-1.06665	-4.46385	-3.71528	-2.95299	 

6		-0.674933	-0.298143	-3.73405	-3.01373 

7		-0.229311	 0.234025	-0.461686	-3.01093 

8		 0.310966	 0.683309	 0.877153	 1.07256 

9		 2.04728	 2.26886	 2.26782	 2.2675 

T		 2.34736	 2.59695	 2.56532	 2.53688 

 

m              -41.4418        -21.3389        -15.549          -9.73056  

 

ss              53.9375         76.6445         74.3943         66.6568    

 

Cks             -0.000008        0.000011        0.00001         0.000009           

 

 

                    13              12  

 

A		-0.680733	-0.468455 

2		-0.19499	-0.0560603 

3		-0.40738	-0.25145 

4		-1.74711	-1.25312 

5		-2.18977	-1.40809 

6		-2.29553	-1.55669 

7               -2.33884	-1.6467 

8		-2.44569	-1.8058 

9		 2.2906		-1.40942  

T		 2.50236	 2.46394 

 

m               -3.54105         2.56707    

 

ss              55.5300         38.5051                     

 

Cks             -0.000003       -0.0000253 

 

 

 

 

[Zenfighter]

DEALER 2

HITTING 17 ? 12

 

                    17              16              15              14 

 

A		-1.92274	-1.43162	-0.980923	-0.7951 

2		-1.86358	-1.37091	-0.727776	-0.362661 

3		-2.38475	-1.82963	-1.22489	-0.598743 

4		-2.92687	-2.56341	-1.95857	-1.31055 

5		-0.0327425	-4.47435	-3.73659	-2.97738 

6		-0.724332	-0.371687	-3.81855	-3.10063 

7		-0.297107	 0.0878199	 0.301329	-3.17213 

8		 0.208907	 0.607502	 0.791211	 0.97125	 

9		 0.663855	 1.05649	 1.2058		 1.35224 

T		 2.31984	 2.57245	 2.53724	 2.49843 

 

m	       -38.2286        -17.6677        -12.1932         -6.77434  

 

ss              44.04844        61.96844        63.2928         59.1213 

 

Cks		 0.0000005	 0.0000049	 0.000001	 0.000016 

 

 

                    13              12 

 

A		-0.644221	-0.470851 

2		-0.261085	-0.117387 

3		-0.208378	-0.0681375 

4		-0.647969	-0.22363 

5		-2.20229	-1.4274 

6		-2.3651		-1.63122 

7		-2.48485	-1.79543 

8		-2.53713	-1.8975 

9		 1.4998		-2.05301 

T		 2.4628		 2.42114 

 

m               -1.32547         4.49016 

 

ss              50.5127         39.4751 

 

Cks             -0.000023       -0.0000055 

 

 

 

 

[Zenfighter]

Playing correlations for your particular hands.

In order to obtain these ones you will need:

1) The EoR?s table with the ss
2) The ss of the tags of your card counting system
3) Griffin?s correlation formula
4) A pocket calculator

Example:

16 vs T correlation?

Ci = (Sum Pi*Ei)/ (sqr (cc^2 * ss)

For the Hilo player we have:

Sum Pi*Ei = 1*(-0.290299) + 1*(-0.804234) + 1*(-1.72785) + 1*(-2.56834) + 1*(1.64458) + (-1)*(-0.499204) + 4 (-1)*(1.11513) = -7.707459

Hilo tags sum of squares = (1) ^2 + (1) ^2 + ?..+ 4* (-1) ^2 = 10

So we have then:

C = -7.707459 / sqr (10* 19.05456) = 0.558357 (disregard the negative sign)

By rounding you have:

16 vs T; correlation = .56 the figure that Don give us in the Illustrious 18 Chart.

As you can see a pocket calculator will suffice.

You can do it by yourself, just try.

Sincerely

Z