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

[bjmagic]

> 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

Another typo. Hard 16 EOR should be -1.88292 and the SS should be 48.4768

[Zenfighter]

No contradiction again with my working papers. A big volumen of typing is proven to be dangerous.See if you find another one, we will correct absolutely everything. Thanks again for your proofreading.

Sincerely

Z

[Zenfighter]

DEALER 7

HITTING 17 ? 12

 

	            17              16              15              14 

	 

A		-3.65244	-1.88292	-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         48.4768         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 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]

After checking all the entries from tables 1 through 6 against my working papers, here is the
complete list of typos found:

 

Table 2  Dealer A (h s17) 

 

12 v A     7 = -2.10978     wrong typed = -2.10798  

 

 

Table 3	Dealer Ten 

 

13 v T     9 = 0.880191	    wrong typed = 0.88191 

 

 

Table 6 Dealer 7 

 

16 v 7    A = -1.88292	    wrong typed = -1.188292 

 

16 v 7    m = 48.4768	    wrong typed = 68.4768 

 

 

Tables 7 through 12 will be completely debugged also.

My apologies to all.

Sincerely

Z

[bjmagic]

> DEALER TEN
> HITTING 17 ? 12
> 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

Unless I have a math error. I don't think that the EOR for hard 13 v T adds up to .00001334.

My addition says .0017323.

Am I confused or is this a typo.

P.S. What's the possibility of getting a copy of these tables posted in excel.

[Zenfighter]

Surprised by your Cks result, I?ve redone the whole table again with exactly the same results as printed. All the entries are fine. I couldn?t believe my eyes, given that I double checked all ss and Cks. Despite the fact that any given EoR?s table is fair enough if the checksum stays within [+/- 0.01], for the tables printed a benchmark of 0.0000 accuracy was established. For handling these types of data, computer algorithms and/or powerful statistical calculators are better than standard pocket calculators, obviously.

Maybe you?ll be able to perform a couple of calculations with Excel, but I?m afraid you have quite a bit of work in front of you. You?re alone on this.

Enjoy the tables.

Sincerely

Z