Zenfighter: EoR's HITTING 17 - 12 Table 1

[Cacarulo]

ZenFighter,

Here you have two sets of Insurance EoRs for any number of decks. The first set is the "traditional" that uses the full pack. The second set adjusts for the ace removed.
The indices generated by using any of these sets are the same since insurance is a linear play.
For other plays such as 16vT -which is not linear- a set adjusted for the removal of a ten would
be more accurate than the traditional.

1) Full Pack

     +--------------------+--------------------+--------------------+--------------------+ 

     |         1D         |         2D         |         3D         |         4D         | 

+----+--------------------+--------------------+--------------------+--------------------+ 

|  A |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  2 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  3 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  4 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  5 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  6 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  7 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  8 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  9 |   1.80995475113122 |   0.89619118745332 |   0.59553349875931 |   0.44593088071349 | 

|  T |  -4.07239819004525 |  -2.01643017176998 |  -1.33995037220844 |  -1.00334448160535 | 

|  m |  -7.69230769230769 |  -7.69230769230769 |  -7.69230769230769 |  -7.69230769230769 | 

| ss |  95.82113388341763 |  23.49239035071819 |  10.37380933322661 |   5.81648974843682 | 

| ck |   0.00000000000000 |   0.00000000000000 |   0.00000000000001 |   0.00000000000001 | 

+----+--------------------+--------------------+--------------------+--------------------+ 

     |         5D         |         6D         |         7D         |         8D         | 

+----+--------------------+--------------------+--------------------+--------------------+ 

|  A |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  2 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  3 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  4 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  5 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  6 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  7 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  8 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  9 |   0.35640035640036 |   0.29680930002473 |   0.25429116338207 |   0.22242817423540 | 

|  T |  -0.80190080190080 |  -0.66782092505565 |  -0.57215511760966 |  -0.50046339202966 | 

|  m |  -7.69230769230769 |  -7.69230769230769 |  -7.69230769230769 |  -7.69230769230769 | 

| ss |   3.71537051073731 |   2.57680099699930 |   1.89142187639558 |   1.44712306129057 | 

| ck |   0.00000000000000 |   0.00000000000001 |   0.00000000000001 |   0.00000000000001 | 

+----+--------------------+--------------------+--------------------+--------------------+

2) Full Pack - Ace

     +--------------------+--------------------+--------------------+--------------------+ 

     |         1D         |         2D         |         3D         |         4D         | 

+----+--------------------+--------------------+--------------------+--------------------+ 

|  A |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  2 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  3 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  4 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  5 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  6 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  7 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  8 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  9 |   1.88235294117647 |   0.91376356367790 |   0.60326770004189 |   0.45026030673983 | 

|  T |  -4.11764705882353 |  -2.02741290691034 |  -1.34478424801005 |  -1.00605037287182 | 

|  m |  -5.88235294117647 |  -6.79611650485437 |  -7.09677419354839 |  -7.24637681159420 | 

| ss | 100.76124567474051 |  24.08348855724444 |  10.54644370454471 |   5.88879914330485 | 

| ck |  -0.00000000000000 |  -0.00000000000000 |   0.00000000000000 |   0.00000000000000 | 

+----+--------------------+--------------------+--------------------+--------------------+ 

     |         5D         |         6D         |         7D         |         8D         | 

+----+--------------------+--------------------+--------------------+--------------------+ 

|  A |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  2 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  3 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  4 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  5 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  6 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  7 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  8 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  9 |   0.35916314986082 |   0.29872419873457 |   0.25569608693667 |   0.22350270647809 | 

|  T |  -0.80362754781359 |  -0.66901773674930 |  -0.57303319483129 |  -0.50113497468133 | 

|  m |  -7.33590733590734 |  -7.39549839228296 |  -7.43801652892562 |  -7.46987951807229 | 

| ss |   3.75223421803959 |   2.59807323554546 |   1.90479049284131 |   1.45606530097737 | 

| ck |   0.00000000000000 |  -0.00000000000000 |   0.00000000000000 |   0.00000000000000 | 

+----+--------------------+--------------------+--------------------+--------------------+

In particular I use the first set (1D) for calculating algebraic insurance indices from 1D to 8D.
Please, let me know what indices do you get with these EoRs.

Sincerely,
Cac

[Zenfighter]

 

 

Decks	      EoR?s derived 

 

1		1.39093 

2		2.33007 

3		2.64313 

4		2.79965 

5		2.89357 

6		2.95618 

7		3.0009 

8		3.03444 

 

It?s worth remarking, that all indexes derived by algebraic approximations using Pete?s formula
are more precise, in the sense that they approach closer to the true figures. The only exception seems to be the single deck one.

So it seems to me, that Arnold?s formula is still a practical tool under these circumstances:

a) Aimed basically at one level balanced counts.
b) Will give you fair indexes if you limit yourself to single deck exclusively.

As a standard tool Moss formula is proven to be superior. The data is conclusive.

Sincerely

Z