Deviation pattern

[G Man]

-3.2 floored = -4
-3.2 truncated = -3
-3.2 rounded = -3

[Cacarulo]

Are you saying surrender at TC <= -2.1 using flooring? While using flooring, -3.1 floors to -4, correct? I’ve always truncated, so I just want to clear up any possible confusion.

No, there might have been a misunderstanding. I said that my index is -3 (floored), NOT that I was converting Grama's index (-3.2), which is supposedly exact, to floored.
The index means that if the TC (floored) is greater than or equal to "-3," you should surrender if it's allowed.

Sincerely,
Cac

[Cacarulo]

-3.2 floored = -4
-3.2 truncated = -3
-3.2 rounded = 3

Correct except for the last one :-)

Sincerely,
Cac

[G Man]

Oops, my bad. Of course corrected to -3 :-)

[ccalice21]

I appreciate all the help and replies here. I am new to this, so hearing different versions of explanations help.

Thanks again!

[Gramazeka]

Hi,

I understand that it can be a bit confusing at times, but the responses you've received so far are quite clear. If LS is allowed, whenever you receive two cards totaling 15 (T5, 96, 87) and the TC is zero or higher, you should surrender. If the TC is below zero, you should hit. Now, if that total of 15 is made up of three or more cards, the LS rule no longer applies. In that case, if the TC is four or higher, you should stand, and if it's lower, you should hit.
The following is a brief analysis of the 15vT play:

+------------+-----------------------+-----------------------+-----------------------+-----------------------+---+---+
|     TC     |      Probability      |        Standing       |        Hitting        |        Doubling       | 1 | 2 |
+------------+-----------------------+-----------------------+-----------------------+-----------------------+---+---+
|          9 |   0.00088825133252209 |  -0.58804018317597517 |  -0.62280038962443784 |  -1.24560077924887569 | R | S |
|          8 |   0.00236624192560167 |  -0.58128949035654465 |  -0.60993585560231167 |  -1.21987171120462334 | R | S |
|          7 |   0.00317514727983864 |  -0.57622824266298289 |  -0.59945910813941006 |  -1.19891821627882011 | R | S |
|          6 |   0.00759480332920357 |  -0.57015617331959745 |  -0.58660018893371801 |  -1.17320037786743603 | R | S |
|          5 |   0.01049102700115986 |  -0.56511881107183271 |  -0.57503284776851682 |  -1.15006569553703364 | R | S |
|          4 |   0.02325721884929089 |  -0.55970698187682022 |  -0.56211619218242481 |  -1.12423238436484962 | R | S |
|          3 |   0.03316642496243929 |  -0.55493194065129903 |  -0.54973628426056409 |  -1.09947256852112818 | R | H |
|          2 |   0.07040222451636996 |  -0.55015967376011454 |  -0.53670771468833889 |  -1.07341542937667778 | R | H |
|          1 |   0.10647800067263161 |  -0.54584003932214309 |  -0.52385901445369187 |  -1.04771802890738375 | R | H |
|          0 |   0.22582706138281960 |  -0.54169105272892970 |  -0.51070816765527272 |  -1.02141633531054543 | R | H |
|         -1 |   0.22381886187379482 |  -0.53822207257827648 |  -0.49884446928285248 |  -0.99785334664386161 |   | H |
|         -2 |   0.13790334944363461 |  -0.53456606899927583 |  -0.48534051074716389 |  -0.97185814865301523 |   | H |
|         -3 |   0.06363765393036130 |  -0.53114582711215319 |  -0.47126121025815881 |  -0.94486732169462373 |   | H |
|         -4 |   0.04274415274769527 |  -0.52815813287839608 |  -0.45790800261007869 |  -0.91923750243211522 |   | H |
|         -5 |   0.01931494723193923 |  -0.52541462459295218 |  -0.44373674197750607 |  -0.89205095158975911 |   | H |
+------------+-----------------------+-----------------------+-----------------------+-----------------------+---+---+

Of course, if LS is not allowed, the only index that matters is +4.

Hope this helps.

Sincerely,
Cac

I asked Zenfighter to double-check the calculations. I have the impression that having the pen function enabled explains the difference between (4.2) and (4.0).

p.s.

I don't have pen enabled.

[Cacarulo]

I asked Zenfighter to double-check the calculations. I have the impression that having the pen function enabled explains the difference between (4.2) and (4.0).

p.s.

I don't have pen enabled.

Yes, penetration can affect the exact index. For 15vT, my index is +4.1 for 78 or more remaining cards. For 52 remaining cards (5/6 pen) or fewer, the index is +4.0.

Sincerely,
Cac