References

1) TOB (4th Edition) Chapter 3. How much can be gained by Perfect Play? (page28).
2) EoR?s table, Vegas rules, page 44, Chapter 4.
3) SD with a max. cut at the 61.54% (20 cards remaining)
4) Hi-lo count.




Amount gained by betting one extra unit when the deck is favorable for BS 
 

 

   Unseen cards	                      Total Gain (%)	      Hi-lo Gain (%) 

 

	20				1.66785			1.61416 

	21				1.60124			1.54967 

	22				1.53821			1.48865 

	23				1.47835			1.43069 

	24				1.4213			1.37545 

	25				1.36674			1.32263 

        26				1.3144			1.27195 

        27				1.26403			1.22319 

	28				1.21543			1.17613 

	29				1.16839			1.13059 

	30				1.12274			1.08639 

	31				1.07832			1.04339 

	32				1.03498			1.00143 

	33				0.992578		0.960373 

	34				0.95098			0.920099 

	35				0.910056		0.880477 

	36				0.869679		0.841385 

	37				0.829721		0.802698 

	38				0.790049		0.764289 

        39				0.750526		0.726024 

	40				0.711003		0.687758 

	41				0.671314		0.649332 

	42				0.631269		0.610563 

	43				0.590647		0.571234 

	44				0.549173		0.53108 

	45				0.506499		0.489765		 

	46				0.462158		0.446836


Unimportant facts

a) The decimals.
b) The slightly discrepancies with Griffin?s figures.

Important facts

a) Amount gained = f {depth of the deck} in agreement with the Fundamental Theorem of BJ.

b) The betting efficiency of any given point count, increases with the actual depth of the deck.

We can see easily, that with a 1/4 dealt out:

HL effic. = .726024/.750526 = .967354

While at the ? level:

HL effic. = 1.27195/1.3144 = .967704

Admittedly, nothing to fear or worry about it, this meagre loss of efficiency of our point count at the early stages of the pack.

Chin up. The point count works! (?system?, according to SW).

Enjoy!

Sincerely

Z