true count theorem

[sagefr0g]

here is a link for the true count theorem:
http://www.bjmath.com/bjmath/counting/tcproof.htm (Archive copy)

here is a snippet that i'm curious about:
"Corollary:
The expected true count after any number of cards are revealed and removed from any deck composition is the same as before the cards were removed, for any balanced count, provided you do not run out of cards."

i actually think he means the expected value of the true count. but anyway if this were the case it is confusing to me as it would seem that the expected value of the true count would never change .
what am i missing here?

 

[zengrifter]

here is a link for the true count theorem:
http://www.bjmath.com/bjmath/counting/tcproof.htm (Archive copy)

here is a snippet that i'm curious about:
"Corollary:
The expected true count after any number of cards are revealed and removed from any deck composition is the same as before the cards were removed, for any balanced count, provided you do not run out of cards."

i actually think he means the expected value of the true count. but anyway if this were the case it is confusing to me as it would seem that the expected value of the true count would never change .
what am i missing here?

The EV would change, at least due to the 'FLOATING ADVANTAGE" effect - eg, a TC of +8 w/6D remaining would be lower that a TC of +8 w/1D remaining.

Whereas the TC itself does NOT change, statistically. zg

 

[sagefr0g]

The EV would change, at least due to the 'FLOATING ADVANTAGE" effect - eg, a TC of +8 w/6D remaining would be lower that a TC of +8 w/1D remaining.

Whereas the TC itself does NOT change, statistically. zg

so with respect to the corollary mentioned is the point that the expected value is relatively unchanged for a given TC regardless of how far you are into a pack?

 

[jack.jackson]

The EV would change, at least due to the 'FLOATING ADVANTAGE" effect - eg, a TC of +8 w/6D remaining would be lower that a TC of +8 w/1D remaining.

Whereas the TC itself does NOT change, statistically. zg

This is currently what im into right now, and is definitely a project in the making. See alternative betting part 2. This is why we double A2 vs 4, 8 vs 6, 9 vs 2, A8 vs 6, A3 vs 4, etc, In single deck BS but no others.
All Hard doubling, Soft doubling A2-A5, has twice the effect as opposed to all splits, Soft doubling A6-A9 and betting.I even go as far to use it in standing Vs drawing.
For example, All my playing indexes are designed for a four deck game. so i assume. L2.

 0 A2 vs 4 4d =+5                      0    A8 vs 6 4D +2
           -1  A2 vs  4 3d =+4                    -1     A8 vs 6 2D +1
           -2  A2 vs  4 2d =+3                    -3     A8 vs 6 1D 0
          -3   A2 vs 4 1,1/2=+2
          -4   A2 vs 4 1d= +1
            
             9vs2 +4                                  XX vs 6 +8
            9vs 2 +3                                  XX vs 6 +7
            9vs2 +2                                   XX vs 6 +6
            9vs2 +1
            9vs2 0 

             11 vs 10 -6                            13 vs 3 -4
            11 vs 10 -7                             13 vs 3 -5
            11 vs 10 -8                             13 vs 3 -6
            11 vs 10 -9
            11 vs 10 -10              [reversal] 15 vs X +6                            
                                                        15 vs X +7                       
                                                       15 vs X +8     

                                                     Betting
                                                       4D: +4 +6
                                                      =2D  +3 +4
                                                     = 1D  +2 +3

Note: These are my own views and should not be taken as any credible advice. And leaves much to be desired!
I play in a 6D, -.54 game and im having serious trouble determining when to raise my bets accordingly. Rules in effect vs your advantage can be a little hair scratching at times. Sooner or later ill be looking up to zen or soony for a more thorough explantion about rules in effect vs adv. vs bet speads.

 

[zengrifter]

so with respect to the corollary mentioned is the point that the expected value is relatively unchanged for a given TC regardless of how far you are into a pack?

No. The fewer the decks the lower the housEdge. So the EV gets higher for a given TC, the deeper you are. zg

 

[zengrifter]

This is currently what im into right now, and is definitely a project in the making. See alternative betting part 2. This is why we double A2 vs 4, 8 vs 6, 9 vs 2, A8 vs 6, A3 vs 4, etc, In single deck BS but no others.
All Hard doubling, Soft doubling A2-A5, has twice the effect as opposed to all splits, Soft doubling A6-A9 and betting.I even go as far to use it in standing Vs drawing.
For example, All my playing indexes are designed for a four deck game. so i assume. L2.

 0 A2 vs 4 4d =+5                      0    A8 vs 6 4D +2
           -1  A2 vs  4 3d =+4                    -1     A8 vs 6 2D +1
           -2  A2 vs  4 2d =+3                    -3     A8 vs 6 1D 0
          -3   A2 vs 4 1,1/2=+2
          -4   A2 vs 4 1d= +1
            
             9vs2 +4                                  XX vs 6 +8
            9vs 2 +3                                  XX vs 6 +7
            9vs2 +2                                   XX vs 6 +6
            9vs2 +1
            9vs2 0 

             11 vs 10 -6                            13 vs 3 -4
            11 vs 10 -7                             13 vs 3 -5
            11 vs 10 -8                             13 vs 3 -6
            11 vs 10 -9
            11 vs 10 -10              [reversal] 15 vs X +6                            
                                                        15 vs X +7                       
                                                       15 vs X +8     

                                                     Betting
                                                       4D: +4 +6
                                                      =2D  +3 +4
                                                     = 1D  +2 +3

Note: These are my own views and should not be taken as any credible advice. And leaves much to be desired!
I play in a 6D, -.54 game and im having serious trouble determining when to raise my bets accordingly. Rules in effect vs your advantage can be a little hair scratching at times. Sooner or later ill be looking up to zen or soony for a more thorough explantion about rules in effect vs adv. vs bet speads.

These different indices for different #decks are unnecessary. Just use the 3D numbers. Betting is the important thing! zg

 

[sagefr0g]

.....

Whereas the TC itself does NOT change, statistically. zg

well what is the expected TC? tc=0 ?