dacium said:
For every +1 TC its 0.5% to you.
That is a good rule of thumb but it may not be accurate enough to base your betting strategy on. The advantage in BJ does not move linearly so the advantages at different TCs will not be in such smooth increments. See my post below for more of an explanation:
http://www.blackjackinfo.com/bb/showthread.php?t=2845
For the best results you should use your exact advantage from a simulator to fine-tune your bets.
dacium said:
The optimal bet is via the kelly criterion = ((bp) - q) / b, where b is odds paid, p is win probability and q is loose probability. Since b is 1:1 in blackjack the equation is just p-q. So whatever your % egde is, is what you should bet.
That formula is not quite applicable to blackjack. First of all, the odds paid (d) is not 1:1. Extra payouts for blackjacks, splits and doubles (and combinations of the two) will skew that. Secondly, the win/loss probability (p,q) is not 50/50. In blackjack it is closer to 43/49 with the other 8% being pushes. Also, that formula does not take variance into consideration. It assumes a constant positive expectation and frequent bankroll recalculations which is not practical in our game.
A simpler “tweaked” version for blackjack is:
Bet = (Bankroll * Advantage) / Variance
So with a 1% advantage and a $3,000 bankroll you would bet around:
(3,000 * 0.01) / 1.33 = $22
This still doesn’t completely work due to betting constraints that we impose on ourselves (the min/max of our bet spread), but more info can be found here:
http://www.bjmath.com/bjmath/kelly/kelly1.htm (Archive copy)
You can also read my rant below for some more “BJK“ fun:
http://www.blackjackinfo.com/bb/showthread.php?t=2632
BBjoe said:
Just curious what size bets people place here. Like what do you start betting with on a fresh shoe and what would you bet on a 10+ TC?
Other than my mathematical nit-picking

, I agree with Dacium’s plan. When the house has the edge I bet as little as possible (or leave). As the count rises I bet as much as I can get away with within the limits of my bet spread. In general, the following bet spreads are considered “standard” for different games:
Single-deck = 1:4 spread
Double-deck = 1:6 or 1:8 spread
Six-deck = 1:12 spread (less is acceptable if you are Wonging in/out)
Eight-deck = Stay Away! Just kidding…sort of. This will require aggressive Wonging
The bets that you make between your min/max bet should be based on the Kelly formula.
-Sonny-