IN blackjack attack, there is a section called the optimum number of rounds/hands, so in a positive situations you want as many rounds as possible. Also only the first hand represents the closest to the true count as possible, like the futher away from the first hand, the further your estimation of your advantage is.
Ming
This is a very fine book. I do not remember him making this statement in the book, but if so;this is one of the FEW errors in this book. He's saying that if you play three hands with a high count, the chance of the first hand being a good hand is higher than the chance of the other two? I don't think so...
Let us suppose that the count is high enough that you deem yourself to have a 10% advantage. This means that you have a 10% advantage on ALL three hands equally, no matter HOW many hands you play. To believe anything else is analogous to the player who believes the (pervasive) myth that bad players can somehow cause him to lose. If ANYTHING, when you play 3 hands,you have a GREATER advantage on the 3rd hand, because you've just seen at least 5 extra cards which you can factor into your playing strategy when you pick up the 3rd hand. (Unless the game is dealt face-up, of course; but even THEN, you'd get to see any HIT cards that came out)
Your statement about the optimal bet sizes when playing two or three hands sounds about right, so -
Let's go back to that 10% advantage:
If you play one hand and bet $100, you've earned $10.
If you play two hands & bet $75, you've earned $15.
If you play three hands & bet $66, you've earned $19.80.
Finally, addressing the issue of card consumption;
Supposing you have a high count; with this 10% edge; your maximum bet is $100; and you estimate that there are about 25 cards left, before the cut card comes out. If you play one hand and intend to spread to 3 hands of $66 on the last round, that means that there will be approximately 4 rounds left.Let's assume that the count will remain the same until the end (It actually rates to DROP somewhat). You rate to play 6 hands in all. Your earn will be $30 for the first three rounds, and $19.80 for the last round. Total earn: $49.80.
If you immediately spread to 3 hands, you'll get two rounds for sure, and three rounds approximately 60% of the time. You earn $39.60 forty per cent of the time and $59.40 sixty per cent of the time, for an average earn of $51.48. Now this might be only a small gain, but the extra factor that would easily swing this for ME is the fact that when the count is high; although it MIGHT go up as the deck progresses, and it MIGHT go down; it actually RATES to go DOWN. I say "Make hay while the sun shines".
In short; the reason it's better to play as many rounds as possible: You DO have to worry about card consumption - you need the DEALER to consume as few cards as possible.