Sucker said:
I don't have a copy of that book (BJBBII), but I really would like to hear the authors' reason(s) as to why 1/2 of something good is better than 2/3 of the same thing. Perhaps there really IS a logical explanation; but on the surface it just appears to defy common sense.
You're heads up in a shoe game and the count has just reached max bet territory
($1000 for you). You've been doing the right thing -- that is, betting according to your designed ROR. There are 81 cards left before the cut card emerges.
Playing One Hand: At $1000 and 5
.4 cards per completed round, you'll get in 15 hands at $1000 apiece -- or $15,000 worth of action.
Playing Two Hands: At $730 x 2 hands and 8
.1 cards per completed round, you will get in 10 rounds of $1460 each -- or $14,600 worth of action.
Note that this slight inferiority might be exacerbated just a tad further by the fact that the dealer is a little more likely to use all of her 2
.7 cards per hand, since you'd have to bust both of yours before she would not play her own hand out. Playing only one hand, the dealer's completed hand will use up the minimum of 2
.0 cards a smidge more often.
Game Speed: Playing 15 one-handed rounds vs. 10 two-handed rounds is an argument. But it's reasonable to assume that 3 hands -- that is, the dealer's plus the player's two hands will take 50% longer than the dealer's plus the player's single hand. If this is so, then the time element is a wash.
But even if it's not, remember that while game speed is, I believe the most critical component of profitability, these big bet moments are only small snipets of your overall playing/backcounting/small betting elapsed time.
Finally, note that as soon as a second player enters the game, the question is not a close one anymore, and two hands should be played in positive counts.
Counter Point: All the aforementioned stuff has been a purely arithmetical argument. Spookily enough, my own sims show a modestly higher EV and dollar win per 100 rounds by playing two hands heads up thru positive counts. However, I think the "per 100 rounds" may be the fly in the software ointment, since in the example above, it will tack on five extra rounds of additional random play before tabulating each "100 rounds" result when the player plays two hands.
I'm open to further analysis there.