Automatic Monkey said:
Not with the shuffles we have here. Most US shuffles use a stepladder or similar move, and when a dealer riffles a pack and then breaks it apart, all the high cards could be in his left hand, or all the high cards could be in his right hand. It's random, but fortunately which cards are in which hand follows a normal distribution. You just have to consider this variance in your betting like you would any other kind of variance.
What shuffles the US casinos are using is fairly well known all over and what i said before is still accurate.
If you track a packet perfectly then you will know exactly where your slug ends up. You will know that x amount of cards is here, that y got picked up in this grab and that z were split off and is over there. If you track a packet perfectly you should know where everything is. It makes no difference whether you know exactly which cards out of the slug have ended up in which place, you need to know what proportion of the cards from your slug ended up in which locations in the final stack.
You should know if your packet has been split by a break or grab, if so what proportion of your packet ended up where. You should know that your packet when tracking a stepladder shuffle (assuming a perfect grab) is only going to be 3/4 of the original cards due to the upwards movement that a stepladder causes and you should have accounted for that. Whether the high cards are the ones that get moved out of your packet or not on any specific occurance is inconsequential. You are tracking a packet of cards, not individual cards. You choose your packet based on the high to low card proportions knowing that in the long run this proportion will influence the make up of the packet at the end of the shuffle. Never the less, you are still tracking an entire packet not the specific high cards within.
The varience you talk about does have an effect in that sometimes it will be all the high cards that are removed from your packet by the stepladder, but just as often all the low cards will be removed from your packet. The varience will balance itself out. Nobody every mentioned playing without a reasonable assessment of varience. In both these situations however, you should still know where
all of your slug is. The low and neutral cards are still part of the slug. They may not be the part that you're interested in, but they are part of the packet of cards that you've been tracking just as much as the high cards.
RJT.