The short-term swings could be bigger in terms of percentages, but the long-term swings might be larger in terms of actual dollars. The results will start to regress in the long-term even though the absolute difference could be getting larger.
http://www.blackjackinfo.com/bb/showpost.php?p=67906&postcount=2
http://www.blackjackinfo.com/bb/showpost.php?p=111344&postcount=15
The short-term swings will not necessarily be any wilder than the long-term swings depending on how you look at it. That being said, I like Blackjack Avenger's response as well.
-Sonny-
Thanks Sonny.
I wish I could get out of my "1 SD is 1 SD" mode no matter how long one plays.
Try as I might, I just can't get into the absolute$ aspect of it.
Get 8 heads in the first 10 flips. Less than a 1 SD loss. ( I think lol).
Maintain that 100000 flips later - still within 1 SD of expectations.
What's the difference?
There's no "wild" swings - results are within EV +-1 SD of the time, the same percentage of times, no matter how many flips you make.
Never got calling that "%relationship to $bankroll" as some kind of "wild" swing.
Sure, maybe more absolute dollar risk with more trials, but so what?
To me, that's just about risk to roll, not some kind of wild "swing" thing.
If you have a small roll, 1 SD could be more than 100% of roll. With a large roll, 1 SD could be next to nothing compared to total roll.
Am I nuts? :grin: