Answer: Yes.
If certain random walks will produce a slight superior number of streaky shoes than average, the single probability is somewhat slight diminished, mostly as one side could be "singled" oriented for quite long time (due to the asymmetrical issues) but the other one tends to form more streaks than average (so kind of denying a back-to-back single distribution at both sides).
Since itlr almost everything will equalize, in order to restrict at most the negative variance an important tool to take care of will be to utilize the "clustering" effect.
Meaning that slight less likely (long) chopping sequences someway must balance those more probable shoes where singles come out isolated or by couples.
So when a long chopping sequence had shown up, we should be way less interested to make a bet at the future trigger (single), on the contrary isolated and coupled singles should entice us to make more bets.
Here a real shoes sample where isolated and double single patterns = W (+1) VS superior single patterns = L (-3):
- LLWLW
- WWWLWW
- WWWWWWWL
- WWWWWLW
- WLLLLW
- WWWWWL
- WLLWWWL
- WLWWWWWW
- LWWLW
- WLWLW
- LLWW
- WLLWWWWW
- LWWWWWW
- WLWLLW
- WWWWWWW
- WWLWWWWW
- WWWWWWWL
- LLWWWW
- WWWW
- WWWWLWWW
- WWWWWLW
- WWLWWW
- LLWLW(-1)
- WWLLWWW
- WLWW
- WWLWLW
- WWWWWLW
- WLWWWL
- WLWWWWWW
- WLWWLWW
- WWLWWWWL
- WWWWWWWW
- LWWWWWWL
- LWWWLWWWL
- WWWWLWWWW
- WWWWWW
- LWWWWWWWW
- WLLW
- WWWWWW
- LWWWLWW
- WWWWWWWW
- LLLWWL
- WLWLWWWW
- WWLLWW
- WWWLWW
- WWWWLWW
- WWWWWL
- WLWWWLWWWW
- WWWWLWW
- LWWWWWWLWW
- WL
- W(-1)
- WLWLWL
- LWWWLW
- WWLLWWL
- WLLWW
- WWWWLW
- LLWWWWL
- WWWWWWWL
- WWWWLW
- WWWWWW
- LLW
- WLWWLWL
- WWWLW
- WLWWWWW
- LWWWWLWWW
- LLWWW
- WWWLWW
- WWWWWWLWWWW
- WWWL
- WWWLWW
- WWWWWW
- LWWWWWL
- WWLWWLWW
- WWWWWL
- WWLWWWW
- LLWWWWWL(-1)
- WWLLWL
- WWWLWLWWW
- LLWWWW
- WWWLW
- LWWWLL
- WWWWWLWWWWW
- WWWWLW
- WLWLWWW
- WWWWWWL
- WWWWWWL
- WWLWWL
- WWWWW
- WWWL
- WLLWWWW
- WWWWWWL
- LLLLL
- WWWWWLWWW
- LWWW
- WWWLLW
- WWWLWW
- WWWWL
- WWWWWW
- WWLWLL
- WWWWLWLW
- WWWWWW
- WWWWWWWW(-1)
- WWWWWLWW
- WWWWWWW
- WWWLWL
- WWWW
- WWLWLW
- WLWW
- WLWWWLWW
- WWWWLLLLW
- LLLWWLW
- WWWLWLL
- WLWWW
- WLWWLWWLW
- LLLLLWWW
- LWWWWWL
- WWWWWWL
- WWWWW
- WWWWWWW
- LWWWWW
- WWWWWW
- WLWWLWWW
- LWWLWL
- WWLWWW
- WWWWLW
- WWWW
- LWLWW
- LLLW
- WWWWL(-1)
- WWWWW
- WWWWWWLLW
- WWLLWWLWW
- LWWWWLWW
- LWWWWWLW
- LWWWWL
- LWWWWWWL
- WWWL (18632)
as.
If certain random walks will produce a slight superior number of streaky shoes than average, the single probability is somewhat slight diminished, mostly as one side could be "singled" oriented for quite long time (due to the asymmetrical issues) but the other one tends to form more streaks than average (so kind of denying a back-to-back single distribution at both sides).
Since itlr almost everything will equalize, in order to restrict at most the negative variance an important tool to take care of will be to utilize the "clustering" effect.
Meaning that slight less likely (long) chopping sequences someway must balance those more probable shoes where singles come out isolated or by couples.
So when a long chopping sequence had shown up, we should be way less interested to make a bet at the future trigger (single), on the contrary isolated and coupled singles should entice us to make more bets.
Here a real shoes sample where isolated and double single patterns = W (+1) VS superior single patterns = L (-3):
- LLWLW
- WWWLWW
- WWWWWWWL
- WWWWWLW
- WLLLLW
- WWWWWL
- WLLWWWL
- WLWWWWWW
- LWWLW
- WLWLW
- LLWW
- WLLWWWWW
- LWWWWWW
- WLWLLW
- WWWWWWW
- WWLWWWWW
- WWWWWWWL
- LLWWWW
- WWWW
- WWWWLWWW
- WWWWWLW
- WWLWWW
- LLWLW(-1)
- WWLLWWW
- WLWW
- WWLWLW
- WWWWWLW
- WLWWWL
- WLWWWWWW
- WLWWLWW
- WWLWWWWL
- WWWWWWWW
- LWWWWWWL
- LWWWLWWWL
- WWWWLWWWW
- WWWWWW
- LWWWWWWWW
- WLLW
- WWWWWW
- LWWWLWW
- WWWWWWWW
- LLLWWL
- WLWLWWWW
- WWLLWW
- WWWLWW
- WWWWLWW
- WWWWWL
- WLWWWLWWWW
- WWWWLWW
- LWWWWWWLWW
- WL
- W(-1)
- WLWLWL
- LWWWLW
- WWLLWWL
- WLLWW
- WWWWLW
- LLWWWWL
- WWWWWWWL
- WWWWLW
- WWWWWW
- LLW
- WLWWLWL
- WWWLW
- WLWWWWW
- LWWWWLWWW
- LLWWW
- WWWLWW
- WWWWWWLWWWW
- WWWL
- WWWLWW
- WWWWWW
- LWWWWWL
- WWLWWLWW
- WWWWWL
- WWLWWWW
- LLWWWWWL(-1)
- WWLLWL
- WWWLWLWWW
- LLWWWW
- WWWLW
- LWWWLL
- WWWWWLWWWWW
- WWWWLW
- WLWLWWW
- WWWWWWL
- WWWWWWL
- WWLWWL
- WWWWW
- WWWL
- WLLWWWW
- WWWWWWL
- LLLLL
- WWWWWLWWW
- LWWW
- WWWLLW
- WWWLWW
- WWWWL
- WWWWWW
- WWLWLL
- WWWWLWLW
- WWWWWW
- WWWWWWWW(-1)
- WWWWWLWW
- WWWWWWW
- WWWLWL
- WWWW
- WWLWLW
- WLWW
- WLWWWLWW
- WWWWLLLLW
- LLLWWLW
- WWWLWLL
- WLWWW
- WLWWLWWLW
- LLLLLWWW
- LWWWWWL
- WWWWWWL
- WWWWW
- WWWWWWW
- LWWWWW
- WWWWWW
- WLWWLWWW
- LWWLWL
- WWLWWW
- WWWWLW
- WWWW
- LWLWW
- LLLW
- WWWWL(-1)
- WWWWW
- WWWWWWLLW
- WWLLWWLWW
- LWWWWLWW
- LWWWWWLW
- LWWWWL
- LWWWWWWL
- WWWL (18632)
as.