Now with this simple classification we can consider EVERY POSSIBLE PATTERN HAPPENING per any shoe dealt, going from an all 5/5+ streak shoe (#1 scenario) to an all single hands shoe (#2 scenario).
Considering the worst (or best) case scenarios is the way to instruct our algos to do their job even at the most possible deviated situations.
Of course in our humanly miserable terms, we won't expect to cross such deviations as the almost totality of shoes dealt will present way lower levels of deviations and under our way of thought the only objective obstacle to be overcome is the 5/5+ streaks "density" happening per shoe: better sayed, the room those unlikely streaks will concede to more likely inferior patterns.
Such 5/5+ streaks density varies in direct relationship of the actual outcomes' source and we already know that whenever a shuffling machine is utilized, a significant LOWER amount of those streaks will show up (at least by using our random walks).
Anyway and no matter the source, it's unlikely to get many 5/5+ streaks per shoe (otherwise and knowing the bac players propensity to bet towards streaks than towards any other pattern, HS rooms would not exist), say they move within a range going from 0 (no such streaks) to very low numbers.
In addition, we have shifted to our favor the clustering 5/5+ streaks effect as they do not give room to inferior (possible bettable) patterns being clustered at least one time as what didn't happen cannot come out clustered (and neither as isolated).
Actually the permutation factor makes a decisive role about our long term results as it tends to confuse the "density" issue with the distribution issue.
Following data show how many 5/5+ streaks happen per shoe by adopting our main random walk
(some final patterns are undefinied in their lenght). This small sample tends to reproduce what could happen after thousands and thousands of shoes dealt.
Since our random walks start and stop their action after some hands are registered or discarded at the starting/final portions of each shoe, such numbers reflect lesser numbers than by registering every outcome at a 8-deck shoe:
1
0
1
0
1
1
1
1
2
0
3
4
1
0
1
1
3
0
3
1
1
3
2
1
2
0
1
1
0
2
3
1
0
1
4
1
1
2
0
2
2
1
0
0
1
1
1
1
3
1
1
1
1
2
2
1
2
2
2
1
1
1
3
2
2
3
3
1
3
0
1
3
1
3
2
1
1
1
4
1
2
2
1
3
3
2
4
1
2
1
3
0
1
0
1
0
2
3
2
0
1
1
2
3
1
2
2
2
1
2
1
1
1
0
1
2
2
1
1
2
1
2
2
1
1
2
1
0
3
1
2
0
2
1
3
1
1
1
3
1
0
3
0
2
0
2
2
0
1
0
0
2
2
3
0
0
2
2
1
4
3
3
3
0
2
1
1
2
2
1
2
1
1
2
2
2
2
1
2
1
1
1
2
1
3
0
1
2
2
1
0
3
1
2
2
2
1
2
3
3
4
3
3
2
1
2
2
0
1
3
1
2
1
2
1
1
2
0
1
1
2
1
0
1
Totals
0 = 33
1 = 79
2 = 61
3/4 = 38
So out of 211 shoes dealt, the most probable situation belonging to the 5/5+ streaks is to expect just one such streak (37.44%), next comes the situation to face two 5/5+ streaks (28.9%).
Then there are the most deviated situations (0 and 3/4 streaks) globally accounting for 33.64%.
If we'd get rid of the 0 streaks scenario (15.33%), one and two streaks vs 3/4 streaks account for a 140/38 probability, that is a 3,68:1 ratio instead of an expected 3:1 ratio.
Numbers we should be interested about.
as.
Considering the worst (or best) case scenarios is the way to instruct our algos to do their job even at the most possible deviated situations.
Of course in our humanly miserable terms, we won't expect to cross such deviations as the almost totality of shoes dealt will present way lower levels of deviations and under our way of thought the only objective obstacle to be overcome is the 5/5+ streaks "density" happening per shoe: better sayed, the room those unlikely streaks will concede to more likely inferior patterns.
Such 5/5+ streaks density varies in direct relationship of the actual outcomes' source and we already know that whenever a shuffling machine is utilized, a significant LOWER amount of those streaks will show up (at least by using our random walks).
Anyway and no matter the source, it's unlikely to get many 5/5+ streaks per shoe (otherwise and knowing the bac players propensity to bet towards streaks than towards any other pattern, HS rooms would not exist), say they move within a range going from 0 (no such streaks) to very low numbers.
In addition, we have shifted to our favor the clustering 5/5+ streaks effect as they do not give room to inferior (possible bettable) patterns being clustered at least one time as what didn't happen cannot come out clustered (and neither as isolated).
Actually the permutation factor makes a decisive role about our long term results as it tends to confuse the "density" issue with the distribution issue.
Following data show how many 5/5+ streaks happen per shoe by adopting our main random walk
(some final patterns are undefinied in their lenght). This small sample tends to reproduce what could happen after thousands and thousands of shoes dealt.
Since our random walks start and stop their action after some hands are registered or discarded at the starting/final portions of each shoe, such numbers reflect lesser numbers than by registering every outcome at a 8-deck shoe:
1
0
1
0
1
1
1
1
2
0
3
4
1
0
1
1
3
0
3
1
1
3
2
1
2
0
1
1
0
2
3
1
0
1
4
1
1
2
0
2
2
1
0
0
1
1
1
1
3
1
1
1
1
2
2
1
2
2
2
1
1
1
3
2
2
3
3
1
3
0
1
3
1
3
2
1
1
1
4
1
2
2
1
3
3
2
4
1
2
1
3
0
1
0
1
0
2
3
2
0
1
1
2
3
1
2
2
2
1
2
1
1
1
0
1
2
2
1
1
2
1
2
2
1
1
2
1
0
3
1
2
0
2
1
3
1
1
1
3
1
0
3
0
2
0
2
2
0
1
0
0
2
2
3
0
0
2
2
1
4
3
3
3
0
2
1
1
2
2
1
2
1
1
2
2
2
2
1
2
1
1
1
2
1
3
0
1
2
2
1
0
3
1
2
2
2
1
2
3
3
4
3
3
2
1
2
2
0
1
3
1
2
1
2
1
1
2
0
1
1
2
1
0
1
Totals
0 = 33
1 = 79
2 = 61
3/4 = 38
So out of 211 shoes dealt, the most probable situation belonging to the 5/5+ streaks is to expect just one such streak (37.44%), next comes the situation to face two 5/5+ streaks (28.9%).
Then there are the most deviated situations (0 and 3/4 streaks) globally accounting for 33.64%.
If we'd get rid of the 0 streaks scenario (15.33%), one and two streaks vs 3/4 streaks account for a 140/38 probability, that is a 3,68:1 ratio instead of an expected 3:1 ratio.
Numbers we should be interested about.
as.