This is what I’ve gleaned so far from studying the Random Thoughts topics – additions/corrections/feedback welcome for version 2. Does everything below make sense?
Here’s a random stream of straight up numbers between the range of 0 and 36 as generated from a Roulette wheel:
17, 20, 11, 35, 34, 12, 23, 15, 31, 30, 24, 21, 3, 1, 7, 11, 14, 25, 13
The above translates to the dozen positions below (1-12, 13-24, 25-36) on the Roulette carpet:
2, 2, 1, 3, 3, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 3, 2
Both sets of numbers are sequences of spins. The numbers we work with during a set or game, like the ones above – selected from a larger stream of random numbers – are known as our personal permanence.
The first spin has 3 possible outcomes in terms of dozens: 1, 2 or 3 (ignoring zero and the house edge).
The first 2 spins have 9 different combinations; the first 3 spins have 27 different combinations.
Any outcome of a sequence, based on a specific combination that we measure, is an event. We can also have a sequence of events.
The probability of winning a spin or sequence remains constant in terms of odds providing your bet selections are already predetermined before betting commences; however, upon modifying the bet selection after, say, the first or second spin then the probability/odds has to be recalculated for a reduced sequence. The probability for winning, say, spin 1 and spin 3 would need to be calculated based on a specific combination that could occur during that sequence.
Each event is not equally likely, but has differing probabilities/odds associated with them, creating an imbalance.
Playing larger sequences would involve ever more combinations, outcomes and complex calculations. We can limit the combinations by breaking down our games into cycles based on when a number or dozen (or other section depending on what’s being played) repeats. This is an application of Pigeon Hole Principle, which says a repeat must happen after such a time. It’s also considered to be Non-Random or Non-Probabilistic (or a limit of Random) because it must happen as fact.
22
2133
3122
233
322
211
11
11
1232
The number of spins for each type of combination that ends in a repeat is known as the cycle length. The first cycle has a cycle length of 2 unless we use the alternative convention for counting only the uniques per cycle, in which case it has a cycle length of 1 – a bit like US vs. UK footwear – the convention you choose is down to personal preference, but the next principle would make the case for the latter to be more universally accepted: the repeating dozen that ended the cycle – whose outcome is subsequently used as the first result of the proceeding cycle – is known as the defining dozen and perhaps should not count towards the cycle length. This defining dozen is the link between each cycle creating a biased game – together with ending on a repeat – results in constant ratios from one cycle to the next. This framework is finite (or natural): the defining element of the cycle – be it in dozens, lines, numbers or any position played in a cycle – has a near-fixed probability of being defined the same or different (depending on the position played) cycle to cycle. The cycle lengths between cycles also take on their own near-fixed percentages based on whether the cycle had the same defining element (or was different) to the previous one.
These constant ratios between cycles means they are less affected by variances and deviations – with a more predictable and stable pattern of sets in the long run, and being short and finite, such cycles escape being caught by the Law of the Large Numbers. However, that doesn’t necessarily mean that the ratios with the most bias are the most profitable of the events, if any. We need to find a way to ride on the limited variances or imbalances.
The idea here in terms of a winning strategy is to try to close off each cycle with a repeat, based on the most likely cycle length (and defining elements?), and playing for each cycle length event involves stitching bets of different dozens – often with some overlap to attributes of the previous bet in the sequence – hence “stitched”. An event in one cycle, such as a specific cycle length – could act as a trigger in creating bias for a different event in another cycle.
If a win isn’t forthcoming we can increase the span of the biased game by ending some cycles after 2 or more repeats, but without exceeding what is optimum to avoid falling into the black hole that is the Law of Large Numbers: this is where a game takes a negative turn for the worst and becomes increasingly difficult to recover from, in what inevitably ends up as a losing set.
Each cycle (including possibly each individual spin) – as defined “same” or ”different” to the previous cycle – should be played mostly in a non-probabilistic way through automatically filtering the random personal permanence stream for suitable non-random bet selections using VdW/Arithmetic Progression(AP). This doesn’t work first time out of the box, but must be used as an core component for finding harmony between its non-random selections and the creation of a biased game with stitched bets: when to enter a cycle and when/what to bet on inside a cycle. Often or not the bet should not be placed randomly – but only if supported by VdW – which itself may need tweaking by perhaps first incorporating virtual losses before attempting to form an AP or through some opposite play against forming the AP. Dead-heats will also need to be overcome through playing parallel games to create dependencies (no solution found at the time of writing) or perhaps placing a stitched bet in parallel should the tweaking of VdW alone fail to neutralise the situation. All these principles used together can result in gaining an edge, which can then be taken advantage of by using progressions, riding on the imbalances. However, cycles alone may be the only non-random element needed to gain edge, and the application of VdW has yet to be discovered.
Next time I'll make it longer... as I've had to cut things a bit short, but this should at least get you started with the main topic Random Thoughts - A concise reference
Linkback: http://www.rouletteforum.cc/index.php?topic=17209.0
Here’s a random stream of straight up numbers between the range of 0 and 36 as generated from a Roulette wheel:
17, 20, 11, 35, 34, 12, 23, 15, 31, 30, 24, 21, 3, 1, 7, 11, 14, 25, 13
The above translates to the dozen positions below (1-12, 13-24, 25-36) on the Roulette carpet:
2, 2, 1, 3, 3, 1, 2, 2, 3, 3, 2, 2, 1, 1, 1, 1, 2, 3, 2
Both sets of numbers are sequences of spins. The numbers we work with during a set or game, like the ones above – selected from a larger stream of random numbers – are known as our personal permanence.
The first spin has 3 possible outcomes in terms of dozens: 1, 2 or 3 (ignoring zero and the house edge).
The first 2 spins have 9 different combinations; the first 3 spins have 27 different combinations.
Any outcome of a sequence, based on a specific combination that we measure, is an event. We can also have a sequence of events.
The probability of winning a spin or sequence remains constant in terms of odds providing your bet selections are already predetermined before betting commences; however, upon modifying the bet selection after, say, the first or second spin then the probability/odds has to be recalculated for a reduced sequence. The probability for winning, say, spin 1 and spin 3 would need to be calculated based on a specific combination that could occur during that sequence.
Each event is not equally likely, but has differing probabilities/odds associated with them, creating an imbalance.
Playing larger sequences would involve ever more combinations, outcomes and complex calculations. We can limit the combinations by breaking down our games into cycles based on when a number or dozen (or other section depending on what’s being played) repeats. This is an application of Pigeon Hole Principle, which says a repeat must happen after such a time. It’s also considered to be Non-Random or Non-Probabilistic (or a limit of Random) because it must happen as fact.
22
2133
3122
233
322
211
11
11
1232
The number of spins for each type of combination that ends in a repeat is known as the cycle length. The first cycle has a cycle length of 2 unless we use the alternative convention for counting only the uniques per cycle, in which case it has a cycle length of 1 – a bit like US vs. UK footwear – the convention you choose is down to personal preference, but the next principle would make the case for the latter to be more universally accepted: the repeating dozen that ended the cycle – whose outcome is subsequently used as the first result of the proceeding cycle – is known as the defining dozen and perhaps should not count towards the cycle length. This defining dozen is the link between each cycle creating a biased game – together with ending on a repeat – results in constant ratios from one cycle to the next. This framework is finite (or natural): the defining element of the cycle – be it in dozens, lines, numbers or any position played in a cycle – has a near-fixed probability of being defined the same or different (depending on the position played) cycle to cycle. The cycle lengths between cycles also take on their own near-fixed percentages based on whether the cycle had the same defining element (or was different) to the previous one.
| Cycles | Cycle Length | Defined by |
| 22 | 1 | 2 |
| 2133 | 3 | 3 |
| 3122 | 3 | 2 |
| 233 | 2 | 3 |
| 322 | 2 | 2 |
| 211 | 2 | 1 |
| 11 | 1 | 1 |
| 11 | 1 | 1 |
| 1232 | 3 | 2 |
These constant ratios between cycles means they are less affected by variances and deviations – with a more predictable and stable pattern of sets in the long run, and being short and finite, such cycles escape being caught by the Law of the Large Numbers. However, that doesn’t necessarily mean that the ratios with the most bias are the most profitable of the events, if any. We need to find a way to ride on the limited variances or imbalances.
The idea here in terms of a winning strategy is to try to close off each cycle with a repeat, based on the most likely cycle length (and defining elements?), and playing for each cycle length event involves stitching bets of different dozens – often with some overlap to attributes of the previous bet in the sequence – hence “stitched”. An event in one cycle, such as a specific cycle length – could act as a trigger in creating bias for a different event in another cycle.
If a win isn’t forthcoming we can increase the span of the biased game by ending some cycles after 2 or more repeats, but without exceeding what is optimum to avoid falling into the black hole that is the Law of Large Numbers: this is where a game takes a negative turn for the worst and becomes increasingly difficult to recover from, in what inevitably ends up as a losing set.
Each cycle (including possibly each individual spin) – as defined “same” or ”different” to the previous cycle – should be played mostly in a non-probabilistic way through automatically filtering the random personal permanence stream for suitable non-random bet selections using VdW/Arithmetic Progression(AP). This doesn’t work first time out of the box, but must be used as an core component for finding harmony between its non-random selections and the creation of a biased game with stitched bets: when to enter a cycle and when/what to bet on inside a cycle. Often or not the bet should not be placed randomly – but only if supported by VdW – which itself may need tweaking by perhaps first incorporating virtual losses before attempting to form an AP or through some opposite play against forming the AP. Dead-heats will also need to be overcome through playing parallel games to create dependencies (no solution found at the time of writing) or perhaps placing a stitched bet in parallel should the tweaking of VdW alone fail to neutralise the situation. All these principles used together can result in gaining an edge, which can then be taken advantage of by using progressions, riding on the imbalances. However, cycles alone may be the only non-random element needed to gain edge, and the application of VdW has yet to be discovered.
Next time I'll make it longer... as I've had to cut things a bit short, but this should at least get you started with the main topic Random Thoughts - A concise reference
Linkback: http://www.rouletteforum.cc/index.php?topic=17209.0