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Resumo:
verdes (0 e 00). Então, se você colocar um dinheirinho no par, você quase tem uma boa
ance de 50 50 💋 (50%) de ganhar, Mas na realidade você só tem um 18 em roulette casino online 38 chance
37% de chance. Do ponto 💋 de vista matemático, Você acha que a roleta é um jogo justo?
ra ':.
Como não há duas rodadas geralmente iguais, ficar 💋 apenas com um número de sorte
texto:
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Cantante escocés sube al escenario de Take That en reemplazo de Olly Murs en Glasgow
Un cantante escocés ha dicho que ♠ está "aún en una nube" después de ser elegido al azar para reemplazar a Olly Murs como acto de apertura ♠ para Take That en el último momento.
Murs se suponía que abriría para Take That en el OVO Hydro en Glasgow ♠ el viernes, pero tuvo que retirarse después de quedar atrapado en Londres cuando se canceló su vuelo.
Un cantante desconocido obtiene ♠ su gran oportunidad
El presentador escocés Ross King estaba viendo a Daniel Rooney tocar en el Radisson hotel frente al recinto ♠ cuando se enteró de que Take That estaba sin acto de apertura.
Impresionado con sus voces, King recomendó a Rooney ♠ a su amigo y al líder de Take That, Gary Barlow, para llenar el hueco, con solo 30 minutos para ♠ llegar al lugar.
Rooney compartió más tarde una serie de imágenes y videos de su actuación ante 14.000 fanáticos en ♠ Instagram, describiéndolo como una "noche loca".
"Apenas he dormido, todavía corro por las nubes", agregó.
"Gracias a todos por los ♠ lindos mensajes sobre el espectáculo y el apoyo hasta ahora."
Los miembros de Take That elogian al improvisado reemplazo
Gary Barlow y Mark Owen elogiaron a Rooney en las redes ♠ sociales por su actuación de último momento, mientras que Olly Murs se disculpó por perderse el espectáculo.
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Previous chapters:
The roulette bias winning method of García Pelayo
Betting system for
biased wheels
As we can observe, if we have a 💵 thousand spins taken from a truly random
table, without bias, we would hardly find the most spun number having something 💵 beyond
15 positives. Likewise, we have a soft limit for the best two numbers, the two which
have been spun 💵 the most, of +26. If we continue searching for different groups of best
numbers, we can center in the sum 💵 of the best nine, which have a soft limit of +67. Why
the soft limit only? Because the hard limit 💵 is too erratic and luck might make a number
to fire-up without actually having any bias. It is more trustworthy 💵 to work with the
soft limit, which occurs 95% of the time, making decisions based on it. These tables
are 💵 more reliable the larger the numerical group is. Application to a single number
being more doubtful than the sum of 💵 the best six, where it is harder for luck to
interfere in a decisive manner. I make the study only 💵 up to the best nine, because if
there are ten or more best numbers outside the limit, it tells the 💵 table is entirely
good, and this is already studied on the first part.
How do these tables complement the
previous analysis? 💵 It might be the case that a roulette as a whole doesn’t goes beyond
the soft limit, as we studied 💵 at the beginning, but the best four numbers do go beyond.
They can be bet without much risk, awaiting to 💵 collect more data which defines with a
higher accuracy the quality of the current roulette table. When a roulette is 💵 truly
good, we will likewise reinforce on its quality by proving it does go outside of the
limits set on 💵 these tables.
Always using simulation tests on the computer, this is, in
a experimental non-theoretical way, I studied other secondary limits 💵 which assist to
complete the analysis of any statistics taken from a roulette. For instance, “how many
consecutive numbers, as 💵 they are ordered on the wheel, can be throwing positives?”, or
“How many positives can two consecutive numbers have as 💵 a maximum?”. I do not show
these tables because they are not essential and only confirm BIAS which should have
💵 been detected by the tables previously shown. Any way, we will see some practical
examples below.
So far the system was 💵 based on evidence that -although simulated- was
being empirical; these were made with the help of the computer in order 💵 to verify the
behavior of a random roulette.
I found the limits up to where luck alone could take it,
then 💵 I was able to effectuate a comparison with real-life statistics from machines
which were clearly showing result outside the limits 💵 of pure chance, this is, they
pointed to trends that would remain throughout its life if their materials would not
💵 suffer alterations. These physical abnormalities could be due to pockets of unequal
size, however small this inequality, lateral curvatures leaving 💵 sunken areas with the
counterweight of other raised areas. Or even a different screwing of the walls from the
pockets 💵 collecting the ball so that a harder wall means more bounce. With the
consequent loss of results that are increased 💵 in the neighboring pockets which collect
these bounced balls with a higher frequency than normal.
On theoretical grounds I
studied areas 💵 of mathematics unknown to me, in the probability branch, and worked a lot
with the concept of variance and standard 💵 deviations. They helped me, but I could not
apply them correctly given the complexity of roulette, that is more like 💵 a coin with 18
sides and 19 crosses bearing different combinatorial situations, which invalidate the
study with binomials and similar.
The 💵 major theoretical discovery was forwarded to me
by a nephew, who was finishing his career in physics. He referred me 💵 some problems on
the randomness of a six-sided die. To do this they were using a tool called the « 💵 chi
square », whose formula unraveled -with varying degrees of accuracy- the perfection or
defects from each drawn series. How 💵 come nobody had applied that to roulette?
I handled
myself with absolute certainty in the study of the machines, to which 💵 the fleet had
already pulled out great performance up to that date, thanks to our experimental
analysis, but theoretical confirmation 💵 of these analyzes would give me a comforting
sense of harmony (In such situations I’m always humming «I giorni
dell’arcoballeno»*.
We 💵 carefully adapt this formula to this 37-face die and it goes as
follows:
The chi square of a random roulette should 💵 shed a number close to 35.33. Only
5% of the time (soft limit) a number of 50.96 can be reached 💵 -by pure luck- and only
0.01% of the time it will be able to slightly exceed the hard limit of 💵 67.91.
We had to
compare these numbers with those from the long calculations to be made on the
statistics from the 💵 real wheel we were studying. How are these calculations made?
The
times the first number has showed minus all tested spins 💵 divided by 37, all squared,
and divided by the total of analyzed spins divided by 37.
Do not panic. Let’s suppose
💵 the first number we analyze is the 0, to follow in a clockwise direction with all other
roulette numbers. Let’s 💵 suppose on a thousand spins sample number 0 has come out 30
times:
(30-1000/37) squared and the result divided by (1000/37) 💵 = 0.327
The same should
be done with the following number, in this case in wheel order, proceeding with 32 and
💵 following with all roulette numbers. The total sum of results is the chi square of the
table. When compared with 💵 the three figures as set out above we will find if this
machine has a tendency, more or less marked, 💵 or it is a random table instead.
The
calculation, done by hand, frightens by its length but using a computer it 💵 takes less
than a flash.
Statistical analysis of numbers and wheel bias identification
strategy
While in my experimental tests I only watched 💵 leader numbers , this chi-square
test also has in mind those numbers that come out very little and also unbalance 💵 the
expected result.
There was a moment of magic when I found that the results of the
previous tables were perfectly 💵 in accordance with the results that the chi-square test
threw.
With all these weapons for proper analysis I did a program 💵 from which, finally,
we’ll see some illustrations:
TOTAL POSITIVE + 127 HIGHER + 24 L1 + 41 L2 + 70 L3 💵 + 94
L4 + 113
LB + 174 A + 353 B + 243 C + 195 NA 4 AG 60 💵 AD 46 N.° P 12 SPINS 10.000
CHI
37,18 50,96 67,91 35,33 DV-7,51 ROULETTE/DAY: RANDOM
*LB = Límite blando = Soft
limit.
In 💵 this chart I created throwing 10,000 spins to simulate a random table, we can
find all patterns of randomness; this 💵 will serve to compare with other real tables
we’ll see later.
In the bottom of the table, to the left at 💵 two columns, there are all
European roulette numbers placed on its actual disposition starting at 0 and continuing
in clockwise 💵 direction (0, 32 15, 19, 4, 21, 2, 25, etc.). We highlighted those which
have appeared more, not only based 💵 on their probability, which is one time out of 37,
but also based on the need to profit, i.e. more 💵 than once every 36.
If the average to
not lose with any number would be 1.000/36 = 27.77, our 0 has 💵 come out forty times;
therefore it is on 40, to which we subtract 27.77 = 12.22. Which are its positives, 💵 or
extra shows; therefore we would have gain. When 20 is – 4 4, 7 8 it is the number 💵 of
chips lost on the 10,000 spins thrown.
In the first row we find the total positive sum
of all the 💵 lucky numbers is +127 (the mean of a random table in our first table is
+126), away from the soft 💵 limit* (*Soft limit = Límite blando = LB), which is at the
beginning of the second row, and which for 💵 that amount of spins is +174. Next to it is
the reference of known biased tables, (All taken from the 💵 first table) which shows that
even the weakest (table C) with +195 is far from the poor performance which begins 💵 to
demonstrate that we are in front of a random table where drawn numbers have come out by
accident, so 💵 it will possibly be others tomorrow.
Returning to the first row we see
that our best number has +24 (it is 💵 2) but that the limit for a single number ( L l )
is +41, so it is quite normal 💵 that 2 has obtained that amount, which is not
significant. If we want to take more into account we are 💵 indicated with L2, L3 and L4
the limits of the two, three and four best numbers, as we saw in 💵 the second tables (our
two best would be 2 and 4 for a total of +42 when their limit should 💵 be +70). Nothing
at all for this part.
In the middle of the second row NA 4 it means that it 💵 is
difficult to have over four continuous single numbers bearing positives (we only have
two). AG 60 tells us that 💵 the sum of positives from continuous numbers is not likely to
pass sixty (in our case 0 and 32 make 💵 up only +21). AD 46 is a particular case of the
sum of the top two adjacent numbers (likewise 0 💵 and 32 do not reach half that limit).
After pointing out the amount of numbers with positives (there are 12) 💵 and the 10,000
spins studied we move to the next row which opens with the chi square of the table.
In
💵 this case 37,18 serves for comparison with the three fixed figures as follow: 50.96
(soft limit of chi), 67.91 (hard 💵 limit) and 35.33 which is a normal random table. It is
clear again that’s what we have.
Follows DV-751 which is 💵 the usual disadvantage with
these spins each number must accumulate (what the casino wins). Those circa this amount
(the case 💵 of 3) have come out as the probability of one in 37 dictates, but not the one
in 36 required 💵 to break even. We conclude with the name given to the table.
From this
roulette’s expected mediocrity now we move to 💵 analyze the best table that we will see
in these examples. As all of the following are real tables we 💵 played (in this case our
friends “the submarines” *) in the same casino and on the same dates. The best, 💵 table
Four:
(* Note: “Submarines” is the euphemism used by Pelayo to name the hidden players
from his team).
TOTAL POSITIVES + 💵 363 HIGHER + 73 L1 + 46 L2 + 78 L3 + 105 L4 + 126
LB
+ 185 A + 💵 447 B + 299 C + 231 NA 4 AG 66 AD 52 N.° P 13 SPINS 13.093
CHI 129,46 50,96
💵 67,91 35,33 DV-9,83 ROULETTE/DAY: 4-11-7
What a difference! Here almost everything is
out of the limits: the positive (+363) away from 💵 the soft limit of 185. The table does
not reach A but goes well beyond the category of B. The 💵 formidable 129.46 chi, very far
from the fixed hard limit of 67.91 gives us absolute mathematical certainty of the very
💵 strong trends this machine experience. The magnificent 11 with +73 reaches a much
higher limit of a number (L1 46), 💵 11 and 17 break the L2, if we add 3 they break the
L3, along with 35 they break the 💵 L4 with a whopping +221 to fulminate the L4 (126). It
doesn’t beat the mark for contiguous numbers with positives 💵 (NA 4), because we only
have two, but AG 66 is pulverized by the best group: 35 and 3,along with 💵 that formed by
17 and 37, as well as the one by 36 and 11. The contiguous numbers that are 💵 marked as
AD 52 are again beaten by no less than the exact three same groups, showing themselves
as very 💵 safe. Finally it must be noted that the large negative groups ranging from 30
to 16 and 31 to 7 💵 appear to be the mounds that reject the ball, especially after seeing
them in the graph on the same arrangement 💵 as found in the wheel.
Playing all positive
numbers (perhaps without the 27) we get about 25 positive gain in one 💵 thousand played
spin (the table is between B and A, with 20 and 30 positives of expectation in each
case). 💵 It is practically impossible not winning playing these for a thousand spins,
which would take a week.
Another question is chip 💵 value, depending on the bank we have.
My advice: value each chip to a thousandth of the bank. If you 💵 have 30,000 euros, 30
euros for each unit. These based on the famous calculations of “Ruin theory” precisely
to avoid 💵 ruining during a rough patch.
Another interesting table for us, the
Seven:
TOTAL POSITIVES + 294 HIGHER + 83 L1 + 56 💵 L2 + 94 L3 + 126 L4 + 151
LB + 198 A +
713 B + 452 C + 325 💵 NA 4 AG 77 AD 62 N.° P 13 SPINS 21.602
CHI 77,48 50,96 67,91 35,33
DV-16,22 ROUILETTE/DAY: 7-9-3
This table seven, 💵 with many spins, is out of bounds in
positives and chi, but the quality is less than C. It has, 💵 however, a large area
ranging from 20 to 18 having almost +200 by itself, that breaks all NA, AG and 💵 AD,
which while being secondary measures have value here. No doubt there’s something,
especially when compared with the lousy zone 💵 it is faced with from 4 to 34 (I wouldn’t
save the 21). Here should be a “downhill area” which 💵 is detected in this almost
radiography. The slope seems to end at the magnificent 31. Also add the 26. Finally, 💵 a
typical roulette worth less than average but more than B and C which is out of bounds
with three 💵 well defined areas that give a great tranquility since even as it doesn’t
has excessive quality, with many balls it 💵 becomes very safe.
Table Eight:
TOTAL
POSITIVES + 466 HIGHER + 107 L1 + 59 L2 + 99 L3 + 134 L4 💵 + 161
LB + 200 A + 839 B + 526
C + 372 NA 4 AG 83 AD 73 N.° 💵 P 14 SPINS 25.645
CHI 155,71 50,96 67,91 35,33 DV-19,26
ROULETTE/DAY: 8-12-7
It is the first time that we publish these authentic 💵 soul
radiographies of roulette. My furthest desire is not to encourage anyone who,
misunderstanding this annex, plays happily the hot 💵 numbers on a roulette as seen out
while dining. That’s not significant and I certainly do not look forward to 💵 increase
the profits of the casinos with players who believe they are practicing a foolproof
system. It takes many spins 💵 to be sure of the advantage of some numbers. Do no play
before.
Be vigilant when you find a gem to 💵 detect they do not touch or modify it in
part or its entirety. If this happens (which is illegal but 💵 no one prevents it), your
have to re-study it as if it were a new one.
Regardless of how much advantage 💵 you have
(and these roulette tables are around 6% advantage, ie, more than double the 2.7%
theoretical advantage of the 💵 casino) it does not hurt that luck helps. I wish so to
you.
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