STATISTICS SECTION
Mr Oops Roulette site ~ Statistics: Wait for a Repeat, Winner Repeats, Law of Distribution, Sequences of the Even Chances, Sequences of the Thirds
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WAIT FOR A REPEAT

The tables in this section will answer the question "How many spins do I have to wait, until the last winning outcome repeats?"
The winning outcome can be any one of the single numbers, single or double streets, dozens, columns or the even chances.

The answer is shown in the form of a "hit table" with the total numbers of found first repeats noted for each spin (also in % and accum values).
Example (bottom of page)

The waitings are 1 to 36 spins (plus accumulated longer) or 1 to 111 (plus accumulated longer) - see below - for the single numbers, 1 to 36 (+ acc l) for the single streets, 1 to 18 (+ a l) for double streets, 1 to 9 (+ a l) for dozens and columns, and 1 to 6 (+ a l) for the even chances.

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To make these tables, every outcome (0, 17, 5th double street, red etc) got its own counter. The counter was intialized to zero when the first occurrence of the outcome was found and then incremented by one for each spin after that, until the next occurrence when the counter (after the counting has been taken into the table) was again initialized to zero.

This means, that no counting was made until after the first occurrence of the outcome. Example for single numbers - start of a day's sequence:

11, 23, 15, 1, 12, 10, 23, 10, 10

At this moment, between spins nine and ten, only 11, 23, 15, 1, 12 and 10 have counters that are initialized. The counter for 11 is at 8, 15 at 6, 1 at 5, 12 at 4, 23 at 2 and the counter for 10 is at 0.

Countings that have been taken into the table at or before this moment are 5 (for 23), 2 (for first 10) and 1 (second 10).


At end-of-day (or after 50th spin where only 50 were available) or end-of-file, no active counters were taken into the tables. This means, that the absence of a repeat until day's end was not counted for. Example for single numbers - end of a day's sequence:

. . . 14, 32, 0, 17, 32, 12

At this moment, after the last spin of the day or file, the counter for 14 is at 5, 0 at 3, 17 at 2, 32 at 1 and the counter for 12 is at 0. None of these countings are taken into the table.

A new day, or a completely new file, resets all counters to the un-initialized state.

This is why the tables do not add upp to the total number of spins.

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One SPECIAL run was made for the SINGLE NUMBERS.

As there are four files (in "the German Files" set) with only 50 spins per day it seemed use-less to make statistics for more than 36 spins (plus accumulated longer) using these files. But as figures for longer waits are of interest, the files containing spins for full days were run for the single numbers in a special session. The countings for waits were up to 111 (plus accumulated longer).

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The results are compiled into eight tables showing outcome types, as the figures for every single outcome within the groups are close to equal.

One table for all Single Numbers
One table for all Single Streets
One table for all Double Streets
One table for all Dozens
One table for all Columns
Low and High in one table
Even and Odd in one table
Red and Black in one table

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The tables are pretty straight-forward to read:

1st col tells at what spin, after an occurrence, the 1st repeat was found.
2nd col tells how many 1st repeats there was found, at this spin.
3rd col tells the same as the second but in per centage of the total found.
4th col is the accumulated figures from the second column.
5th col is the accumulated per centages from column three.

Example:
This is an excerpt from the Single Numbers (all files) table
Rpt at   N o R   % o T   AN o R   A% o T
----------------------------------------
...
  16th    6510   1.958   135925   40.878
...
The above should be read:
There was a first repeat of the previous winner at the 16th spin in 6510 cases of all the investigated spins (or in 1.958% of all found 1st repeats). This far (1st to 16th spin, accumulated), there was a first repeat in 135,925 cases (or in 40.878% of all found 1st repeats).
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STATISTICS -
WAIT FOR A REPEAT area:

Sng Nums, af 
Sng Nums, fd
Strt Dzn Col
Even Chances



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