# To Gilles and Beaker or others!

#### Dennis Bassboss

##### Member
The recent discussion towards deltas numbers reminded me something...I remember that once it was told on a web site that the numbers are having a clear bias towards the low numbers...
But as we know for 6/49 it is not the case...The bias for 6/49 and it is a slight one is towards high numbers....So here's my question ...
How would the deltas of 01 performed so far in 6/49 in % of winning if we invert the numbers starting by 49=01 48=02 etc..
Let me clarify...lets take this set...
05-11-15-34-46-48
deltas=05-06-04-19-12-02
By inversing these deltas we have...
44-38-34-15-03-01

#### Beaker

##### Member
Dennis Bassboss said:
The recent discussion towards deltas numbers reminded me something...I remember that once it was told on a web site that the numbers are having a clear bias towards the low numbers...
But as we know for 6/49 it is not the case...The bias for 6/49 and it is a slight one is towards high numbers....So here's my question ...
How would the deltas of 01 performed so far in 6/49 in % of winning if we invert the numbers starting by 49=01 48=02 etc..
Let me clarify...lets take this set...
05-11-15-34-46-48
deltas=05-06-04-19-12-02
By inversing these deltas we have...
44-38-34-15-03-01

5-11-15-34-46-48

deltas: 5-6-4-19-12-2

Start at the other end and build the set:

2-14-33-37-43-48

and see what it tells us

Good ones for GillesD or Randal

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#### GillesD

##### Member
Deltas with complementary numbers

Using complementary numbers (1 = 49, 2 = 48, ... 25 = 25, ... 49 = 1) for all 1995 draws and then calculating the new Deltas does not significantly change the results. the following table provides the % of Deltas (1 to 44) first for the regular numbers, then the complimentary numbers.

01 -- 12.1% -- 12.1%
02 -- 11.3% -- 11.3%
03 -- 09.6% -- 10.0%
04 -- 08.7% -- 08.6%
05 -- 07.7% -- 07.8%
06 -- 06.7% -- 06.9%
07 -- 06.0% -- 06.1%
08 -- 05.3% -- 05.4%
09 -- 04.7% -- 04.6%
10 -- 04.0% -- 04.0%
11 -- 03.4% -- 03.3%
12 -- 03.4% -- 03.2%
13 -- 03.0% -- 03.0%
14 -- 02.2% -- 02.3%
15 -- 02.0% -- 02.1%
16 -- 01.9% -- 01.8%
17 -- 01.4% -- 01.3%
18 -- 01.2% -- 01.1%
19 -- 01.0% -- 01.0%
20 -- 00.8% -- 00.8%
21 -- 00.7% -- 00.6%
22 -- 00.6% -- 00.5%
23 -- 00.5% -- 00.4%
24 -- 00.4% -- 00.4%
25 -- 00.3% -- 00.3%
26 -- 00.3% -- 00.2%
27 -- 00.3% -- 00.3%
28 -- 00.1% -- 00.1%
29 -- 00.1% -- 00.1%
30 -- 00.1% -- 00.1%
31 -- 00.0% -- 00.0%
32 -- 00.1% -- 00.1%
33 -- 00.0% -- 00.0%
34 -- 00.0% -- 00.0%
35 -- 00.0% -- 00.0%
36 -- 00.0% -- 00.0%
37 -- 00.0% -- 00.0%
38 -- 00.0% -- 00.0%
39 -- 00.0% -- 00.0%
40 -- 00.0% -- 00.0%
41 -- 00.0% -- 00.0%
42 -- 00.0% -- 00.0%
43 -- 00.0% -- 00.0%
44 -- 00.0% -- 00.0%

The largest difference is 0.4% for Delta = 3. Although this could be expected since when using complementary numbers, at least 4 of the 6 deltas remain unchanged.

For example for draw #1995, numbers are 6, 8, 19, 27, 45, 46 and the Deltas are 6, 2, 11, 8, 18, 1. With complementary numbers, the numbers become 44, 42, 31, 23, 5, 4 and the Deltas are 2, 11, 8, 18, 1, 4. The common Deltas are 2, 11, 8 and 18.

#### GillesD

##### Member
Reversing Deltas

Using Beaker's theory (using the Deltas in reverse order to build new sets of numbers) gives exactly the same values for Deltas as using the original numbers (second column in preceding post).

#### Dennis Bassboss

##### Member
So knowing that it doesn't change the value in the deltas themselves...Could it be reasonnable to speculate that by using complementary numbers we would get many more higher numbers in the upcoming draws (in real numbers) many more 40s and 30s and 20s than by using the conventionnal way of deltas for predicting purposes?
And wouldn't that go right with the current trend or bias towards higher numbers for 6/49?
Judging by those figures it should! But how much would that change the results in terms of winning in real numbers ?

#### Beaker

##### Member
Re: Reversing Deltas

GillesD said:
Using Beaker's theory (using the Deltas in reverse order to build new sets of numbers) gives exactly the same values for Deltas as using the original numbers (second column in preceding post).
Yes, of course the same deltas. What is the distribution of numbers for that? Just total counts.

#### GillesD

##### Member
Reversing Deltas and numbers

I have individual counts but I thing the small table below is more representative. It gives for each decade the average number of times the numbers have come out: the first result is for the regular numbers (1995 draws) and then it applies to numbers after using the Beaker's theory.

01-09 -- 240.8 -- 248.8
10-19 -- 233.2 -- 247.9
20-29 -- 240.9 -- 236.0
30-39 -- 252.3 -- 235.6
40-49 -- 253.9 -- 253.6

There is definitely a shift toward smaller numbers although values for the 40-49 decade has not changed. The greatest changes are in the 10-19 (going up) and the 30-39 (going down).

#### Beaker

##### Member
Re: Reversing Deltas and numbers

GillesD said:
I have individual counts but I thing the small table below is more representative. It gives for each decade the average number of times the numbers have come out: the first result is for the regular numbers (1995 draws) and then it applies to numbers after using the Beaker's theory.

01-09 -- 240.8 -- 248.8
10-19 -- 233.2 -- 247.9
20-29 -- 240.9 -- 236.0
30-39 -- 252.3 -- 235.6
40-49 -- 253.9 -- 253.6

There is definitely a shift toward smaller numbers although values for the 40-49 decade has not changed. The greatest changes are in the 10-19 (going up) and the 30-39 (going down).
Thanks Gilles

I wonder if this reflects the high bias when we look at the deltas in regular order

#### Dennis Bassboss

##### Member
Forget about the Beaker's order from small delta to the highest....What about my way of doing it? It would be much different isn't it?

#### Beaker

##### Member
Dennis Bassboss said:
Forget about the Beaker's order from small delta to the highest....What about my way of doing it? It would be much different isn't it?
He said it was the same when you invert the numbers.

7 posts up .............^............

#### Dennis Bassboss

##### Member
Beaker said:
He said it was the same when you invert the numbers.

7 posts up .............^............
It should not if you follow the order from high to low starting at 49 and going down but without changing the order of the deltas...And one of the reason for that is the current 51.5% value of consecutives we got after 1995 draws ...Too me it is most unlikely that a greater % of these are happenning in the high or low numbers only...so it is creating a lot of values close to the preceding one.. and if the consecutives are spread mostly evenly through the distribution it also should retained a lot of numbers towards the high side when starting from the high side and going down using a delta of one whitout changing the order in the deltas themselves!

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#### Beaker

##### Member

I don't think he did what you wanted

He remapped the existing draws with the compliment number, then he recalculated the delta.

I'm trying to understand your example:

Invert the numbers 49=1,48=2 I got that

So, example 5-11-15-34-46-48
has deltas 5-6-4-19-12-2

How did you get this 44-38-34-15-3-1 ??

#### Dennis Bassboss

##### Member
Beaker said:

I don't think he did what you wanted

He remapped the existing draws with the compliment number, then he recalculated the delta.

I'm trying to understand your example:

Invert the numbers 49=1,48=2 I got that

So, example 5-11-15-34-46-48
has deltas 5-6-4-19-12-2

How did you get this 44-38-34-15-3-1 ??

49-05=44
44-06=38
38-04=34
34-19=15
15-12=03
03-02=01

#### Beaker

##### Member
Dennis Bassboss said:

49-05=44
44-06=38
38-04=34
34-19=15
15-12=03
03-02=01

Ahhhhhh OK,

for sure he didn't do that

#### Dennis Bassboss

##### Member
Of course it doesn't change the values of the deltas from 01 to 44 but what it should be doing is to get in real numbers more high numbers than by using the conventional way...

#### Dennis Bassboss

##### Member
That dramatic increase should be in the high 20s..30s..and low 40s

#### Beaker

##### Member
Dennis Bassboss said:
Of course it doesn't change the values of the deltas from 01 to 44 but what it should be doing is to get in real numbers more high numbers than by using the conventional way...
OK how do you want to see this data?

#### Beaker

##### Member
Dennis Bassboss said:
I have the data and it appears opposite to what you expect. Low number counts are higher in the "inverted" set. High number counts are lower in the "Inverted" set.

1994 draws
Regular Inverted Regular-Inverted
01 --251 --246-- 5
02 --236 --223-- 13
03 --241 --276-- (35)
04 --237 --255-- (18)
05 --244 --251-- (7)
06 --224 --256-- (32)
07 --251 --271-- (20)
08 --236 --253-- (17)
09 --245 --245-- 0
10 --227 --261-- (34)
11 --220 --245-- (25)
12 --243 --254-- (11)
13 --221 --230-- (9)
14 --236 --249-- (13)
15 --221 --234-- (13)
16 --243 --283-- (40)
17 --238 --227-- 11
18 --236 --263-- (27)
19 --246 --289-- (43)
20 --258 --249-- 9
21 --241 --234-- 7
22 --231 --234-- (3)
23 --237 --273-- (36)
24 --226 --240-- (14)
25 --234 --234-- 0
26 --240 --226-- 14
27 --273 --237-- 36
28 --234 --231-- 3
29 --234 --241-- (7)
30 --249 --258-- (9)
31 --289 --246-- 43
32 --263 --236-- 27
33 --227 --238-- (11)
34 --283 --243-- 40
35 --234 --221-- 13
36 --249 --236-- 13
37 --230 --221-- 9
38 --254 --243-- 11
39 --245 --220-- 25
40 --261 --227-- 34
41 --245 --245-- 0
42 --253 --236-- 17
43 --271 --251-- 20
44 --256 --224-- 32
45 --251 --244-- 7
46 --255 --237-- 18
47 --276 --241-- 35
48 --223 --236-- (13)
49 --246 --251-- (5)

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#### Beaker

##### Member
This is interesting - symmetrical with 25 in the middle.
..Regular...Inv...Reg-Inv
31 --289 --246-- 43
34 --283 --243-- 40
27 --273 --237-- 36
47 --276 --241-- 35
40 --261 --227-- 34
44 --256 --224-- 32
32 --263 --236-- 27
39 --245 --220-- 25
43 --271 --251-- 20
46 --255 --237-- 18
42 --253 --236-- 17
26 --240 --226-- 14
02 --236 --223-- 13
35 --234 --221-- 13
36 --249 --236-- 13
17 --238 --227-- 11
38 --254 --243-- 11
20 --258 --249-- 9
37 --230 --221-- 9
21 --241 --234-- 7
45 --251 --244-- 7
01 --251 --246-- 5
28 --234 --231-- 3
09 --245 --245-- 0

25 --234 --234-- 0
41 --245 --245-- 0
22 --231 --234-- (3)
49 --246 --251-- (5)
05 --244 --251-- (7)
29 --234 --241-- (7)
13 --221 --230-- (9)
30 --249 --258-- (9)
12 --243 --254-- (11)
33 --227 --238-- (11)
14 --236 --249-- (13)
15 --221 --234-- (13)
48 --223 --236-- (13)
24 --226 --240-- (14)
08 --236 --253-- (17)
04 --237 --255-- (18)
07 --251 --271-- (20)
11 --220 --245-- (25)
18 --236 --263-- (27)
06 --224 --256-- (32)
10 --227 --261-- (34)
03 --241 --276-- (35)
23 --237 --273-- (36)
16 --243 --283-- (40)
19 --246 --289-- (43)

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