Multi Multi Results — 16.09.2005

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 16.09.2005. A Multi Multi bet costs 2.50 PLN (5 PLN with the Plus option), and draws take place twice a day, at 14:00 and 22:00.

Draw no. 3056 at 14:00 on 16.09.2005

3 7 11 12 18 36 38 39 41 47 51 53 54 58 61 64 72 74 77 78 38

Prize results not yet published.

After-draw report: rules and windows

Most matches: rule and number of earlier draws

Average gap — previous 23 draws

The set used draws from 24.08.2005 to 15.09.2005.

Main-number matches: 6 of 10.

Multi Multi: we show matches for a 10-number selection against the 20 drawn numbers. The payout depends on the variant, stake and Plus option, so it is not calculated here.

We checked 4980 rule-window settings: 20 rules derived from existing analyses and the available windows from 2 to 250 draws. Different settings could produce the same number set. 40 settings reached the highest match count. For ties, we show the shortest window, then the first rule in a fixed order.

The highest result was selected only after the draw was known. This is a retrospective comparison, not evidence of predictive ability or an advantage.

20 analyses compared: the best window for each rule

Each row shows the best preceding-draw window for one rule. These are explicit 10-number selection rules derived from existing analyses; the statistics pages themselves do not pick tickets. The ranking and windows were selected after the result was known. A tie within a rule goes to the shorter window.

Analysis and selection rule	Previous draws	Matches
Average gap Highest average completed gaps; fewer than two hits receive a separate value. Average gap — 23 preceding draws, excluding the evaluated draw	23	6 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. Low and high balance — 74 preceding draws, excluding the evaluated draw	74	6 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. Two-draw rhythm — 94 preceding draws, excluding the evaluated draw	94	6 / 10
Frequent pairs Sum of squared frequencies of pairs containing a number. Frequent pairs — 113 preceding draws, excluding the evaluated draw	113	6 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. Frequent triplets — 113 preceding draws, excluding the evaluated draw	113	6 / 10
Most frequent numbers The 10 highest frequencies in the window. Most frequent numbers — 114 preceding draws, excluding the evaluated draw	114	6 / 10
Frequent final digits Frequency of the same final digit among the other numbers. Frequent final digits — 223 preceding draws, excluding the evaluated draw	223	6 / 10
Record gap Longest run of absence within the window. Record gap — 8 preceding draws, excluding the evaluated draw	8	5 / 10
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. Adjacent numbers — 20 preceding draws, excluding the evaluated draw	20	5 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. Period-half comparison — 50 preceding draws, excluding the evaluated draw	50	5 / 10
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. Even and odd balance — 84 preceding draws, excluding the evaluated draw	84	5 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. Number partners — 93 preceding draws, excluding the evaluated draw	93	5 / 10
Number dispersion Starting with the most frequent number, choose each next number as far as possible from those selected. Number dispersion — 228 preceding draws, excluding the evaluated draw	228	5 / 10
Historical sum midpoint The 10 numbers nearest the median historical draw sum divided by 20. Historical sum midpoint — 2 preceding draws, excluding the evaluated draw	2	4 / 10
Least frequent numbers The 10 lowest frequencies in the window. Least frequent numbers — 5 preceding draws, excluding the evaluated draw	5	4 / 10
Longest gaps The 10 longest current gaps. Longest gaps — 5 preceding draws, excluding the evaluated draw	5	4 / 10
First and last numbers Frequency of being the smallest or largest number in a draw. First and last numbers — 43 preceding draws, excluding the evaluated draw	43	4 / 10
Frequent decades Decade frequency divided by the number of values in that decade. Frequent decades — 4 preceding draws, excluding the evaluated draw	4	3 / 10
Previous-draw repeats Numbers from the previous draw first; ties by number. Previous-draw repeats — 2 preceding draws, excluding the evaluated draw	2	2 / 10
Short-window change Excess frequency in the latest 10 draws versus the full window. Short-window change — 2 preceding draws, excluding the evaluated draw	2	2 / 10

Four-rule comparison with a fixed 25-draw window

Each 10-number set was chosen using only the previous 25 draws. The current result was used solely for evaluation. This is a historical simulation, not a record of a ticket actually played.

Selection window for this result: 22.08.2005–15.09.2005.

Rule and selected numbers	Matches
Most frequent numbers 12 18 20 24 30 38 39 41 48 71	5 / 10
Least frequent numbers 1 5 7 17 26 32 44 61 64 80	3 / 10
Longest gaps 1 2 3 7 13 14 21 36 58 80	4 / 10
Previous-draw repeats 5 6 8 11 16 18 22 23 24 27	2 / 10
Number partners 6 18 23 24 30 39 46 48 49 79	2 / 10
Two-draw rhythm 12 19 23 24 30 43 66 71 76 79	1 / 10
Short-window change 1 4 6 16 23 44 51 52 57 76	1 / 10
Period-half comparison 1 4 5 6 26 32 44 47 50 51	2 / 10
Average gap 5 11 17 35 37 40 61 64 65 77	4 / 10
Record gap 1 5 14 17 26 32 44 52 56 80	0 / 10
Frequent pairs 18 20 24 30 39 41 48 54 71 78	5 / 10
Frequent triplets 18 20 24 30 39 41 48 54 71 78	5 / 10
Frequent decades 21 22 23 24 25 26 27 28 29 30	0 / 10
Frequent final digits 8 9 18 19 28 38 58 59 68 78	4 / 10
Even and odd balance 12 15 20 24 30 39 41 48 71 79	3 / 10
Low and high balance 12 20 24 30 39 41 48 54 62 71	4 / 10
Historical sum midpoint 36 37 38 39 40 41 42 43 44 45	4 / 10
Number dispersion 1 12 24 31 38 45 52 66 73 80	2 / 10
Adjacent numbers 4 19 20 23 24 25 38 39 48 54	3 / 10
First and last numbers 1 2 3 4 6 12 76 78 79 80	3 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 28.08.2005–16.09.2005.

For each of the 20 draws, the set was selected again using only the preceding 25 results. The column below counts fewer than three main-number matches; it does not determine prizes in Eurojackpot or Multi Multi. Costs and profit are not compared here.

Rule and selected numbers	Total matches	Fewer than 3 main matches
Most frequent numbers	56	6 / 20
Least frequent numbers	53	10 / 20
Longest gaps	53	9 / 20
Previous-draw repeats	49	13 / 20
Number partners		/ 20
Two-draw rhythm		/ 20
Short-window change		/ 20
Period-half comparison		/ 20
Average gap		/ 20
Record gap		/ 20
Frequent pairs		/ 20
Frequent triplets		/ 20
Frequent decades		/ 20
Frequent final digits		/ 20
Even and odd balance		/ 20
Low and high balance		/ 20
Historical sum midpoint		/ 20
Number dispersion		/ 20
Adjacent numbers		/ 20
First and last numbers		/ 20

Expected total matches for 10 random numbers against 20 drawn numbers over 20 draws: 50.00. This is a theoretical value, not the result of another ticket.

A fit to past draws does not improve the odds in the next draw. Amounts are hypothetical, gross and shown only for prize tiers with a known payout.

See the full historical evaluation

Partners of the numbers in this draw

Background: up to 50 draws immediately preceding this draw, N = 50. The table describes history and does not predict the next result.

Number	Occurrences	Most frequent partners (together)
3	12	31 × 9 · 20 × 8 · 78 × 6 · expected ≈ 2.9
7	8	31 × 5 · 24 × 4 · 28 × 4 +2 tied · expected ≈ 1.9
11	12	24 × 7 · 66 × 6 · 8 × 5 +12 tied · expected ≈ 2.9
12	11	48 × 8 · 54 × 6 · 24 × 5 +2 tied · expected ≈ 2.6
18	14	31 × 8 · 14 × 6 · 21 × 6 +4 tied · expected ≈ 3.4
36	17	31 × 9 · 24 × 8 · 16 × 7 +3 tied · expected ≈ 4.1
38	15	23 × 8 · 21 × 7 · 31 × 7 +2 tied · expected ≈ 3.6
39	14	24 × 8 · 31 × 7 · 49 × 7 +1 tied · expected ≈ 3.4
41	16	24 × 12 · 48 × 8 · 31 × 7 +1 tied · expected ≈ 3.8
47	12	31 × 8 · 27 × 7 · 62 × 7 · expected ≈ 2.9
51	12	71 × 8 · 31 × 6 · 2 × 5 +5 tied · expected ≈ 2.9
53	16	62 × 9 · 23 × 7 · 31 × 7 +4 tied · expected ≈ 3.8
54	14	78 × 8 · 24 × 7 · 12 × 6 +5 tied · expected ≈ 3.4
58	9	13 × 5 · 18 × 5 · 41 × 5 +3 tied · expected ≈ 2.2
61	7	28 × 5 · 45 × 5 · 55 × 5 +2 tied · expected ≈ 1.7
64	12	20 × 6 · 24 × 5 · 25 × 5 +7 tied · expected ≈ 2.9
72	18	24 × 8 · 46 × 8 · 62 × 8 · expected ≈ 4.3
74	10	49 × 6 · 55 × 5 · 60 × 5 +2 tied · expected ≈ 2.4
77	9	20 × 5 · 31 × 5 · 4 × 4 +5 tied · expected ≈ 2.2
78	17	24 × 10 · 31 × 9 · 54 × 8 · expected ≈ 4.1

Draw map for the day

Draw map Multi Multi from 16.09.2005 — numbers from 1 to 80 with hits marked
draw	time	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50	51	52	53	54	55	56	57	58	59	60	61	62	63	64	65	66	67	68	69	70	71	72	73	74	75	76	77	78	79	80
3056	14:00			3				7				11	12						18																		36		38	39		41						47				51		53	54				58			61			64								72		74			77	78