Multi Multi Results — 21.10.2005

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 21.10.2005. 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. 3091 at 14:00 on 21.10.2005

2 8 12 15 19 29 31 38 44 46 47 50 54 62 66 67 69 71 75 80 80

Prize results not yet published.

After-draw report: rules and windows

Most matches: rule and number of earlier draws

Average gap — previous 133 draws

The set used draws from 10.06.2005 to 20.10.2005.

Main-number matches: 7 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. 4 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 — 133 preceding draws, excluding the evaluated draw	133	7 / 10
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. Adjacent numbers — 151 preceding draws, excluding the evaluated draw	151	7 / 10
Least frequent numbers The 10 lowest frequencies in the window. Least frequent numbers — 27 preceding draws, excluding the evaluated draw	27	6 / 10
Record gap Longest run of absence within the window. Record gap — 84 preceding draws, excluding the evaluated draw	84	6 / 10
First and last numbers Frequency of being the smallest or largest number in a draw. First and last numbers — 7 preceding draws, excluding the evaluated draw	7	5 / 10
Frequent final digits Frequency of the same final digit among the other numbers. Frequent final digits — 14 preceding draws, excluding the evaluated draw	14	5 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. Period-half comparison — 129 preceding draws, excluding the evaluated draw	129	5 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. Number partners — 2 preceding draws, excluding the evaluated draw	2	4 / 10
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. Even and odd balance — 2 preceding draws, excluding the evaluated draw	2	4 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. Low and high balance — 2 preceding draws, excluding the evaluated draw	2	4 / 10
Longest gaps The 10 longest current gaps. Longest gaps — 9 preceding draws, excluding the evaluated draw	9	4 / 10
Frequent decades Decade frequency divided by the number of values in that decade. Frequent decades — 12 preceding draws, excluding the evaluated draw	12	4 / 10
Most frequent numbers The 10 highest frequencies in the window. Most frequent numbers — 20 preceding draws, excluding the evaluated draw	20	4 / 10
Number dispersion Starting with the most frequent number, choose each next number as far as possible from those selected. Number dispersion — 20 preceding draws, excluding the evaluated draw	20	4 / 10
Frequent pairs Sum of squared frequencies of pairs containing a number. Frequent pairs — 23 preceding draws, excluding the evaluated draw	23	4 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. Frequent triplets — 23 preceding draws, excluding the evaluated draw	23	4 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. Two-draw rhythm — 55 preceding draws, excluding the evaluated draw	55	4 / 10
Previous-draw repeats Numbers from the previous draw first; ties by number. Previous-draw repeats — 2 preceding draws, excluding the evaluated draw	2	3 / 10
Short-window change Excess frequency in the latest 10 draws versus the full window. Short-window change — 12 preceding draws, excluding the evaluated draw	12	3 / 10
Historical sum midpoint The 10 numbers nearest the median historical draw sum divided by 20. Historical sum midpoint — 3 preceding draws, excluding the evaluated draw	3	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: 26.09.2005–20.10.2005.

Rule and selected numbers	Matches
Most frequent numbers 2 10 13 15 19 20 22 37 40 80	4 / 10
Least frequent numbers 4 9 17 27 29 31 50 54 69 76	5 / 10
Longest gaps 6 9 16 18 27 30 31 38 54 69	4 / 10
Previous-draw repeats 8 10 13 15 19 20 22 25 26 34	3 / 10
Number partners 8 13 15 19 20 22 34 52 58 77	3 / 10
Two-draw rhythm 11 15 32 34 35 42 51 52 63 74	1 / 10
Short-window change 4 13 21 22 45 48 52 74 75 78	1 / 10
Period-half comparison 4 7 11 13 21 48 53 60 62 78	1 / 10
Average gap 3 9 17 23 29 31 50 64 73 76	3 / 10
Record gap 4 9 17 27 31 50 51 54 62 78	4 / 10
Frequent pairs 2 10 15 19 22 37 40 42 58 80	4 / 10
Frequent triplets 10 13 15 19 22 37 40 42 58 80	3 / 10
Frequent decades 31 32 33 34 35 36 37 38 39 40	2 / 10
Frequent final digits 2 12 30 32 42 50 52 62 72 78	4 / 10
Even and odd balance 2 10 13 15 19 22 35 37 40 80	4 / 10
Low and high balance 15 19 22 37 40 41 42 46 58 80	4 / 10
Historical sum midpoint 35 36 37 38 39 40 41 42 43 44	2 / 10
Number dispersion 1 11 22 30 37 51 58 65 72 80	1 / 10
Adjacent numbers 13 14 19 20 34 37 38 40 41 42	2 / 10
First and last numbers 1 2 3 4 5 6 8 77 79 80	3 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 02.10.2005–21.10.2005.

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	51	9 / 20
Least frequent numbers	46	11 / 20
Longest gaps	45	13 / 20
Previous-draw repeats	47	12 / 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)
2	14	66 × 8 · 20 × 6 · 30 × 6 +5 tied · expected ≈ 3.4
8	12	46 × 7 · 13 × 6 · 18 × 6 +2 tied · expected ≈ 2.9
12	11	43 × 6 · 51 × 5 · 68 × 5 +1 tied · expected ≈ 2.6
15	19	40 × 10 · 51 × 10 · 19 × 8 +2 tied · expected ≈ 4.6
19	15	15 × 8 · 3 × 7 · 20 × 7 +2 tied · expected ≈ 3.6
29	10	41 × 6 · 10 × 5 · 48 × 5 +2 tied · expected ≈ 2.4
31	7	4 × 4 · 8 × 4 · 18 × 4 +3 tied · expected ≈ 1.7
38	13	10 × 7 · 37 × 6 · 39 × 6 +2 tied · expected ≈ 3.1
44	9	79 × 5 · 1 × 4 · 2 × 4 +8 tied · expected ≈ 2.2
46	19	32 × 9 · 72 × 9 · 79 × 9 · expected ≈ 4.6
47	16	62 × 8 · 18 × 7 · 41 × 7 +2 tied · expected ≈ 3.8
50	8	15 × 7 · 48 × 5 · 30 × 4 +3 tied · expected ≈ 1.9
54	11	30 × 6 · 47 × 6 · 41 × 5 +4 tied · expected ≈ 2.6
62	14	47 × 8 · 41 × 7 · 30 × 6 +1 tied · expected ≈ 3.4
66	12	2 × 8 · 20 × 7 · 15 × 6 +2 tied · expected ≈ 2.9
67	12	46 × 7 · 30 × 6 · 47 × 6 +1 tied · expected ≈ 2.9
69	10	30 × 6 · 51 × 5 · 79 × 5 · expected ≈ 2.4
71	14	20 × 7 · 74 × 7 · 35 × 6 +4 tied · expected ≈ 3.4
75	10	72 × 7 · 13 × 6 · 19 × 6 · expected ≈ 2.4
80	12	32 × 6 · 48 × 6 · 55 × 6 · expected ≈ 2.9

Draw map for the day

Draw map Multi Multi from 21.10.2005 — 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
3091	14:00		2						8				12			15				19										29		31							38						44		46	47			50				54								62				66	67		69		71				75					80