Multi Multi Results — 14.12.2005

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 14.12.2005. 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. 3145 at 14:00 on 14.12.2005

2 5 6 18 19 20 28 33 41 43 46 48 54 55 58 61 63 75 76 80 76

Prize results not yet published.

After-draw report: rules and windows · 14.12.2005 14:00

Most matches: rule and number of earlier draws

Short-window change — previous 26 draws

The set used draws from 18.11.2005 to 13.12.2005.

Main-number matches: 8 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 880 rule-window settings: 20 rules derived from existing analyses and the available windows from 2 to 45 draws. Different settings could produce the same number set. 1 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
Short-window change Excess frequency in the latest 10 draws versus the full window. Short-window change — 26 preceding draws, excluding the evaluated draw	26	8 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. Period-half comparison — 20 preceding draws, excluding the evaluated draw	20	6 / 10
Most frequent numbers The 10 highest frequencies in the window. Most frequent 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 — 7 preceding draws, excluding the evaluated draw	7	5 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. Low and high balance — 7 preceding draws, excluding the evaluated draw	7	5 / 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 pairs Sum of squared frequencies of pairs containing a number. Frequent pairs — 10 preceding draws, excluding the evaluated draw	10	5 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. Frequent triplets — 10 preceding draws, excluding the evaluated draw	10	5 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. Two-draw rhythm — 12 preceding draws, excluding the evaluated draw	12	5 / 10
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. Even and odd balance — 5 preceding draws, excluding the evaluated draw	5	4 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. Number partners — 10 preceding draws, excluding the evaluated draw	10	4 / 10
Frequent decades Decade frequency divided by the number of values in that decade. Frequent decades — 10 preceding draws, excluding the evaluated draw	10	4 / 10
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. Adjacent numbers — 10 preceding draws, excluding the evaluated draw	10	4 / 10
Average gap Highest average completed gaps; fewer than two hits receive a separate value. Average gap — 14 preceding draws, excluding the evaluated draw	14	4 / 10
Least frequent numbers The 10 lowest frequencies in the window. Least frequent numbers — 26 preceding draws, excluding the evaluated draw	26	4 / 10
Number dispersion Starting with the most frequent number, choose each next number as far as possible from those selected. Number dispersion — 2 preceding draws, excluding the evaluated draw	2	3 / 10
Longest gaps The 10 longest current gaps. Longest gaps — 3 preceding draws, excluding the evaluated draw	3	3 / 10
Record gap Longest run of absence within the window. Record gap — 3 preceding draws, excluding the evaluated draw	3	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	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

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: 19.11.2005–13.12.2005.

Rule and selected numbers	Matches
Most frequent numbers 8 16 25 36 41 42 48 51 58 59	3 / 10
Least frequent numbers 4 5 7 17 27 28 39 44 46 70	3 / 10
Longest gaps 4 7 10 18 26 27 32 46 56 60	2 / 10
Previous-draw repeats 2 3 8 11 13 16 24 28 30 31	2 / 10
Number partners 2 8 16 31 48 49 51 58 59 77	3 / 10
Two-draw rhythm 8 11 16 21 25 30 33 43 57 58	3 / 10
Short-window change 2 6 20 43 48 53 55 61 72 77	7 / 10
Period-half comparison 8 11 20 22 29 48 53 55 75 77	4 / 10
Average gap 5 17 27 28 44 46 70 72 73 78	3 / 10
Record gap 4 11 12 27 28 30 39 44 75 78	2 / 10
Frequent pairs 8 16 25 36 42 48 51 58 59 77	2 / 10
Frequent triplets 8 16 25 36 42 48 51 58 59 77	2 / 10
Frequent decades 51 52 53 54 55 56 57 58 59 60	3 / 10
Frequent final digits 1 11 18 21 28 39 46 61 71 79	4 / 10
Even and odd balance 8 16 25 41 42 48 51 57 58 59	3 / 10
Low and high balance 3 8 16 25 36 42 48 51 58 59	2 / 10
Historical sum midpoint 37 38 39 40 41 42 43 44 45 46	3 / 10
Number dispersion 1 13 20 26 38 51 58 65 73 80	3 / 10
Adjacent numbers 2 8 15 16 35 36 37 41 42 74	2 / 10
First and last numbers 1 2 3 7 8 9 76 77 79 80	3 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 25.11.2005–14.12.2005.

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	50	11 / 20
Least frequent numbers	44	10 / 20
Longest gaps	43	15 / 20
Previous-draw repeats	53	10 / 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	10	20 × 5 · 38 × 5 · 59 × 5 · expected ≈ 2.4
5	11	66 × 6 · 26 × 5 · 47 × 5 +4 tied · expected ≈ 2.6
6	11	48 × 7 · 62 × 6 · 16 × 5 +8 tied · expected ≈ 2.6
18	11	16 × 5 · 20 × 5 · 28 × 5 +2 tied · expected ≈ 2.6
19	16	16 × 8 · 51 × 8 · 57 × 8 · expected ≈ 3.8
20	15	8 × 8 · 29 × 7 · 36 × 7 +1 tied · expected ≈ 3.6
28	11	55 × 7 · 16 × 6 · 71 × 6 · expected ≈ 2.6
33	13	29 × 7 · 3 × 6 · 8 × 6 +3 tied · expected ≈ 3.1
41	15	58 × 7 · 62 × 7 · 16 × 6 +6 tied · expected ≈ 3.6
43	11	59 × 7 · 16 × 6 · 25 × 5 +3 tied · expected ≈ 2.6
46	8	3 × 5 · 48 × 5 · 67 × 5 · expected ≈ 1.9
48	15	53 × 8 · 6 × 7 · 45 × 7 +3 tied · expected ≈ 3.6
54	15	55 × 8 · 3 × 7 · 16 × 6 +5 tied · expected ≈ 3.6
55	16	54 × 8 · 16 × 7 · 28 × 7 +4 tied · expected ≈ 3.8
58	17	31 × 9 · 16 × 8 · 45 × 8 · expected ≈ 4.1
61	17	66 × 9 · 31 × 8 · 8 × 7 +5 tied · expected ≈ 4.1
63	13	9 × 7 · 59 × 7 · 69 × 7 · expected ≈ 3.1
75	10	20 × 6 · 49 × 6 · 8 × 5 +3 tied · expected ≈ 2.4
76	11	66 × 6 · 35 × 5 · 40 × 5 +4 tied · expected ≈ 2.6
80	15	71 × 8 · 55 × 7 · 19 × 6 +7 tied · expected ≈ 3.6

Draw map for the day

Draw map Multi Multi from 14.12.2005 — 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
3145	14:00		2			5	6												18	19	20								28					33								41		43			46		48						54	55			58			61		63												75	76				80