Multi Multi Results — 21.12.2005

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 21.12.2005. 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. 3152 at 14:00 on 21.12.2005

1 4 7 10 12 22 23 24 29 34 38 45 49 51 52 58 63 70 74 78 24

Prize results not yet published.

After-draw report: rules and windows · 21.12.2005 14:00

Most matches: rule and number of earlier draws

Least frequent numbers — previous 9 draws

The set used draws from 12.12.2005 to 20.12.2005.

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 1020 rule-window settings: 20 rules derived from existing analyses and the available windows from 2 to 52 draws. Different settings could produce the same number set. 5 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
Least frequent numbers The 10 lowest frequencies in the window. Least frequent numbers — 9 preceding draws, excluding the evaluated draw	9	7 / 10
Longest gaps The 10 longest current gaps. Longest gaps — 2 preceding draws, excluding the evaluated draw	2	5 / 10
Record gap Longest run of absence within the window. Record gap — 2 preceding draws, excluding the evaluated draw	2	5 / 10
Number dispersion Starting with the most frequent number, choose each next number as far as possible from those selected. Number dispersion — 3 preceding draws, excluding the evaluated draw	3	5 / 10
Average gap Highest average completed gaps; fewer than two hits receive a separate value. Average gap — 7 preceding draws, excluding the evaluated draw	7	5 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. Two-draw rhythm — 27 preceding draws, excluding the evaluated draw	27	5 / 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	4 / 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
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. Adjacent numbers — 2 preceding draws, excluding the evaluated draw	2	4 / 10
Frequent final digits Frequency of the same final digit among the other numbers. Frequent final digits — 4 preceding draws, excluding the evaluated draw	4	4 / 10
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. Even and odd balance — 11 preceding draws, excluding the evaluated draw	11	4 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. Period-half comparison — 18 preceding draws, excluding the evaluated draw	18	4 / 10
First and last numbers Frequency of being the smallest or largest number in a draw. First and last numbers — 2 preceding draws, excluding the evaluated draw	2	3 / 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
Most frequent numbers The 10 highest frequencies in the window. Most frequent numbers — 5 preceding draws, excluding the evaluated draw	5	3 / 10
Frequent pairs Sum of squared frequencies of pairs containing a number. Frequent pairs — 5 preceding draws, excluding the evaluated draw	5	3 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. Frequent triplets — 5 preceding draws, excluding the evaluated draw	5	3 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. Low and high balance — 10 preceding draws, excluding the evaluated draw	10	3 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. Number partners — 26 preceding draws, excluding the evaluated draw	26	2 / 10
Previous-draw repeats Numbers from the previous draw first; ties by number. Previous-draw repeats — 2 preceding draws, excluding the evaluated draw	2	0 / 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: 26.11.2005–20.12.2005.

Rule and selected numbers	Matches
Most frequent numbers 6 8 20 48 51 58 59 61 65 77	2 / 10
Least frequent numbers 4 5 7 12 17 27 28 30 39 78	4 / 10
Longest gaps 1 3 7 9 22 27 35 36 38 78	5 / 10
Previous-draw repeats 6 17 19 21 26 31 32 39 42 43	0 / 10
Number partners 6 8 19 20 31 48 58 59 65 77	1 / 10
Two-draw rhythm 6 8 20 24 51 52 58 60 77 79	4 / 10
Short-window change 13 19 24 39 44 55 67 70 75 79	2 / 10
Period-half comparison 15 19 34 39 43 44 55 58 70 75	3 / 10
Average gap 4 5 12 14 17 27 30 32 47 56	2 / 10
Record gap 4 7 9 12 22 27 30 39 44 56	4 / 10
Frequent pairs 6 19 20 48 51 58 59 61 65 77	2 / 10
Frequent triplets 6 19 20 48 51 58 59 61 65 77	2 / 10
Frequent decades 51 52 53 54 55 56 57 58 59 60	3 / 10
Frequent final digits 1 5 9 11 15 21 35 39 45 71	2 / 10
Even and odd balance 6 8 20 48 51 58 59 61 65 77	2 / 10
Low and high balance 6 8 19 20 25 48 51 58 59 77	2 / 10
Historical sum midpoint 37 38 39 40 41 42 43 44 45 46	2 / 10
Number dispersion 1 10 20 35 42 50 58 65 72 80	3 / 10
Adjacent numbers 19 20 61 62 64 65 68 69 73 74	1 / 10
First and last numbers 1 2 3 5 6 8 76 77 79 80	1 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 02.12.2005–21.12.2005.

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	48	12 / 20
Least frequent numbers	39	12 / 20
Longest gaps	46	15 / 20
Previous-draw repeats	51	11 / 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)
1	7	55 × 5 · 22 × 4 · 54 × 4 +1 tied · expected ≈ 1.7
4	9	19 × 5 · 30 × 5 · 37 × 5 +2 tied · expected ≈ 2.2
7	5	59 × 4 · 9 × 3 · 10 × 3 +2 tied · expected ≈ 1.2
10	11	16 × 6 · 31 × 6 · 61 × 6 · expected ≈ 2.6
12	10	35 × 6 · 74 × 6 · 16 × 5 +2 tied · expected ≈ 2.4
22	11	16 × 6 · 53 × 6 · 65 × 6 +1 tied · expected ≈ 2.6
23	12	15 × 7 · 16 × 7 · 52 × 6 +1 tied · expected ≈ 2.9
24	12	49 × 7 · 37 × 6 · 42 × 6 +2 tied · expected ≈ 2.9
29	17	9 × 8 · 37 × 8 · 61 × 8 · expected ≈ 4.1
34	12	16 × 6 · 77 × 6 · 6 × 5 +15 tied · expected ≈ 2.9
38	10	55 × 5 · 74 × 5 · 2 × 4 +12 tied · expected ≈ 2.4
45	11	58 × 8 · 20 × 6 · 48 × 6 +1 tied · expected ≈ 2.6
49	17	8 × 8 · 59 × 8 · 24 × 7 +4 tied · expected ≈ 4.1
51	14	58 × 8 · 16 × 7 · 19 × 7 +2 tied · expected ≈ 3.4
52	12	23 × 6 · 41 × 6 · 80 × 6 · expected ≈ 2.9
58	19	31 × 10 · 41 × 8 · 42 × 8 +3 tied · expected ≈ 4.6
63	14	59 × 8 · 65 × 8 · 9 × 7 +2 tied · expected ≈ 3.4
70	10	16 × 5 · 18 × 5 · 47 × 5 +3 tied · expected ≈ 2.4
74	15	16 × 8 · 58 × 7 · 12 × 6 +7 tied · expected ≈ 3.6
78	8	61 × 5 · 29 × 4 · 36 × 4 +2 tied · expected ≈ 1.9

Draw map for the day

Draw map Multi Multi from 21.12.2005 — 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
3152	14:00	1			4			7			10		12										22	23	24					29					34				38							45				49		51	52						58					63							70				74				78