Multi Multi Results — 21.12.2001

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 21.12.2001. 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. 1691 at 14:00 on 21.12.2001

9 10 19 21 22 31 32 37 40 41 42 43 49 50 54 61 66 70 77 78 9

Prize results not yet published.

After-draw report: rules and windows

Most matches: rule and number of earlier draws

Even and odd balance — previous 5 draws

The set used draws from 16.12.2001 to 20.12.2001.

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 1060 rule-window settings: 20 rules derived from existing analyses and the available windows from 2 to 54 draws. Different settings could produce the same number set. 8 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
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. view source analysis	5	6 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. view source analysis	5	6 / 10
Frequent pairs Sum of squared frequencies of pairs containing a number. view source analysis	6	6 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. view source analysis	6	6 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. view source analysis	11	6 / 10
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. view source analysis	31	6 / 10
Historical sum midpoint The 10 numbers nearest the median historical draw sum divided by 20. view source analysis	2	5 / 10
Most frequent numbers The 10 highest frequencies in the window. view source analysis	3	5 / 10
Frequent decades Decade frequency divided by the number of values in that decade. view source analysis	3	5 / 10
Short-window change Excess frequency in the latest 10 draws versus the full window. view source analysis	11	5 / 10
Least frequent numbers The 10 lowest frequencies in the window. view source analysis	19	5 / 10
Number dispersion Starting with the most frequent number, choose each next number as far as possible from those selected. view source analysis	2	4 / 10
Average gap Highest average completed gaps; fewer than two hits receive a separate value. view source analysis	10	4 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. view source analysis	11	4 / 10
Frequent final digits Frequency of the same final digit among the other numbers. view source analysis	15	4 / 10
Record gap Longest run of absence within the window. view source analysis	19	4 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. view source analysis	49	4 / 10
Longest gaps The 10 longest current gaps. view source analysis	6	3 / 10
First and last numbers Frequency of being the smallest or largest number in a draw. view source analysis	11	3 / 10
Previous-draw repeats Numbers from the previous draw first; ties by number. view source analysis	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: 26.11.2001–20.12.2001.

Rule and selected numbers	Matches
Most frequent numbers 2 4 16 21 38 39 43 45 53 72	2 / 10
Least frequent numbers 3 7 11 12 18 30 50 54 61 68	3 / 10
Longest gaps 3 10 20 24 27 35 37 50 57 68	3 / 10
Previous-draw repeats 1 7 8 11 12 16 18 19 21 25	2 / 10
Number partners 1 4 16 21 34 38 39 43 72 78	3 / 10
Two-draw rhythm 2 4 6 17 31 40 43 46 52 71	3 / 10
Short-window change 14 16 19 25 32 42 43 48 53 71	4 / 10
Period-half comparison 16 19 25 26 36 43 47 48 59 71	2 / 10
Average gap 7 11 12 18 30 32 54 55 60 61	3 / 10
Record gap 11 18 24 30 41 46 47 54 57 61	3 / 10
Frequent pairs 2 4 21 38 39 43 45 53 72 74	2 / 10
Frequent triplets 2 4 21 38 39 43 45 53 72 74	2 / 10
Frequent decades 31 32 33 34 35 36 37 38 39 40	4 / 10
Frequent final digits 3 9 12 14 24 29 32 34 54 64	3 / 10
Even and odd balance 2 4 16 21 38 39 43 45 53 72	2 / 10
Low and high balance 2 4 16 38 39 43 45 53 72 74	1 / 10
Historical sum midpoint 35 36 37 38 39 40 41 42 43 44	5 / 10
Number dispersion 4 13 23 28 33 42 51 61 71 80	2 / 10
Adjacent numbers 2 14 21 22 34 38 39 40 41 72	4 / 10
First and last numbers 1 2 3 4 5 71 77 78 79 80	2 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 02.12.2001–21.12.2001.

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	44	13 / 20
Least frequent numbers	54	10 / 20
Longest gaps	51	9 / 20
Previous-draw repeats	41	14 / 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)
9	9	4 × 6 · 16 × 5 · 13 × 4 +3 tied · expected ≈ 2.2
10	8	5 × 4 · 17 × 4 · 21 × 4 +3 tied · expected ≈ 1.9
19	15	4 × 7 · 5 × 6 · 14 × 6 +9 tied · expected ≈ 3.6
21	14	8 × 7 · 33 × 7 · 53 × 7 +1 tied · expected ≈ 3.4
22	16	2 × 7 · 45 × 7 · 46 × 7 +1 tied · expected ≈ 3.8
31	12	4 × 6 · 8 × 6 · 80 × 6 · expected ≈ 2.9
32	8	14 × 6 · 5 × 4 · 22 × 4 +6 tied · expected ≈ 1.9
37	15	4 × 8 · 1 × 6 · 2 × 6 +8 tied · expected ≈ 3.6
40	14	41 × 7 · 45 × 7 · 19 × 6 +2 tied · expected ≈ 3.4
41	16	40 × 7 · 69 × 7 · 13 × 6 +8 tied · expected ≈ 3.8
42	14	14 × 6 · 19 × 6 · 39 × 6 +4 tied · expected ≈ 3.4
43	15	4 × 8 · 29 × 7 · 1 × 6 +10 tied · expected ≈ 3.6
49	12	22 × 7 · 42 × 6 · 6 × 5 +3 tied · expected ≈ 2.9
50	7	13 × 4 · 35 × 4 · 41 × 4 +3 tied · expected ≈ 1.7
54	11	41 × 6 · 69 × 6 · 16 × 5 +3 tied · expected ≈ 2.6
61	11	14 × 7 · 2 × 5 · 41 × 5 +2 tied · expected ≈ 2.6
66	15	14 × 8 · 15 × 7 · 4 × 6 +8 tied · expected ≈ 3.6
70	9	39 × 5 · 42 × 5 · 2 × 4 +11 tied · expected ≈ 2.2
77	14	2 × 7 · 69 × 7 · 4 × 6 +5 tied · expected ≈ 3.4
78	14	1 × 6 · 19 × 6 · 59 × 6 +1 tied · expected ≈ 3.4

Draw map for the day

Draw map Multi Multi from 21.12.2001 — 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
1691	14:00									9	10									19		21	22									31	32					37			40	41	42	43						49	50				54							61					66				70							77	78