Multi Multi Results — 31.12.2001

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 31.12.2001. 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. 1701 at 14:00 on 31.12.2001

3 5 10 14 15 19 20 24 28 29 34 43 46 60 62 67 69 70 78 79 3

Prize results not yet published.

After-draw report: rules and windows

Most matches: rule and number of earlier draws

Average gap — previous 6 draws

The set used draws from 25.12.2001 to 30.12.2001.

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 1260 rule-window settings: 20 rules derived from existing analyses and the available windows from 2 to 64 draws. Different settings could produce the same number set. 14 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. view source analysis	6	6 / 10
Least frequent numbers The 10 lowest frequencies in the window. view source analysis	24	6 / 10
Frequent final digits Frequency of the same final digit among the other numbers. view source analysis	42	6 / 10
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. view source analysis	2	5 / 10
Record gap Longest run of absence within the window. view source analysis	14	5 / 10
Frequent pairs Sum of squared frequencies of pairs containing a number. view source analysis	32	5 / 10
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. view source analysis	32	5 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. view source analysis	32	5 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. view source analysis	53	5 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. view source analysis	3	4 / 10
Frequent decades Decade frequency divided by the number of values in that decade. view source analysis	4	4 / 10
Most frequent numbers The 10 highest frequencies in the window. view source analysis	10	4 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. view source analysis	10	4 / 10
First and last numbers Frequency of being the smallest or largest number in a draw. view source analysis	15	4 / 10
Short-window change Excess frequency in the latest 10 draws versus the full window. view source analysis	53	4 / 10
Longest gaps The 10 longest current gaps. view source analysis	2	3 / 10
Number dispersion Starting with the most frequent number, choose each next number as far as possible from those selected. view source analysis	2	3 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. view source analysis	16	3 / 10
Historical sum midpoint The 10 numbers nearest the median historical draw sum divided by 20. view source analysis	3	2 / 10
Previous-draw repeats Numbers from the previous draw first; ties by number. view source analysis	2	1 / 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: 06.12.2001–30.12.2001.

Rule and selected numbers	Matches
Most frequent numbers 4 6 16 19 26 29 40 43 44 78	4 / 10
Least frequent numbers 3 12 18 20 24 25 46 57 60 62	6 / 10
Longest gaps 17 21 24 25 28 36 38 39 49 60	3 / 10
Previous-draw repeats 1 4 11 29 30 31 35 40 42 48	1 / 10
Number partners 4 16 29 31 40 42 51 65 66 78	2 / 10
Two-draw rhythm 6 20 26 29 44 55 67 70 72 74	4 / 10
Short-window change 3 11 29 30 41 50 54 66 68 70	3 / 10
Period-half comparison 11 40 41 42 54 55 66 68 70 77	1 / 10
Average gap 3 12 20 27 56 57 60 61 79 80	4 / 10
Record gap 11 17 20 23 24 35 56 57 60 68	3 / 10
Frequent pairs 4 16 19 40 43 44 59 71 72 78	3 / 10
Frequent triplets 4 6 16 19 40 44 59 71 72 78	2 / 10
Frequent decades 71 72 73 74 75 76 77 78 79 80	2 / 10
Frequent final digits 9 29 36 39 46 49 56 61 69 79	4 / 10
Even and odd balance 4 6 16 19 26 29 43 59 71 78	4 / 10
Low and high balance 4 6 16 19 26 43 44 59 71 78	3 / 10
Historical sum midpoint 37 38 39 40 41 42 43 44 45 46	2 / 10
Number dispersion 1 16 24 32 40 48 56 64 72 80	1 / 10
Adjacent numbers 7 8 21 41 42 43 69 70 71 72	3 / 10
First and last numbers 1 2 3 4 9 72 77 78 79 80	3 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 12.12.2001–31.12.2001.

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	47	12 / 20
Least frequent numbers	55	9 / 20
Longest gaps	49	9 / 20
Previous-draw repeats	39	15 / 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	9	2 × 5 · 5 × 5 · 67 × 5 +2 tied · expected ≈ 2.2
5	13	33 × 7 · 53 × 6 · 67 × 6 +1 tied · expected ≈ 3.1
10	10	5 × 5 · 33 × 5 · 43 × 5 · expected ≈ 2.4
14	12	4 × 6 · 33 × 6 · 39 × 6 +2 tied · expected ≈ 2.9
15	11	4 × 6 · 22 × 6 · 23 × 5 +3 tied · expected ≈ 2.6
19	16	40 × 8 · 41 × 8 · 78 × 8 · expected ≈ 3.8
20	8	16 × 6 · 4 × 5 · 33 × 5 +1 tied · expected ≈ 1.9
24	9	37 × 5 · 65 × 5 · 67 × 5 · expected ≈ 2.2
28	14	48 × 8 · 16 × 7 · 22 × 7 +1 tied · expected ≈ 3.4
29	14	43 × 7 · 16 × 6 · 63 × 6 +1 tied · expected ≈ 3.4
34	13	25 × 8 · 69 × 7 · 4 × 6 +4 tied · expected ≈ 3.1
43	17	4 × 8 · 13 × 7 · 19 × 7 +2 tied · expected ≈ 4.1
46	10	22 × 6 · 33 × 6 · 76 × 5 · expected ≈ 2.4
60	6	69 × 6 · 40 × 4 · 47 × 4 · expected ≈ 1.4
62	11	17 × 6 · 28 × 6 · 53 × 6 · expected ≈ 2.6
67	13	6 × 7 · 45 × 7 · 78 × 7 · expected ≈ 3.1
69	17	4 × 8 · 33 × 7 · 34 × 7 +2 tied · expected ≈ 4.1
70	12	42 × 8 · 22 × 6 · 72 × 6 · expected ≈ 2.9
78	17	19 × 8 · 59 × 8 · 22 × 7 +1 tied · expected ≈ 4.1
79	12	4 × 7 · 40 × 6 · 1 × 5 +5 tied · expected ≈ 2.9

Draw map for the day

Draw map Multi Multi from 31.12.2001 — 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
1701	14:00			3		5					10				14	15				19	20				24				28	29					34									43			46														60		62					67		69	70								78	79