Multi Multi Results — 31.05.2007

Lotto Mini Plus Multi Euro Kaskada

Multi Multi draw from 31.05.2007. 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. 3678 at 14:00 on 31.05.2007

3 13 16 17 22 24 25 28 34 36 38 39 46 48 59 62 69 70 73 77 73

Prize results not yet published.

After-draw report: rules and windows

Most matches: rule and number of earlier draws

Frequent final digits — previous 15 draws

The set used draws from 16.05.2007 to 30.05.2007.

Main-number matches: 5 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 2980 rule-window settings: 20 rules derived from existing analyses and the available windows from 2 to 150 draws. Different settings could produce the same number set. 29 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
Frequent final digits Frequency of the same final digit among the other numbers. view source analysis	15	5 / 10
Two-draw rhythm Frequency of a hit after the same two-draw pattern, with smoothing. view source analysis	30	5 / 10
Adjacent numbers Frequency of appearing next to a consecutive number in one draw. view source analysis	94	5 / 10
Frequent decades Decade frequency divided by the number of values in that decade. view source analysis	2	4 / 10
Least frequent numbers The 10 lowest frequencies in the window. view source analysis	6	4 / 10
Longest gaps The 10 longest current gaps. view source analysis	6	4 / 10
Record gap Longest run of absence within the window. view source analysis	6	4 / 10
Period-half comparison Frequency difference between the newer and older halves of the window. view source analysis	9	4 / 10
Previous-draw repeats Numbers from the previous draw first; ties by number. view source analysis	2	3 / 10
Historical sum midpoint The 10 numbers nearest the median historical draw sum divided by 20. 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
Frequent pairs Sum of squared frequencies of pairs containing a number. view source analysis	4	3 / 10
Frequent triplets Sum of squared frequencies of triplets containing a number. view source analysis	4	3 / 10
Number partners Weighted co-occurrence with numbers in the previous draw. view source analysis	5	3 / 10
Even and odd balance Half the selection from the most frequent even numbers; the rest from odd numbers. view source analysis	6	3 / 10
Average gap Highest average completed gaps; fewer than two hits receive a separate value. view source analysis	7	3 / 10
First and last numbers Frequency of being the smallest or largest number in a draw. view source analysis	15	3 / 10
Short-window change Excess frequency in the latest 10 draws versus the full window. view source analysis	17	3 / 10
Most frequent numbers The 10 highest frequencies in the window. view source analysis	79	3 / 10
Low and high balance Half the selection from the lower pool; the rest from the upper pool. 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: 06.05.2007–30.05.2007.

Rule and selected numbers	Matches
Most frequent numbers 5 31 51 53 56 58 64 74 77 78	1 / 10
Least frequent numbers 3 4 6 7 9 10 11 34 43 45	2 / 10
Longest gaps 4 12 24 44 45 49 60 61 62 79	2 / 10
Previous-draw repeats 5 19 21 25 26 27 32 34 37 38	3 / 10
Number partners 19 38 56 57 58 64 65 68 74 78	1 / 10
Two-draw rhythm 14 18 20 25 40 48 51 55 58 70	3 / 10
Short-window change 10 20 31 32 36 40 67 68 70 72	2 / 10
Period-half comparison 13 27 34 36 37 40 42 64 68 74	3 / 10
Average gap 3 6 26 27 30 37 43 50 52 67	1 / 10
Record gap 3 6 24 34 43 45 50 52 66 67	3 / 10
Frequent pairs 29 31 51 53 56 58 64 74 77 78	1 / 10
Frequent triplets 18 31 51 53 56 58 64 74 77 78	1 / 10
Frequent decades 71 72 73 74 75 76 77 78 79 80	2 / 10
Frequent final digits 8 11 18 28 38 48 58 61 68 78	3 / 10
Even and odd balance 5 31 51 53 56 58 64 74 77 78	1 / 10
Low and high balance 5 16 18 19 31 51 53 58 74 77	2 / 10
Historical sum midpoint 38 39 40 41 42 43 44 45 46 47	3 / 10
Number dispersion 1 8 16 23 31 44 56 68 74 80	1 / 10
Adjacent numbers 16 17 18 57 64 65 71 77 78 79	3 / 10
First and last numbers 1 2 3 5 8 12 77 78 79 80	2 / 10

Rolling evaluation of the same rules

Rolling evaluation period: 12.05.2007–31.05.2007.

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	54	10 / 20
Least frequent numbers	61	10 / 20
Longest gaps	45	13 / 20
Previous-draw repeats	48	13 / 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	8	40 × 5 · 74 × 5 · 80 × 5 · expected ≈ 1.9
13	13	2 × 8 · 64 × 7 · 72 × 7 · expected ≈ 3.1
16	12	2 × 7 · 53 × 7 · 46 × 6 +1 tied · expected ≈ 2.9
17	15	2 × 8 · 72 × 8 · 18 × 7 +2 tied · expected ≈ 3.6
22	11	72 × 7 · 23 × 6 · 31 × 6 +1 tied · expected ≈ 2.6
24	11	2 × 5 · 28 × 5 · 41 × 5 +6 tied · expected ≈ 2.6
25	12	18 × 6 · 19 × 6 · 34 × 6 · expected ≈ 2.9
28	15	2 × 8 · 17 × 7 · 31 × 7 +1 tied · expected ≈ 3.6
34	10	25 × 6 · 36 × 5 · 37 × 5 +3 tied · expected ≈ 2.4
36	11	31 × 6 · 2 × 5 · 13 × 5 +8 tied · expected ≈ 2.6
38	13	68 × 7 · 77 × 7 · 80 × 7 · expected ≈ 3.1
39	15	72 × 8 · 14 × 7 · 29 × 7 +2 tied · expected ≈ 3.6
46	12	19 × 7 · 16 × 6 · 72 × 6 · expected ≈ 2.9
48	15	19 × 7 · 42 × 7 · 51 × 7 +2 tied · expected ≈ 3.6
59	13	19 × 7 · 57 × 7 · 5 × 6 +4 tied · expected ≈ 3.1
62	11	53 × 7 · 5 × 5 · 23 × 5 +6 tied · expected ≈ 2.6
69	14	72 × 7 · 41 × 6 · 64 × 6 · expected ≈ 3.4
70	10	31 × 6 · 5 × 5 · 51 × 5 +3 tied · expected ≈ 2.4
73	11	2 × 6 · 31 × 6 · 10 × 5 +6 tied · expected ≈ 2.6
77	16	29 × 7 · 31 × 7 · 38 × 7 +2 tied · expected ≈ 3.8

Draw map for the day

Draw map Multi Multi from 31.05.2007 — 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
3678	14:00			3										13			16	17					22		24	25			28						34		36		38	39							46		48											59			62							69	70			73				77