Keno (France) Wheeling System

Pick more numbers than a single line holds, and this builds the smallest set of lines that guarantees a minimum match — provided enough of your numbers are drawn. The guarantee is not asserted; every possible outcome is enumerated and the worst case is reported below.

What this does and does not do. It does not improve your chance of winning. Jackpot probability is exactly proportional to how many distinct lines you hold — wheeled or picked at random, 70 lines is 70 lines. What a covering design adds is a floor: with random lines, five of your numbers can be drawn and still land scattered so that no single line holds four. A wheel makes that impossible by construction.

Wheeling 13 numbers

361119202427283133484954

Lines to play70
Full wheel would need286 lines — this is 76% fewer
Verified guarantee if all 10 drawn numbers are among your 13, at least one line holds 9 of 10

That figure comes from enumerating all 286 ways the 10 drawn numbers could fall among your 13, and taking the worst one. You asked for 8; the cover that came out is stronger.

Your 70 lines

#Numbers
1 361119202427283133
2 361119202427484954
3 361119283133484954
4 3202427283133484954
5 6111920242728314849
6 361119202428334854
7 361119202731334954
8 6112427283133484954
9 361920242728314854
10 3111920242728334849
11 361120242831334954
12 361924273133484954
13 11192027283133484954
14 361119202431334849
15 361119242728314954
16 361120272831334854
17 6192024272833484954
18 3111920242731334854
19 361920272831334849
20 3111920242831484954
21 361119242728334954
22 6112024273133484954
23 361119202728484954
24 361119242728313348
25 6111920242831334954
26 361120242728314849
27 3192024272831334954
28 361120242728334954
29 361124272833484954
30 6111924272831334854
31 3111924273133484954
32 361920242831484954
33 361119202733484954
34 361920242831334854
35 361119202731484954
36 6111920242728313354
37 6111920242831334849
38 361119242728313349
39 3192427283133484954
40 361120242728314854
41 361920242731334849
42 3111920272831334954
43 361120242833484954
44 361920272831334954
45 3112024272831334849
46 6111920242728334849
47 11192024272833484954
48 361119202427314954
49 361119243133484954
50 361920243133484954
51 3111924272831334854
52 361119202428334849
53 361119202831334854
54 361120272831484954
55 361920242728334854
56 362024272831334954
57 361119202728314849
58 361119202731334849
59 6192024272831334854
60 361119202427284849
61 361120242731334854
62 361120283133484954
63 3111920242728314954
64 3111920242731334954
65 6111920242731484954
66 6111924272831484954
67 361119202728313349
68 361119202833484954
69 361119242831334849
70 361120242831334854
The condition is the catch. The guarantee holds only if all 10 drawn numbers happen to be among the 13 you chose, and nothing makes that likelier — choosing 13 of 56 is still a long shot. A wheel organises the lines you buy; it does not change what the draw does. Playing 70 lines costs 70 times one line, and the odds rise only in proportion to that.