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

1356142224262837424951

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 1356142224262837
2 1356142224424951
3 1356262837424951
4 1142224262837424951
5 35614222426284249
6 1356142226374251
7 1356142428374951
8 352224262837424951
9 13614222426284251
10 15614222426374249
11 13514222628374951
12 13622242837424951
13 561424262837424951
14 1356142228374249
15 1356222426284951
16 13514242628374251
17 361422242637424951
18 15614222428374251
19 13614242628374249
20 15614222628424951
21 1356222426374951
22 351422242837424951
23 1356142426424951
24 1356222426283742
25 35614222628374951
26 13514222426284249
27 161422242628374951
28 13514222426374951
29 13522242637424951
30 35622242628374251
31 15622242837424951
32 13614222628424951
33 1356142437424951
34 13614222628374251
35 1356142428424951
36 35614222426283751
37 35614222628374249
38 1356222426283749
39 162224262837424951
40 13514222426284251
41 13614222428374249
42 15614242628374951
43 13514222637424951
44 13614242628374951
45 151422242628374249
46 35614222426374249
47 561422242637424951
48 1356142224284951
49 1356222837424951
50 13614222837424951
51 15622242628374251
52 1356142226374249
53 1356142628374251
54 13514242628424951
55 13614222426374251
56 131422242628374951
57 1356142426284249
58 1356142428374249
59 361422242628374251
60 1356142224264249
61 13514222428374251
62 13514262837424951
63 15614222426284951
64 15614222428374951
65 35614222428424951
66 35622242628424951
67 1356142426283749
68 1356142637424951
69 1356222628374249
70 13514222628374251
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.