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

12152025323536384446495255

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 12152025323536384446
2 12152025323536495255
3 12152025384446495255
4 12323536384446495255
5 15202532353638444952
6 12152025323538464955
7 12152025323644465255
8 15203536384446495255
9 12152532353638444955
10 12202532353638464952
11 12152032353844465255
12 12152535364446495255
13 20253236384446495255
14 12152025323544464952
15 12152025353638445255
16 12152032363844464955
17 15253235363846495255
18 12202532353644464955
19 12152532363844464952
20 12202532353844495255
21 12152025353638465255
22 15203235364446495255
23 12152025323638495255
24 12152025353638444649
25 15202532353844465255
26 12152032353638444952
27 12253235363844465255
28 12152032353638465255
29 12152035363846495255
30 15202535363844464955
31 12202535364446495255
32 12152532353844495255
33 12152025323646495255
34 12152532353844464955
35 12152025323644495255
36 15202532353638444655
37 15202532353844464952
38 12152025353638444652
39 12253536384446495255
40 12152032353638444955
41 12152532353644464952
42 12202532363844465255
43 12152032353846495255
44 12152532363844465255
45 12203235363844464952
46 15202532353638464952
47 20253235363846495255
48 12152025323536445255
49 12152025354446495255
50 12152532354446495255
51 12202535363844464955
52 12152025323538464952
53 12152025323844464955
54 12152032363844495255
55 12152532353638464955
56 12153235363844465255
57 12152025323638444952
58 12152025323644464952
59 15253235363844464955
60 12152025323536384952
61 12152032353644464955
62 12152032384446495255
63 12202532353638445255
64 12202532353644465255
65 15202532353644495255
66 15202535363844495255
67 12152025323638444652
68 12152025323846495255
69 12152025353844464952
70 12152032353844464955
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.