We are going to use a 6/49 lotto game (like Super Lotto) and Abbreviated Wheel A-6-8-4-4-7 to illustrate how the minimum win guarantee of an Abbreviated Wheel is satisfied.
Abbreviated Wheel A-6-8-4-4-7 wheels 8 numbers in 7 combinations for a 6-digit lotto game.
Minimun Win Guarantee: Using Abbreviated Wheel A-6-8-4-4-7 - If 4 out of the 6 winning numbers fall into the 8 numbers wheeled, you are guaranteed to have at least one combination with 4 winning numbers.
For example, 05, 08, 12, 19, 22, 32, 41, 48 are the numbers wheeled. The following 7 numbers are generated using our Abbreviated Wheel:
- 05-08-12-19-22-41
- 05-08-12-32-41-48
- 05-08-19-22-32-48
- 05-12-19-22-32-48
- 05-19-22-32-41-48
- 08-12-19-22-32-41
- 08-12-19-22-41-48
If you play these 7 combinations and if any 4 of the 6 winning numbers fall into the 8 numbers wheeled: 05, 08, 12, 19, 22, 32, 41, 48, you are guaranteed to have at least one combination with 4 winning numbers.
To prove this, let's use a Full Wheel Generator to create all the possible 4-digit combinations the 8 numbers 05, 08, 12, 19, 22, 32, 41, 48 could generate. There are a total of 70 such 4-digit combinations. If the 6-digit winning numbers consisted of any one of these 4-digit combinations plus any other 2 numbers, you are guaranteed to have at least one of the above 7 combinations with 4 winning numbers.
You could always win more than the minimum win guarantee. For example, you could win jackpot if all 6 of the winning numbers are among the 8 numbers wheeled. But it is not guaranteed.
The following table shows that:
- All the 70 4-digit combinations generated by 05, 08, 12, 19, 22, 32, 41, 48
- One or more of our 7 combinations have at least 4 numbers matched accordingly
# |
4-digit combinations |
which combinations with 4 numbers matched |
1 |
05-08-12-19 |
(A) 05-08-12-19-22-41
|
2 |
05-08-12-22 |
(A) 05-08-12-19-22-41
|
3 |
05-08-12-32 |
(B) 05-08-12-32-41-48
|
4 |
05-08-12-41 |
(A) 05-08-12-19-22-41 (B) 05-08-12-32-41-48
|
5 |
05-08-12-48 |
(B) 05-08-12-32-41-48
|
6 |
05-08-19-22 |
(A) 05-08-12-19-22-41 (C) 05-08-19-22-32-48
|
7 |
05-08-19-32 |
(C) 05-08-19-22-32-48
|
8 |
05-08-19-41 |
(A) 05-08-12-19-22-41
|
9 |
05-08-19-48 |
(C) 05-08-19-22-32-48
|
10 |
05-08-22-32 |
(C) 05-08-19-22-32-48
|
11 |
05-08-22-41 |
(A) 05-08-12-19-22-41
|
12 |
05-08-22-48 |
(C) 05-08-19-22-32-48
|
13 |
05-08-32-41 |
(B) 05-08-12-32-41-48
|
14 |
05-08-32-48 |
(B) 05-08-12-32-41-48 (C) 05-08-19-22-32-48
|
15 |
05-08-41-48 |
(B) 05-08-12-32-41-48
|
16 |
05-12-19-22 |
(A) 05-08-12-19-22-41 (D) 05-12-19-22-32-48
|
17 |
05-12-19-32 |
(D) 05-12-19-22-32-48
|
18 |
05-12-19-41 |
(A) 05-08-12-19-22-41
|
19 |
05-12-19-48 |
(D) 05-12-19-22-32-48
|
20 |
05-12-22-32 |
(D) 05-12-19-22-32-48
|
21 |
05-12-22-41 |
(A) 05-08-12-19-22-41
|
22 |
05-12-22-48 |
(D) 05-12-19-22-32-48
|
23 |
05-12-32-41 |
(B) 05-08-12-32-41-48
|
24 |
05-12-32-48 |
(B) 05-08-12-32-41-48 (D) 05-12-19-22-32-48
|
25 |
05-12-41-48 |
(B) 05-08-12-32-41-48
|
26 |
05-19-22-32 |
(C) 05-08-19-22-32-48 (D) 05-12-19-22-32-48 (E) 05-19-22-32-41-48
|
27 |
05-19-22-41 |
(A) 05-08-12-19-22-41 (E) 05-19-22-32-41-48
|
28 |
05-19-22-48 |
(C) 05-08-19-22-32-48 (D) 05-12-19-22-32-48 (E) 05-19-22-32-41-48
|
29 |
05-19-32-41 |
(E) 05-19-22-32-41-48
|
30 |
05-19-32-48 |
(C) 05-08-19-22-32-48 (D) 05-12-19-22-32-48 (E) 05-19-22-32-41-48
|
31 |
05-19-41-48 |
(E) 05-19-22-32-41-48
|
32 |
05-22-32-41 |
(E) 05-19-22-32-41-48
|
33 |
05-22-32-48 |
(C) 05-08-19-22-32-48 (D) 05-12-19-22-32-48 (E) 05-19-22-32-41-48
|
34 |
05-22-41-48 |
(E) 05-19-22-32-41-48
|
35 |
05-32-41-48 |
(B) 05-08-12-32-41-48 (E) 05-19-22-32-41-48
|
36 |
08-12-19-22 |
(A) 05-08-12-19-22-41 (F) 08-12-19-22-32-41 (G) 08-12-19-22-41-48
|
37 |
08-12-19-32 |
(F) 08-12-19-22-32-41
|
38 |
08-12-19-41 |
(A) 05-08-12-19-22-41 (F) 08-12-19-22-32-41 (G) 08-12-19-22-41-48
|
39 |
08-12-19-48 |
(G) 08-12-19-22-41-48
|
40 |
08-12-22-32 |
(F) 08-12-19-22-32-41
|
41 |
08-12-22-41 |
(A) 05-08-12-19-22-41 (F) 08-12-19-22-32-41 (G) 08-12-19-22-41-48
|
42 |
08-12-22-48 |
(G) 08-12-19-22-41-48
|
43 |
08-12-32-41 |
(B) 05-08-12-32-41-48 (F) 08-12-19-22-32-41
|
44 |
08-12-32-48 |
(B) 05-08-12-32-41-48
|
45 |
08-12-41-48 |
(B) 05-08-12-32-41-48 (G) 08-12-19-22-41-48
|
46 |
08-19-22-32 |
(C) 05-08-19-22-32-48 (F) 08-12-19-22-32-41
|
47 |
08-19-22-41 |
(A) 05-08-12-19-22-41 (F) 08-12-19-22-32-41 (G) 08-12-19-22-41-48
|
48 |
08-19-22-48 |
(C) 05-08-19-22-32-48 (G) 08-12-19-22-41-48
|
49 |
08-19-32-41 |
(F) 08-12-19-22-32-41
|
50 |
08-19-32-48 |
(C) 05-08-19-22-32-48
|
51 |
08-19-41-48 |
(G) 08-12-19-22-41-48
|
52 |
08-22-32-41 |
(F) 08-12-19-22-32-41
|
53 |
08-22-32-48 |
(C) 05-08-19-22-32-48
|
54 |
08-22-41-48 |
(G) 08-12-19-22-41-48
|
55 |
08-32-41-48 |
(B) 05-08-12-32-41-48
|
56 |
12-19-22-32 |
(D) 05-12-19-22-32-48 (F) 08-12-19-22-32-41
|
57 |
12-19-22-41 |
(A) 05-08-12-19-22-41 (F) 08-12-19-22-32-41 (G) 08-12-19-22-41-48
|
58 |
12-19-22-48 |
(D) 05-12-19-22-32-48 (G) 08-12-19-22-41-48
|
59 |
12-19-32-41 |
(F) 08-12-19-22-32-41
|
60 |
12-19-32-48 |
(D) 05-12-19-22-32-48
|
61 |
12-19-41-48 |
(G) 08-12-19-22-41-48
|
62 |
12-22-32-41 |
(F) 08-12-19-22-32-41
|
63 |
12-22-32-48 |
(D) 05-12-19-22-32-48
|
64 |
12-22-41-48 |
(G) 08-12-19-22-41-48
|
65 |
12-32-41-48 |
(B) 05-08-12-32-41-48
|
66 |
19-22-32-41 |
(E) 05-19-22-32-41-48 (F) 08-12-19-22-32-41
|
67 |
19-22-32-48 |
(C) 05-08-19-22-32-48 (D) 05-12-19-22-32-48 (E) 05-19-22-32-41-48
|
68 |
19-22-41-48 |
(E) 05-19-22-32-41-48 (G) 08-12-19-22-41-48
|
69 |
19-32-41-48 |
(E) 05-19-22-32-41-48
|
70 |
22-32-41-48 |
(E) 05-19-22-32-41-48
|
|
As you can see, at least one of the 7 combinations matches all the 4 numbers of the 4-digit combination. Some of them have 2 or 3 of the 7 combinations with 4 numbers matched.
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