A covering design C(v,k,t,m,=b) is a pair (V,B), where V is a set of v elements (called points) and B is a collection of b k-subsets of V (called blocks), such that every m-subset of V intersects in at least one member of B in at least t points.
When applied to lottery, in form of an abbreviated wheel:
  • v: total numbers in the design; amount of numbers you choose to play the wheel
  • k: size of a block or bet
  • t: minimum guarantee
  • m: amount of numbers that must be guessed correctly in the draw
  • b: number of blocks or bets or tickets
Wheel C(8,6,5,6,=4) describes the wheel with 8 chosen numbers designed for a Pick 6 lottery. The wheel guarantees at least one prize of 5 matches if 6 officially drawn numbers are within the group of 8 chosen numbers. Finally, the number of bets generated is 4, reduced from a total of 28.00 possible combinations of 8 taken 6 at a time. The coefficient of reduction is 07.00.

Wheel Summary
Abbreviated Wheel • Pick 6
8 Numbers
4 Tickets
5 if 6 Guarantee
Odds of guessing 6 Numbers
1 in 57,970.00
NumbersOccurrences
02
4
01  03  05  06  07
08
3
04
2

Select the Numbers Guessed: Total combinations: 28
Odds of guessing 6 Numbers: 1 in 57,970.00
Possible Matches

6543210
Hits
Odds
01300006 1 in 270,526.67
022000014 1 in 115,940.00
03100004 1 in 405,790.00
10300002 1 in 811,580.00
11200002 1 in 811,580.00
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Block NumberIndexes
Block 1
  • 01
  • 02
  • 03
  • 04
  • 05
  • 07
Block 2
  • 01
  • 02
  • 03
  • 06
  • 07
  • 08
Block 3
  • 01
  • 02
  • 04
  • 05
  • 06
  • 08
Block 4
  • 02
  • 03
  • 05
  • 06
  • 07
  • 08