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(10,6,3,3,=10) describes the wheel with 10 chosen numbers designed for a Pick 6 lottery. The wheel guarantees at least one prize of 3 matches if 3 officially drawn numbers are within the group of 10 chosen numbers. Finally, the number of bets generated is 10, reduced from a total of 210.00 possible combinations of 10 taken 6 at a time. The coefficient of reduction is 21.00.

Wheel Summary
Abbreviated Wheel • Pick 6
10 Numbers
10 Tickets
3 if 3 Guarantee
Odds of guessing 3 Numbers
1 in 05.88
Balanced Wheel
NumbersOccurrences
01  02  03  04  05
06  07  08  09  10
6

Select the Numbers Guessed: Total combinations: 120
Odds of guessing 3 Numbers: 1 in 05.88
Possible Matches

3210
Hits
Odds
163050 1 in 14.11
171110 1 in 70.57
244020 1 in 35.29
252120 1 in 35.29
325010 1 in 70.57
333110 1 in 70.57
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Block NumberIndexes
Block 1
  • 01
  • 02
  • 03
  • 04
  • 05
  • 08
Block 2
  • 01
  • 02
  • 03
  • 04
  • 09
  • 10
Block 3
  • 01
  • 02
  • 05
  • 06
  • 07
  • 10
Block 4
  • 01
  • 03
  • 04
  • 07
  • 08
  • 09
Block 5
  • 01
  • 03
  • 05
  • 06
  • 08
  • 09
Block 6
  • 01
  • 04
  • 05
  • 06
  • 08
  • 10
Block 7
  • 02
  • 03
  • 04
  • 06
  • 07
  • 09
Block 8
  • 02
  • 04
  • 05
  • 07
  • 09
  • 10
Block 9
  • 02
  • 06
  • 07
  • 08
  • 09
  • 10
Block 10
  • 03
  • 05
  • 06
  • 07
  • 08
  • 10