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(7,6,5,5,=6) describes the wheel with 7 chosen numbers designed for a Pick 6 lottery. The wheel guarantees at least one prize of 5 matches if 5 officially drawn numbers are within the group of 7 chosen numbers. Finally, the number of bets generated is 6, reduced from a total of 07.00 possible combinations of 7 taken 6 at a time. The coefficient of reduction is 01.17.

Wheel Summary
Abbreviated Wheel • Pick 6
7 Numbers
6 Tickets
5 if 5 Guarantee
Odds of guessing 5 Numbers
1 in 2,760.48
NumbersOccurrences
03
6
01  02  04  05  06
07
5

Select the Numbers Guessed: Total combinations: 21
Odds of guessing 5 Numbers: 1 in 2,760.48
Possible Matches

543210
Hits
Odds
1500006 1 in 9,661.67
24000015 1 in 3,864.67
1
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Block NumberIndexes
Block 1
  • 01
  • 02
  • 03
  • 04
  • 05
  • 06
Block 2
  • 01
  • 02
  • 03
  • 04
  • 05
  • 07
Block 3
  • 01
  • 02
  • 03
  • 04
  • 06
  • 07
Block 4
  • 01
  • 02
  • 03
  • 05
  • 06
  • 07
Block 5
  • 01
  • 03
  • 04
  • 05
  • 06
  • 07
Block 6
  • 02
  • 03
  • 04
  • 05
  • 06
  • 07