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(6,5,2,2,=3) describes the wheel with 6 chosen numbers designed for a Pick 5 lottery. The wheel guarantees at least one prize of 2 matches if 2 officially drawn numbers are within the group of 6 chosen numbers. Finally, the number of bets generated is 3, reduced from a total of 06.00 possible combinations of 6 taken 5 at a time. The coefficient of reduction is 02.00.

Wheel Summary
Abbreviated Wheel • Pick 5
6 White Balls
3 Tickets
2 if 2 Guarantee
Odds of guessing 2 White Balls
1 in 18.87
White BallsOccurrences
03  04  05
3
01  02  06
2

Select the Numbers Guessed: Total combinations: 15
Odds of guessing 2 White Balls: 1 in 18.87
Possible Matches

210
Hits
Odds
1203 1 in 94.34
2109 1 in 31.45
3003 1 in 94.34
1
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Block NumberIndexes
Block 1
  • 01
  • 02
  • 03
  • 04
  • 05
Block 2
  • 01
  • 03
  • 04
  • 05
  • 06
Block 3
  • 02
  • 03
  • 04
  • 05
  • 06