Lottery mathematics Lottery mathematics Lottery mathematics is used to calculate probabilities of winning or losing a lottery game. It is based heavily on combinatorics, particularly the twelvefold way and combinations without replacement. In a typical 6/49 game, each player chooses six distinct numbers from a range of 1-49. If the six numbers on a ticket match the numbers drawn by the lottery, the ticket holder is a jackpot winner—regardless of the order of the numbers. The probability of this happening is 1 in 13,983,816. The chance of winning can be demonstrated as follows: The first number drawn has a 1 in 49
National Lottery (Ireland) changed Lotto to a 6/39 game later in 1992, raising the jackpot odds to 1 in 3,262,623. The first Lotto 6/39 drawing was held on 22 August 1992. To compensate for the longer jackpot odds, the National Lottery doubled the starting jackpot to and added a "bonus number" to the drawings. Whereas players previously needed either a match-6, match-5, or match-4 to win, prizes were now also awarded for match-5+bonus, match-4+bonus, and match-3+bonus. Lotto became a 6/42 game on 24 September 1994, which made the jackpot odds 1 in 5,245,786. The National Lottery made this change to generate bigger rollover