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) number) or on a seven-number game (including the bonus number). Lotto 5-4-3-2-1 accounted for €13.1 million in sales in 2012. The National Lottery joined the transnational EuroMillions lottery on 8 October 2004. As of 2012, EuroMillions accounts for 24 percent of National Lottery sales. Several EuroMillions jackpots have been won or shared in Ireland: Irish sales of EuroMillions were €131.5 million in 2012, a 3.2 percent increase on the previous year. In June 2007, the National Lottery introduced "Plus," an add-on to the main EuroMillions game available only to Irish players. For an extra €1 per line, players can enter