National Lottery (Ireland) their five main EuroMillions numbers in an additional draw for a fixed, non-rolling prize of €500,000. Players can also win fixed prizes of €2,000 for a match-4 and €20 for a match-3. The first Plus drawing was held on 15 June 2007. 76 percent of EuroMillions players now play Plus. Sales of Plus were €44.6 million in 2012, an increase of 3.7 percent over the previous year. In September 2012, the National Lottery introduced Daily Million to replace both Monday Million (a draw game with prizes up to €1 million, held once weekly on Monday nights) and All Or Nothing
Lottery mathematics bonus ball from a separate pool of formula_35 balls is: formula_36 The general formula for formula_13 matching balls in a formula_11 choose formula_12 lottery with no bonus ball from a separate pool of formula_35 balls is: formula_41 It is a hard (and often open) problem to calculate the minimum number of tickets one needs to purchase to guarantee that at least one of these tickets matches at least 2 numbers. In the 5-from-90 lotto, the minimum number of tickets that can guarantee a ticket with at least 2 matches is 100. As a discrete probability space, the probability of any