National Lottery (United Kingdom) entry fee to the EuroMillions draw is £2.50 per board. The odds of winning the jackpot are 139,838,160 to 1. On Friday 26 January 2018, the first EuroMillions HotPicks draw took place. It uses the same five main numbers as the EuroMillions draw and offers players the chance to win one of five prizes from £10 up to £1 million. The game works in a similar way to Lotto HotPicks whereby players have to decide how many numbers they are going to match. If they do not successfully match all of their selected numbers, then no prize is awarded. As
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