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
Construction of the real numbers For convenience we may take the lower set formula_1 as the representative of any given Dedekind cut formula_2, since formula_3 completely determines formula_4. By doing this we may think intuitively of a real number as being represented by the set of all smaller rational numbers. In more detail, a real number formula_5 is any subset of the set formula_6 of rational numbers that fulfills the following conditions: As an example of a Dedekind cut representing an irrational number, we may take the positive square root of 2. This can be defined by the set formula_49. It can be seen from