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- Q14318147 subject Q7020692.
- Q14318147 subject Q8480470.
- Q14318147 subject Q8811839.
- Q14318147 abstract "Lottery mathematics is used here to mean the calculation of the probabilities in a lottery game. In the lottery game used in the examples below, one selects 6 numbers from 49, and hopes that as many of those 6 as possible match the 6 that are randomly selected from the same pool of 49 numbers in the "draw". Since October 2015, the National Lottery in the U.K. has changed to selecting 6 numbers from 59. The chance of winning has thereby reduced from 1 in 13.98 million (shown below) to 1 in 45 million. This number can be obtained by multiplying 59 × 58 × 57 × 56 × 55 × 54 and then dividing by (6 × 5 × 4 × 3 × 2 × 1) as in the 6 from 49 example below. The exact figure is 45,057,474. The factorial notation, used below and shown by an exclamation mark (!), is merely a mathematical shorthand for writing out long strings of multiplication. So 5 factorial, written as 5!, and is equal to 5 × 4 × 3 × 2 × 1, which equals 120. Twelve factorial would be 12! = 12 × 11 × 10 × 9 × … all the way down to … × 3 × 2 × 1 (that is, 479,001,600).".
- Q14318147 wikiPageExternalLink 1.
- Q14318147 wikiPageExternalLink lottery.html.
- Q14318147 wikiPageExternalLink eulers-analysis-of-the-genoese-lottery-introduction.
- Q14318147 wikiPageExternalLink lottery.html.
- Q14318147 wikiPageWikiLink Q1062013.
- Q14318147 wikiPageWikiLink Q11272.
- Q14318147 wikiPageWikiLink Q120976.
- Q14318147 wikiPageWikiLink Q14318147.
- Q14318147 wikiPageWikiLink Q1517536.
- Q14318147 wikiPageWikiLink Q1677320.
- Q14318147 wikiPageWikiLink Q1749937.
- Q14318147 wikiPageWikiLink Q189409.
- Q14318147 wikiPageWikiLink Q202805.
- Q14318147 wikiPageWikiLink Q2280451.
- Q14318147 wikiPageWikiLink Q2614241.
- Q14318147 wikiPageWikiLink Q4955182.
- Q14318147 wikiPageWikiLink Q6685043.
- Q14318147 wikiPageWikiLink Q7020692.
- Q14318147 wikiPageWikiLink Q730600.
- Q14318147 wikiPageWikiLink Q748250.
- Q14318147 wikiPageWikiLink Q8480470.
- Q14318147 wikiPageWikiLink Q8811839.
- Q14318147 wikiPageWikiLink Q9492.
- Q14318147 comment "Lottery mathematics is used here to mean the calculation of the probabilities in a lottery game. In the lottery game used in the examples below, one selects 6 numbers from 49, and hopes that as many of those 6 as possible match the 6 that are randomly selected from the same pool of 49 numbers in the "draw". Since October 2015, the National Lottery in the U.K. has changed to selecting 6 numbers from 59.".
- Q14318147 label "Lottery mathematics".