Odds Of Winning The National Lottery Uk
The Chances Of Winning The UK National Lottery
Odds Of Winning The National Lottery Uk Lottery
The chance of winning the National Lottery jackpot is 1 in 45,057,474, according to the Lotto website, while there is a 1 in 7,509,579 chance of getting five numbers plus the bonus ball. Have you heard of Richard Lusting, and how he won seven times in the lottery for the past 2 years?Richard Lusting confess that he was buried in debt two years ago, but after winning a total of $1. It won't improve your chances of winning the lottery but, if you DO win, it is likely to increase how much you win. To pop up since the National Lottery launched in 1994 have been 23, 40, 44. Since The National Lottery began in 1994, £41 billion has been raised for Good Causes, with the money going to projects from repairing Scout huts to making Olympic and Paralympic champions. Unfortunately there are just about as many different ways of choosing lottery numbers and the perfect combination as there are odds of winning it. Did you know that you have a one in 44.5m chance of winning the big jackpot in the National Lottery? That means that there are a lot of things more likely to happen to you than winning.
Odds Of Winning The National Lottery Uk Winning
- The Jackpot - 6 Numbers (Typical prize pool: Sat - £5m, Wed - £3m)
6 numbers are drawn at random from the set of integers between 1 and 49,which means there are 49!/(6!*(49-6)!) combinations of numbers (the draw orderdoesn't matter). The means that the jackpot chance is 1 in 13,983,816or approximately 1 in 14 million. - 5 Numbers + Bonus Number (Typical prize: £50,000)
You are still matching 6 numbers from the 1 to 49 set as above, but you cannow do it in 6 different ways (by dropping each of the main numbersin turn), therefore the chance is 1 in 13,983,816/6, which works out as1 in 2,330,636. - 5 Numbers (Typical prize: £1,500)
This is 42 times more likely than getting 5 numbers + the bonusnumber because, after the first six balls are drawn, there are 43 balls leftand you can match 42 of these 43 balls without matching the bonus number.Therefore the chance is 1 in 2,330,636/42, which evaluates to1 in 55,491.33333. - 4 Numbers (Typical prize: £100)
Firstly, let's take the case of the first 4 of your numbers matching and thelast 2 not matching. In this single case (where each set of chances relies onthe previous event occurring):Chance that your 1st number matches a winning number is 1 in 49/6.
Chance that your 2nd number matches a winning number is 1 in 48/5.
Chance that your 3rd number matches a winning number is 1 in 47/4.
Chance that your 4th number matches a winning number is 1 in 46/3.
Chance that your 5th number doesn't match a winning number is1 in 45/(45-2) [because there are still 2 unmatched winning numbers].
Chance that your 6th number doesn't match a winning number is1 in 44/(44-2) [yes, still 2 unmatched winning numbers].Now you need to accumulate all those chances by multiplying them together:
1 in (49/6)*(48/5)*(47/4)*(46/3)*(45/43)*(44/42) which is 1 in 15486.953.Now this is the chance for that single case occurring, but there are 15combinations of matching 4 from 6 [6!/(4!*(6-4)!)], so you divide the answerby 15 to get 1 in 15486.953/15 or 1 in 1032.4. - 3 Numbers (Constant prize: £25)
Follow exactly the same scheme as the 4 match above to get these figures:
1 in (49/6)*(48/5)*(47/4)*(46/43)*(45/42)*(44/41)(which is 1 in 1133.119) for a single case.There are 20 combinations of 3 from 6 [6!/(3!*(6-3)!], so the chance of a 3match is 1 in 1133.119/20 or 1 in 56.7.
Using some computer software I wrote, I calculated how many prizes wouldbe won if all combinations of the 13,983,816 tickets were bought:Needless to say, this exactly tallies with the more theoretical versionthat I described above.
