Follow this topicFollow this topic Knowledge » Boost your income

Olympic EuroMillions: the best lottery ever

Cliff D'Arcy
by Lovemoney Staff Cliff D'Arcy on 16 July 2012  |  Comments 29 comments

Most lotteries are a rip-off, but maths proves that the July 27th EuroMillions superdraw will be sensational!

Olympic EuroMillions: the best lottery ever

It's often said that lotteries are "for mugs" and are nothing more than "a tax on people who are bad at maths". As a former mathematician, I would almost always agree. 

For example, I know that the UK's National Lottery pays out only 50p for every £1 of ticket sales. In other words, the Lotto has a 'negative expectation' of 50%. This means that -- with average luck and playing over long periods -- you should expect to lose roughly half of your stake money. 

As proof, lottery organiser Camelot Group had sales of £6,526 million in 2011/12, but paid out only £3,389 million in prize money. As a result, British punters lost £3,137 million in the 12 months ending 31st March 2012. This is more than three billion pounds, which averages to almost £121 for each of the UK's 26 million households. Ouch! 

The UK and the EuroMillions 

The EuroMillions lottery draws -- which take place on Tuesday and Friday evenings -- have a similar minus 50% expectation, because they too pay out only half of the stake money in prizes. Sometimes, however, certain EuroMillions draws are well worth playing -- and the biggest of these rare opportunities arrives later this month. 

As the UK is not part of the euro zone, the British pound creates a headache for the EuroMillions organisers. Over here, we pay £2 per ticket, but exactly the same ticket costs €2 in other European countries. As €2 is worth below £1.60, we Brits pay a quarter (25%) more to enter EuroMillions draws than European punters do. 

To tackle this British overpayment, Camelot has a special UK Millionaire Raffle open only to tickets sold in Britain. Each EuroMillions draw includes a raffle into which all UK participants are entered, with a guaranteed prize of £1 million. In other words, with two draws per week, the UK Millionaire Raffle guarantees to create at least 104 extra British millionaires each year. 

One enormous EuroMillions payout 

Every so often, in order to boost ticket sales and prize money, Camelot promotes special EuroMillions superdraws. 

For example, on Friday, 23rd December 2011, the UK Millionaire Raffle paid out 25 million-pound prizes, handing 25 new millionaires a cash-rich Christmas. In fact, the UK Millionaire Raffle paid out no fewer than 50 million-pound prizes that month, making December 2011 a bumper month for British gamblers. 

Even better, the biggest-ever EuroMillions superdraw is on the horizon. To celebrate the opening of the London 2012 Olympics, Camelot is organising a huge payout to coincide with the opening ceremony on Friday, 27th July. 

As the sporting festivities get under way on 27th July, that Friday evening's EuroMillions draw will include 100 -- yes, one hundred -- £1 million prizes to be paid out by the UK Millionaire raffle. In other words, as well as the usual EuroMillions prizes on offer that night, there will be another £100 million paid out to lucky Brits. 

This will be one of the biggest-ever prize funds to be widely shared by British punters. In addition, it will set a new world record for the largest number of millionaires created in a single draw. 

Why this is a super superdraw 

As I explained earlier, most lottery draws are pants, because they pay out only half of what is collected in ticket sales. The 27th July EuroMillions superdraw is very, very different, as it is set to pay out many times what Camelot will collect in ticket sales. 

For example, let's say that gambling-mad Brits buy 10 million tickets for the 27th July draw. These would cost £20 million and boost the usual EuroMillions prize pot by £10 million. However, the total paid out will be whatever we Brits go on to win in the main EuroMillions draw, plus another £100 million on top. 

Therefore, in this example, the payout to UK gamblers could be, say, £110 million on sales of £20 million. In effect, this would be 5½ times as much as we paid in, which is a payout ratio of 550%. Statistically speaking, this would make the 27th July draw a terrific gamble, because payout ratios above 100% mean that the odds are firmly in the punters' favour. 

What are your odds of winning £1 million? 

Of course, the odds of winning £1 million in this Olympic UK Millionaire Raffle superdraw depend entirely on the total number of tickets sold for that particular draw. 

Unfortunately, Camelot could not give me a figure for expected sales for the 27th July draw. This is because ticket sales vary dramatically, not least because of the weather and time of year. Also, ticket sales soar for draws with bumper payouts, especially those with huge jackpots above £100 million following multiple rollovers. 

Even so, here's a table showing a possible range of outcomes for British punters. Please note that these apply only to that one night (27th July) and not any other EuroMillions draws. Also, these numbers are purely a general guide and the actual outcome on the night is certain to be different to these figures. 

Tickets

sold

Ticket

cost

Odds of

winning

£1 million

Possible

UK prize

fund

Payout

ratio

10,000,000

£20,000,000

100,000 to one

£110,000,000

550%

12,500,000

£25,000,000

125,000 to one

£112,500,000

450%

15,000,000

£30,000,000

150,000 to one

£115,000,000

383%

17,500,000

£35,000,000

175,000 to one

£117,500,000

336%

20,000,000

£40,000,000

200,000 to one

£120,000,000

300%

22,500,000

£45,000,000

225,000 to one

£122,500,000

272%

25,000,000

£50,000,000

250,000 to one

£125,000,000

250%

As you can see, the more tickets are sold, the higher the odds against winning £1 million become. This is because the number of UK Millionaire Raffle winners is fixed at 100, but the odds against winning increase as the number of tickets entered in this raffle soars. 

Even so, if 20 million tickets are sold, then the odds against winning £1 million will be 200,000 to one -- making this much better than a fair gamble. Indeed, the payout for 20 million tickets sold could be £120 million, which is three times as much as the £40 million cost of these tickets. This equates to a payout ratio of 300%, which is three times the break-even point of a 'fair gamble' 100% payout. 

A mathematical marvel 

Of course, the chances of you winning a million are still very low, but the high payout ratio means this is the best lottery that I’ve found since I started loving maths more than 40 years ago. That’s why I’ll be buying a ticket or two for this Olympic superdraw. 

In summary, the 27th July EuroMillions superdraw is the best lottery that I have found since I started loving maths more than 40 years ago. That's why I will be buying a ticket or two for this Olympic superdraw! 

More: Start saving for a brighter future | How to win more from the lottery | Better protection from rip-off warranties

Enjoyed this? Show it some love

Twitter
General

Comments (29)

  • yocoxy
    Love rating 132
    yocoxy said

    Interesting article Cliff. I may join you in buying a ticket or two for that. I normally avoid the Saturday queues at the supermarket 'Chav kiosk' (where they sell primarily fags and lottery tickets).

    Report on 16 July 2012  |  Love thisLove  0 loves
  • mikecunliffe
    Love rating 22
    mikecunliffe said

    They should include your report in the Maths GCSE Cliff. As a part-time exam invigilator I can confirm that these exams have become easier over the past 6-7 years.

    I wonder what proportion of 16-18's play the lottery believing the odds to be good?

    That said, thanks Cliff. I'll punt something on the 27th Draw as well now.

    Report on 16 July 2012  |  Love thisLove  1 love
  • qwertybed
    Love rating 2
    qwertybed said

    "Camelot Group had sales of £6,526 million in 2011/12, but paid out only £3,389 million in prize money." This rather highlights what a pity it was that Richard Branson's lottery bid was rejected as he was intending to donate all profits to charity, let's hear it for Camelot! (eerie wind sound and no applause....)

    Report on 16 July 2012  |  Love thisLove  2 loves
  • sodit
    Love rating 127
    sodit said

    Damn it, Cliff, by writing about it, you're messing up your own odds.

    Report on 16 July 2012  |  Love thisLove  1 love
  • markj9035
    Love rating 19
    markj9035 said

    A good read, so much so that I too have stupidly bought in to the idea that 100.000 to 1 are good odds. Ticket bought, if I don't win, can I have my money back please Cliff?

    Report on 16 July 2012  |  Love thisLove  0 loves
  • mikecunliffe
    Love rating 22
    mikecunliffe said

    Yocoxy,

    picking-up on your comment about buying a ticket on Saturday - the day of the draw is always the best day to buy - providing it's a lucky dip you are purchasing.

    Consider this, it's in Camelot's interests to have a single jackpot winner - good for publicity as the amount is singularly large.

    Camelot create the "lucky dip" numbers. As a software developer if I had created the system I'd generate the lucky dips at quiet times (middle of night) and distribute those numbers throughout the following day. This generation would take account of all existing number combinations placed (luck dips AND self selected patterns) such that new lucky dip numbers were unique.

    Clearly, the same patterns could be purchased on successive days by self-selecting punters. Therefore, Friday night's generation is likely to suffer less from the random chance of being repeated on just the one final day.

    Buy your lucky dips on Saturday or Wednesday for the draw that same day.

    This will NOT increase your chance of winning but it WILL increase the likelihood that you'll not share should you win the big-one.

    Report on 16 July 2012  |  Love thisLove  0 loves
  • r
    Love rating 67
    r said

    @qwertybed

    If I remember correctly, Branson's bid was rejected because he had the highest costs by far of any bidder.

    r.

    Report on 16 July 2012  |  Love thisLove  0 loves
  • electricblue
    Love rating 643
    electricblue said

    The remaining monies after payouts are hardly 'lost' to the British taxpayer in any sense. Camelot makes big profits (personally I would still trust them more than anything involving Branson) but the lottery fund has enabled some amazing projects to go ahead in the UK which, frankly, I don't see any government or charitable body getting involved in. I've just toured the South coast with my American business partner and was able to take him to world class museums and exhibits which have been transformed with lottery funding.

    I suspect that the distribution to 'good causes' via the lottery is higher as a percentage of income than many of our respected 'charities'.

    A good article, I'll certainly be buying more tickets.

    Report on 16 July 2012  |  Love thisLove  1 love
  • michael_o_doherty@hotmail.com
    Love rating 1
    michael_o_doherty@hotmail.com said

    It will be interesting if Camalot publish the amount of Raffle numbers that were actually claimed on the date of the 100 millionaires. It would not suprise me if people have a tendency to check the Euro numbers but forget to check the raffle numbers.

    Lets see if there really will be 100 millionaires that night.

    Report on 16 July 2012  |  Love thisLove  1 love
  • Mike10613
    Love rating 599
    Mike10613 said

    If you use the same logic as in this article you would only buy tickets when there is a rollover. A lot of lottery money is wasted on things like the Olympics that benefits few people and cost as much as the upgrade to our railway system. All we need now is bouncers on the doors staying "no trainers". ;)

    Report on 16 July 2012  |  Love thisLove  0 loves
  • Yorkstyke
    Love rating 89
    Yorkstyke said

    For some time now I’ve thought that Love Money was not for people who seriously want to look after and grow their money.

    Sorry Cliff but this article proves it.

    I’ve no objection to a bit of fun but if it’s meant as serious advice, then to write such an article on what I perceive to be a financial advice website is beyond belief and reduces Love Money’s credibility even further.

    Report on 16 July 2012  |  Love thisLove  1 love
  • jmm01245
    Love rating 9
    jmm01245 said

    I like the article as it gives me more irrational reasons to attempt to predict lottery results. As long as the Camelot lottery is fair and not fixed, it will always be just a gamble. lovemoney's quality is not reduced because some think the article is inappropriate for a financial advice forum. After all there are articles on insurance deals. The actuaries who produce life tables are trying to assess current results to predict future outcomes. Statistics that show insurers that an outcome is highly likely and they won't insure that risk eg flooding risks in flood plains. In short life is a gamble especially when you consider that people often get a good result by just guessing. My wife picked a 50 to 1 winner of a horse race because she liked the owner's colours. I studied form and lost on another horse. I am now doing pointless research for numbers for my next £2 Euro stake. Well it is cheaper and more interesting than bingo.

    Report on 16 July 2012  |  Love thisLove  0 loves
  • electricblue
    Love rating 643
    electricblue said

    There have been inappropriate and badly informed articles on Lovemoney for sure, but as most of us have a dabble on the Lottery from time to time, regardless of how well we understand the odds, I think Cliff has written something informative and entertaining to all but a miserable few.

    Report on 16 July 2012  |  Love thisLove  4 loves
  • buywhenhigh
    Love rating 54
    buywhenhigh said

    Assuming there are 25 million sales (the higher estimate), if you could get a syndicate together and buy 5 million tickets, you would be mathematically certain to make a huge multi-million profit.

    You could risk it buy just buying 1 million tickets, but the risk of not hitting at least 1 of the 100 £1Million tickets and making a bad loss is at a guess 5%.

    Report on 16 July 2012  |  Love thisLove  0 loves
  • duncanw
    Love rating 1
    duncanw said

    part of the price of a lottery ticket goes on commision to the retailor,government tax then to good causes thus the 50% payout on ticket sales,people should take that into consideration,if you went into business you`d have to pay overheads,just like the lottery have to

    Report on 16 July 2012  |  Love thisLove  0 loves
  • PDB11
    Love rating 72
    PDB11 said

    Hang on, @buywhenhigh.

    Buying five million, or even twenty million tickets, doesn't make a mathematical certainty of anything. Probability doesn't work like that. (Most "beat the dice", "beat the cards", "beat the roulette wheel" schemes work on the basis that it does, incidentally, but it still doesn't.) It is still possible that all the tickets that win prizes will be among the millions of tickets you didn't buy.

    Remember the old party trick about birthdays - in a room of about 30 people, bet even money that two of them share a birthday. It turns out that if you've got thirty-odd people, the chance that two share a birthday is quite favourable (it passes 50% at 23 people) but it doesn't become a certainty (mathematical or any other sort) until you have 367 people.

    You can have three hundred-odd people in a room together and they could all have different birthdays, although the chance of that happening is many times smaller than winning the lottery. You can buy as many raffle tickets as you like, but it is still possible that all 100 prizes will go to tickets in the 20 million you didn't buy.

    Report on 17 July 2012  |  Love thisLove  0 loves
  • Arblaster
    Love rating 41
    Arblaster said

    I know a part time musician who one Saturday evening in a packed pub, raffled his wage packet from his day job. The winner really did get this guy's wage packet. But the guy who got the most money was the musician, since the revenue from the tickets was greater than the wage packet.

    The Euromillions is a tax on stupidity. The lion's share of your stake goes to the government.

    If you are looking for a large sum of money from a prize draw, then you will not lose your stake on premium bonds.

    Report on 18 July 2012  |  Love thisLove  0 loves
  • Spikus
    Love rating 24
    Spikus said

    Any way you look at it, the odds of winning are massively against you making any punt a mugs punt. The only people who play the lottery are those with money to throw away or those who don't understand basic maths.

    Nobody will buy enough tickets to increase their chances measurably. 'In it to win it'. Nice slogan but it just isn't good value for money even if it better value then the previous lotteries.

    Report on 18 July 2012  |  Love thisLove  0 loves
  • RocketSteve
    Love rating 30
    RocketSteve said

    All this maths and comments about the money going to the government, is a bit rich (no pun intended)

    The government would be better not having the lotto as the tax is only 5%. It would be better for the G to scrap the lotto and get us to buy fags, booze, for just spend it on VATed items.

    I also see people 'throw' money away on trivial material items, buy more food than they need and visit Starbucks far too often. Doing all these will never get you richer, but a flutter may just at that.

    Report on 18 July 2012  |  Love thisLove  0 loves
  • yocoxy
    Love rating 132
    yocoxy said

    Buywhenhigh. Interesting name and better advice than spending £5 million, leaving 20 million tickets in the hands of others and feeling that you're guaranteed to win one of the 101 big prizes.

    If you've tossed tails ten times in a row, what are the chances of the next flip being heads? Surely 11 in a row is really rare isn't it? Well, yes but the next toss is a 50% chance as is any other single flip. it's really tough to bet on black at the roulette table when you've just seen 5 or 6 black numbers in a row but that doesn't make red more likely..

    Sometimes statistics seem to defy logic but the idea that buying all but the odd 20 million tickets will guarantee a win is bizarre.

    Report on 18 July 2012  |  Love thisLove  0 loves
  • electricblue
    Love rating 643
    electricblue said

    Instead of daft comments on how much goes to the government or anywhere else, based on what your mate in the pub thinks, why not just read it direct from the Lottery web site?

    http://www.national-lottery.co.uk/player/p/goodcausesandwinners/wherethemoneygoes.ftl

    Camelot claim to run the most efficient lottery in Europe, lets all chill and understand that the lottery is at least not a WASTE of money.

    Report on 19 July 2012  |  Love thisLove  0 loves
  • jonnie2thumbs
    Love rating 90
    jonnie2thumbs said

    Nobody will buy enough tickets to increase their chances measurably

    that's odd because splashing out an extra 2 quid on one more ticket would double your chances of winning......

    cue Homer Simpson...... DOH!

    Report on 22 July 2012  |  Love thisLove  0 loves
  • Nickul
    Love rating 0
    Nickul said

    To jonnie2thumbs: No offence mate but you're wrong!

    Buying two tickets doesn't double your chances of winning. Whatever the odds were, for example if it was 100,000 to 1 that you'd win with one ticket, you'd have to buy 100,000 more tickets to double your chances.

    If anything when everyone buys two tickets, it decreases your chances - because it increases your chances by the most miniscule, pointless amount, yet there's double the amount of tickets being sold from which the draw will be made!!!

    I think you should review the "DOH!" comment and fire it back at yourself if I'm honest :)

    Report on 27 July 2012  |  Love thisLove  0 loves
  • electricblue
    Love rating 643
    electricblue said

    @Nickul

    Everything in your comment is incorrect. Tickets are not grabbed out of a hat but selected based on the numbers drawn. There is a mathematical constant with no correlation to the number of tickets sold.

    Clearly the chance of you understanding probability theory is ZERO. More tickets sold means potentially less money if you win. It does not and cannot possibly affect your personal odds of actually winning.

    Report on 27 July 2012  |  Love thisLove  1 love
  • TheWizardOfUzz
    Love rating 10
    TheWizardOfUzz said

    Lotteries have been and always will be a tax on the poor and uneducated. Anybody spending more than a pound needs their heads testing.

    The government want us all to smoke and drink like fish. If they really cared about the health and well being of the population more than they do about tax revenues they would make both cigarettes and alcohol illegal. Smokers and drinkers die earlier than the rest and so pay more tax revenue and cost the Health Service less. A 90 year old teetotaler will likely cost the health service a fortune in geriatric care while paying little or nothing in tax.

    #scepticism off

    Report on 27 July 2012  |  Love thisLove  1 love
  • finnol49
    Love rating 22
    finnol49 said

    There will be no trouble raising the extra £100m to pay for the raffle prizes. If everybody who currently buys a ticket bought an extra one or two, that would be enough.

    More poor people win the lottery than rich people. It's easy to tell, because so many lottery winners go bankrupt within a couple of years. A family I once knew of, who won a substantial amount back in the 60s, the father spent every lunchtime at the pub. They were back in the same council house within 9 months. The ones that do hang on to their money are the ones that make smart investments, don't waste their money and don't give in to the scroungers; they have the rich persons' mindset.

    Report on 27 July 2012  |  Love thisLove  0 loves
  • Nickul
    Love rating 0
    Nickul said

    @electricblue "Everything in your comment is incorrect" - Firstly, I take it then that you mistakenly believe two ticket purchases will double someone's chances? This also is a basic misunderstanding of probability.

    And secondly, the big Euromillions draw tonight is a raffle of sorts. So yes, they are, in effect, grabbed out of a hat. The more tickets bought the lower the chances of winning. Fact.

    PS I am quite a nice person and I would like my comments to be taken thusly. There's no need for caps locks is there? :D

    Report on 27 July 2012  |  Love thisLove  0 loves
  • jonnie2thumbs
    Love rating 90
    jonnie2thumbs said

    @Nickul

    The Euromillions draw is a lottery

    http://en.wikipedia.org/wiki/Lottery_mathematics

    1 ticket = 1 chance in 116,531,799 to win jackpot

    2 tickets = 2 chances in 116,531,799 to win jackpot unless you buy 2 tickets with the same numbers which really would be a DOH!

    So you have exactly doubled your odds of winning.

    The Millionaire Raffle is, errr well it's a raffle - hence the name

    and in the raffle part it is indeed a fact that the more tickets sold, the lower the chances of each ticket winning, but it is also a fact that buying 2 tickets instead of 1 will almost double your chance of winning.

    For example

    1000 tickets sold

    1 prize

    odds of each ticket winning = 1 in a 1000

    Now if I buy 2 tickets

    1001 tickets sold

    1 prize

    odds of me winning = 2 in 1001 or 1 in 500.5 which is almost double.

    and the other way round

    if the other 999 people buy an extra ticket and I don't

    1999 tickets

    1 prize

    odds of me winning with 1 ticket = 1 in 1999 or half my chances - so when i buy another ticket my chances are 2 in 2000 - ie they have doubled, back to the odds when we all had one ticket.

    So I can't see why I need to retract my original comment, as it was patently true

    Hope this helps

    Report on 27 July 2012  |  Love thisLove  1 love
  • yocoxy
    Love rating 132
    yocoxy said

    If you've bought one ticket and you want to double your chances you need to buy another 100,000? Nice person maybe but no expert in probability.

    Report on 31 July 2012  |  Love thisLove  0 loves

Post a comment

Sign in or register to post a reply.

Our top deals

Credit card
company
Balance transfers rate and period Representative
APR
Apply
now

Barclaycard 27Mth Platinum Visa

0% for 27 months (3.5% fee) Representative 18.9% APR (variable) Apply
Representative example: assumed borrowing of £1,200, representative 18.9% APR (variable). Purchase rate 18.9% PA (variable). BT fee is reduced from 3.9% to 3.5% (T&Cs apply).

Barclaycard 25Mth Platinum Visa

0% for 25 months (2.4% fee) Representative 18.9% APR (variable) Apply
Representative example: assumed borrowing of £1,200, representative 18.9% APR (variable). Purchase rate 18.9% PA (variable). BT fee is reduced from 3.5% to 2.4% (T&Cs apply)

Halifax BT 25 Month MasterCard

0% for 25 months (2.5% fee) Representative 18.9% APR (variable) Apply
Representative example: assumed borrowing of £1,200, representative 18.9% APR (variable). Purchase rate 19.0% PA (variable).
W3C  Thank you for using CGWEBLIV1