These 27 tickets guarantee a win on the Lottery

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  • Опубликовано: 29 июл 2023
  • "You need 27 tickets to guarantee a win on the UK National Lottery" arxiv.org/abs/2307.12430
    This is a silly second channel. Main channel over here: / standupmaths
    Write-up on The Aperiodical. aperiodical.com/2023/07/27-ti...
    Code by Peter Rowlett. github.com/prowlett/lottery-g...
    My pre-draw numbers posted on all my social media links:
    / 1685346409652846592
    www.tiktok.com/@standup_maths...
    / cvslmepausa
    mathstodon.xyz/@standupmaths/...
    www.threads.net/@standupmaths...
    This was the draw: • Video
    Here are my numbers:
    2, 5, 7, 17, 19, 29
    2, 5, 7, 37, 47, 59
    17, 19, 29, 37, 47, 59
    3, 11, 13, 23, 31, 41
    3, 11, 13, 23, 43, 53
    13, 23, 31, 41, 43, 53
    1, 4, 6, 9, 25, 28
    1, 4, 10, 15, 49, 55
    1, 4, 16, 21, 36, 45
    6, 9, 10, 15, 36, 45
    6, 9, 16, 21, 49, 55
    10, 15, 16, 21, 25, 28
    25, 28, 36, 45, 49, 55
    12, 22, 26, 27, 42, 46
    12, 22, 32, 33, 56, 57
    12, 22, 35, 39, 51, 52
    26, 27, 32, 33, 51, 52
    26, 27, 35, 39, 56, 57
    32, 33, 35, 39, 42, 46
    42, 46, 51, 52, 56, 57
    8, 14, 18, 20, 40, 44
    8, 14, 24, 30, 54, 58
    8, 14, 34, 38, 48, 50
    18, 20, 24, 30, 48, 50
    18, 20, 34, 38, 54, 58
    24, 30, 34, 38, 40, 44
    40, 44, 48, 50, 54, 58
    Link to pre-register to know about book re-orders:
    forms.gle/2SVMUNRjUR7LNMTh8
  • НаукаНаука

Комментарии • 538

  • @parallelcircuit
    @parallelcircuit 10 месяцев назад +2206

    Matt, congratulations for making the least depressing video on RUclips that involves a middle aged, unshaven, man comparing lottery numbers on his couch in a dark room with his dog for company.

    • @coryman125
      @coryman125 10 месяцев назад +38

      Incredible. Matt, if you're reading this, please pin this comment!

    • @moooseman3
      @moooseman3 10 месяцев назад +54

      This is such a backhanded compliment of a comment.

    • @joadbreslin5819
      @joadbreslin5819 10 месяцев назад +40

      Before making that conclusion, I assume that you have watched at least 27 such videos.

    • @DuringDark
      @DuringDark 10 месяцев назад +27

      @@g.g.k.o. if you are a terrestrial animal (e.g. human, cheetah) having a dog for company is - regardless of your gender or top speed - the best choice ever. It shows sentience, prosocial behaviour and capability for having a dog.

    • @randomizednamme
      @randomizednamme 10 месяцев назад +2

      @@moooseman3it’s satirical

  • @Alexand3ry
    @Alexand3ry 10 месяцев назад +1484

    It would have been hilarious if 1,000 mathematicians all read the paper and bought the tickets; won the big prize; then had to split it...

    • @matj12
      @matj12 10 месяцев назад +77

      I think that many people pick 1, 2, 3, 4, 5, 6. If these numbers will be drawn, that will be funny.

    • @Art_Matters
      @Art_Matters 10 месяцев назад +49

      At least they would be able to calculate their share themselves... Or copy the answer from another math paper.

    • @0dWHOHWb0
      @0dWHOHWb0 10 месяцев назад +59

      What would be even more hilarious, imo, is if nobody played the numbers in the paper (opting to tune them like Matt) and those ended up being a successful strategy

    • @DB-thats-me
      @DB-thats-me 10 месяцев назад +31

      I would have like Matt to have shown how the paper’s numbers fared as well. 🤓

    • @adamusher5294
      @adamusher5294 10 месяцев назад +42

      I think I saw something similar once about 25 years ago. I don't remember the exact details but it was something like $30mil jackpot. It got a lot of press for being one of the biggest jackpots in the country at the time and a few news stations covered it and said something along the lines of 'Of course, if you want to guarantee a win you can purchase every number combination for $10mil... '. And then there were 12 or so division 1 winning tickets... way higher than usual. The thought of someone forking out $10mil to win

  • @FlorianLinscheid
    @FlorianLinscheid 10 месяцев назад +374

    You actually won two tickets. The ticket [8, 14, 18, 20, 40, 44] has 8 and 20 in it.

    • @SirRebrl
      @SirRebrl 10 месяцев назад +93

      He definitely should have just started with checking which set each number came from. 8 & 20 from set 3, and 33 & 56 from set 2. Way simpler than trying to find each iteration of each number across all of the tickets.

    • @GasparLewis
      @GasparLewis 10 месяцев назад +5

      @@SirRebrl Could've even mapped each plane to the games on a unique physical ticket. But maybe that's more an engineering gripe.

    • @NotKyleChicago
      @NotKyleChicago 10 месяцев назад +4

      I wondered about that, since I thought 8 and 20 were part of the same triangle.

    • @mr.cauliflower3536
      @mr.cauliflower3536 10 месяцев назад +9

      Bro's trying to scam the viewers xD

    • @verity3616
      @verity3616 10 месяцев назад +18

      This is where I expected a spreadsheet. Put in all the ticket numbers, then program it to highlight the cells based on the actual numbers you enter elsewhere. It would make a good visual too!

  • @DJvvAZZ
    @DJvvAZZ 10 месяцев назад +329

    Back in the early 90's when NZ lotto was only 6 numbers from 40, I spent waaaay too long working out how to manually fill out tickets, to guarantee 3 numbers for $10. I mean, every combination was accounted for.... I filled it out to plan , and got 3 numbers.... I won $5... Half my spend, but I'll always remember how proud I was, that I worked it out! And now I watch your videos, because math is fun to work out 😂

    • @JoJubjub-kx8lp
      @JoJubjub-kx8lp 10 месяцев назад +12

      I don't get the maths, but filling out 27 lotto pick boxes sounds like something im going to try, like you, if i win a fiver, at least i won, on maths, which would be ironic👍

    • @DJvvAZZ
      @DJvvAZZ 10 месяцев назад

      @@JoJubjub-kx8lp the math worked ( don't ask me how now, it was like 30 years ago, and it involved alot of algorithm, before I new what an algorithm was), but it won't help you now... Bonus numbers, extra numbers, Powerball etc... The math is easy, but to do that now, you need four numbers, of which in NZ, you need for a win, you can't guarantee any win.
      That said, I also worked out, if you used the math and purchased $15m in individual filled out numbers, on a jackpot of more than that, you can guarantee first division win, but ONLY if your the only winner

    • @cambridgemart2075
      @cambridgemart2075 10 месяцев назад +4

      The National Lottery in the UK used to be 1 to 49, so 49 numbers with 6 numbers drawn, they increased it to 59 with no reduction in ticket price (in fact it's double what it was in 1992)

    • @grbadalamenti
      @grbadalamenti 10 месяцев назад

      In Italy they are light years ahead. You can pick 5/90, that is Lotto or 6/90, that is SupeEnalotto.😂😂😂😂

    • @teelo12000
      @teelo12000 10 месяцев назад +1

      "when NZ lotto was only 6 numbers from 40" it still is! The extra numbers are only additional prizes, there is still a base prize for getting 3 numbers out of 6... though whether or not that base prize is worth it is another question.

  • @Main267
    @Main267 10 месяцев назад +80

    Don't gamble is solid advice.

    • @litigioussociety4249
      @litigioussociety4249 10 месяцев назад +3

      Unless the probability is 50% or higher of winning.

    • @communizzy
      @communizzy 10 месяцев назад

      @@litigioussociety4249isn’t the expectation value of the winnings being higher than the ticket cost more what you want? Otherwise, if a ticket cost 2 currency units (localize as suits best for you), and 51% of the time you win 1 currency unit, you’re still losing money

    • @matthewellisor5835
      @matthewellisor5835 10 месяцев назад +1

      @@litigioussociety4249 or it's for sake of mathematics education!

    • @toniokettner4821
      @toniokettner4821 10 месяцев назад

      ⁠@@litigioussociety4249unless the expected value of the logarithm of your bank account after the gamble would increase

    • @mensaswede4028
      @mensaswede4028 10 месяцев назад +10

      Unless the odds of winning are 90% but you only win 5% of what you staked. In which case, still don’t gamble.

  • @Rubrickety
    @Rubrickety 10 месяцев назад +66

    “It’s okay, I have a system.”?? How many better opportunities could you have to say “It’s okay, I’m a standup mathematician.”?

    • @geekjokes8458
      @geekjokes8458 10 месяцев назад +9

      or the classic "trust me, im a mathematician"

    • @jdotoz
      @jdotoz 10 месяцев назад

      Martingale is a system too.

    • @juanvera6419
      @juanvera6419 4 месяца назад

      What's your system

  • @robynduckworth4160
    @robynduckworth4160 10 месяцев назад +61

    I remember when the lottery changed from 49 to 59 and it was marketed as more numbers to choose from. The odds went up considerably and there were many times when there were no wins.

    • @amateurcameraman
      @amateurcameraman 10 месяцев назад +7

      That's when it went from "it could be you" to most often it's no one at all.
      To the point that there are many draws now, where no one wins the jackpot or 5 and the bonus. Meaning that often, the biggest prize won is 5 numbers, £1750.

    • @SpamMouse
      @SpamMouse 10 месяцев назад +2

      @@amateurcameraman Indeed look at the sales from years ago, the ticket sales has fallen.

    • @grbadalamenti
      @grbadalamenti 10 месяцев назад +4

      In Italy, they are bloody herassing people to pick from 90 numbers😂😂😂

    • @SpamMouse
      @SpamMouse 10 месяцев назад +1

      @@grbadalamenti Wow, like the French Keno, pick 10 numbers from 1 -> 70 ! (the jackpot isn't that good either)

    • @blimeycrikey
      @blimeycrikey 10 месяцев назад +4

      Odds of winning the UK lottery: 45m to 1.
      Odds of being struck by lightning in the UK: 1.2m to 1.

  • @mscha
    @mscha 10 месяцев назад +133

    Actually, you won *two* lucky dips, on 12 22 32 33 56 57 and on 8 14 18 20 40 44.
    (Looks like you forgot to mark 8 on your tickets.)

    • @timizorzom9506
      @timizorzom9506 10 месяцев назад

      How many with the 25?

    • @bcubed72
      @bcubed72 10 месяцев назад +4

      I get it now: all numbers are 2-digit, and "08" is upside-down. I was wondering why they miscalled 80!

    • @edgibbs2794
      @edgibbs2794 10 месяцев назад

      @@timizorzom9506 the 25 only gets him one additional win, the series 10,15,16,21,25,28.
      Edit: apparently the bonus ball only applies if you match 5 of the main numbers, so the 25 gets him nothing extra.

    • @adhillA97
      @adhillA97 10 месяцев назад +1

      They didn't call 80. The announcer definitely said 8

    • @viliml2763
      @viliml2763 10 месяцев назад

      @@timizorzom9506 another one match of two, [10, 15, 16, 21, 25, 28]

  • @upgradeplans777
    @upgradeplans777 10 месяцев назад +108

    @11:10 I thought that "random numbers live" is a proud tradition on this channel. If anything, compared to "Generating π from 1,000 random numbers", "2,000 throws of three-sided coins." and "Matt flips a coin 100 times.", these 7 numbers from a gravity pick lottery machine are nothing to write home about.
    By the way, I personally think that air mix machines are more fun to look at. But I'm not from the UK so I don't have much reason to complain about what the UK National Lottery does.

    • @lilDaveist
      @lilDaveist 10 месяцев назад +1

      I found the UKs version soooo stressful. 😂 here in Germany when I watched it as a kid with my parents, it’s all so peaceful, almost therapeutic.

    • @stephenosgood210
      @stephenosgood210 10 месяцев назад

      😢😢😢😊😮😮

    • @ceselb
      @ceselb 10 месяцев назад

      @@lilDaveist Used to be same here in Sweden. But have you seen it lately? It's going fast here, they have something like 90 seconds and that's drawing two identical games of 7 numbers.

  • @cosmicjenny4508
    @cosmicjenny4508 10 месяцев назад +111

    The non-zero amount of Skylab content in this video pleases me!
    I love how elegant the maths is for making this work with 27 tickets.

    • @garethaethwy
      @garethaethwy 10 месяцев назад +3

      Every video is automatically a non-zero number of times better when there's a pooch...

  • @johnchessant3012
    @johnchessant3012 10 месяцев назад +101

    Wow, almost 8 years since you covered the lottery on the main channel! Love when we advance the original plotlines like this.

  • @martijntervelde5600
    @martijntervelde5600 10 месяцев назад +134

    Quite interesting! It does raise two questions though:
    (1) How many tickets will you need to be sure you have at least 3 matching digits?
    (2) And how do their likelihood of profits compare?

    • @LightPink
      @LightPink 10 месяцев назад +22

      In my mind buying any combination of multiple tickets has the exact same expected outcome as buying one ticket (ignoring prize splitting).
      Only thing that would change is variance.

    • @toniokettner4821
      @toniokettner4821 10 месяцев назад +24

      the profit will always be the expected value of one ticket times the amount of tickets you buy, which is basically 0

    • @packered
      @packered 10 месяцев назад

      ​@@toniokettner4821that assumes that these are completely independent events. But they are not. Given the price payout structure, your EV will stay near zero, but it could change up or down depending on the numbers you pick in theory

    • @danielyuan9862
      @danielyuan9862 10 месяцев назад +27

      To answer your first question, you would need at least 93 tickets to guarantee at least one ticket with 3 numbers. Each ticket has a 1.086% chance of hitting at least 3 numbers, so 93 tickets is required to get the expected number of tickets that hit at least 3 numbers to be at least 1.
      But this is a very loose lower bound, since using this method for the 2 numbers problem gives you a lower bound of 10, when the actual minimum is 27.

    • @danielyuan9862
      @danielyuan9862 10 месяцев назад +17

      I also constructed a solution with 819 tickets: split the 59 numbers into a group of 15 pairs and a group of 14 pairs, with one left over. For every 3 pairs in the group of 15 pairs, create a ticket. Do the same for the group with 14 pairs. This should cover all possible draws.
      So that's 15 choose 3 + 14 choose 3 = 819 tickets.
      I got you an upper and lower bound for this problem, and I'll keep you up to date if I find a tighter bound from either side.

  • @Kowzorz
    @Kowzorz 10 месяцев назад +35

    For what it's worth, Matt, a piece of paper with only tons of numbers is exactly how many many people do their lottery tickets. Sadly, most expect the clerk to input the numbers, so I'm happy to see those little scantrons in use :)

    • @willguggn2
      @willguggn2 10 месяцев назад

      Don't most people do birth dates and simple shapes?

  • @luzallende4015
    @luzallende4015 9 месяцев назад +1

    That was great! I was able to follow you! I went back and saw the pattern work!

  • @davidconner-shover51
    @davidconner-shover51 10 месяцев назад +3

    I did similar with a lottery in my state. I even wrote a tidy little spreadsheet program to semi randomly generate the number sets
    after spending multiple hundreds across 2 weeks (14 drawings), I only came up with one day that paid more than I spent that day.
    most of the time it was never more than 20% over spending

  • @GuidoHatsizz
    @GuidoHatsizz 10 месяцев назад +3

    Matt, the first 20 seconds of your video is amazing. Thank you for making this video.

  • @jboy55
    @jboy55 9 месяцев назад +2

    I remember when the 6/49 came to Canada. They ran a huge ad campaign on, "How are you going to choose your lucky numbers?". They had a Mom say its the ages of her children, a guy using the years his parents were born and the year of his first car. You get the picture.
    A year later, they ran a campaign in which people in the ads were congratulating their friends and family that "their lucky numbers" were drawn, and the friends and family hitting their heads on the table etc because they lapsed in buying a ticket. Evil

  • @georgiapatrick5154
    @georgiapatrick5154 10 месяцев назад +2

    This video was super chilled and a great Sunday watch.

  • @HunterJE
    @HunterJE 10 месяцев назад +11

    Imagine the universe in which he just happened to win the jackpot and had to figure out how to turn that much money back in to the channel

    • @russellbeaubien7430
      @russellbeaubien7430 10 месяцев назад +1

      We would of had the most epic Pi Day video next year

  • @jhosioja
    @jhosioja 10 месяцев назад +7

    I think this was back in the 90s or early 00s, but I recall this competition where someone won the chance to do lottery for 50k, and now I recall that amount, it was almost certainly pre-euro (finnish marks, 1 was worth 17 cents in 2002 when we switched), and she won nothing. Or presumably she got like, a bunch of two number hits, but basically nothing compared to the time spent filling out 50k worth of lottery tickets. Which of course tracks because lottery is a waste of money.

  • @drrpsycho4987
    @drrpsycho4987 10 месяцев назад +17

    I liked this video alot tbh, just seemed more down to earth. Truly highlights that you're just a nut job 24/7 haha (I mean that in a nice way) keep up the good work you inspire this 21 year old who had a mandatory understanding of maths throughout school to keep learning new things. I'm sure I'm not the only inspired one here either 👍

  • @lily91556
    @lily91556 10 месяцев назад +40

    I imagine all of his video ideas start with him getting a notification and exclaiming "New maths!"

    • @JohnR31415
      @JohnR31415 10 месяцев назад +4

      And singing it as per Tom Lehrer…

    • @kennethaunstrup
      @kennethaunstrup 10 месяцев назад +2

      And then him shouting "to the Maths Cave crew!" and running off in the style of the Adam West Batman show

    • @vigilantcosmicpenguin8721
      @vigilantcosmicpenguin8721 10 месяцев назад

      @@kennethaunstrup To the Mattmobile!

  • @MeriaDuck
    @MeriaDuck 10 месяцев назад +21

    When trying to invite my dog on the couch when Matt asked his, he first was standing exactly between me and the screen, but now has settled next to me🐕🐾

    • @the11382
      @the11382 10 месяцев назад +1

      Don't forget to pet the dog.

  • @Yupppi
    @Yupppi 10 месяцев назад +8

    This perfectly demonstrates why you don't do lottery. Even with math you buy 27 tickets and get 2 right to win basically nothing. In Finland it's otherwise the same but the numbers are 1...40, they roll 7+1 numbers and you have to get 3+1 to win anything (2 euros, which is twice the ticket price). You have to have 6 correct to win anything worth mentioning (I guess 40e is worth mentiong for 5 correct, but nobody bothers to say they won 40e on lottery, 6 correct is 1600e this week).

  • @andyh7152
    @andyh7152 10 месяцев назад +2

    bizarrely I did this math on fixed odd football betting back in the 90's. Worked it out on a psion, using some basic matrix calculations. Not the same approach but it put me off gambling ever after. Wish I'd had the platform and courage to show what I'd worked out. Unfortunately the psion has long since passed away. Used it to rewrite my employers annuity calculations as well. Which got me a disciplinary followed by an a award when they realised what could be done. Happy days!

  • @stevieinselby
    @stevieinselby 10 месяцев назад +2

    I was looking forward to you ticking the numbers off your tickets in real-time like a bingo pro!

  • @RobloxKid123
    @RobloxKid123 10 месяцев назад +4

    You bought 27 tickets and won 1 extra ticket. Now that's what I like to call PROFIT!

  • @christophermccaul5662
    @christophermccaul5662 10 месяцев назад

    Thanks, matt, your videos are like my guilty pleasure... i think some of my people would make fun of me for watching math videos for fun but ur videos are so good. lol

  • @murk1e
    @murk1e 10 месяцев назад +3

    Fascinated by the box of switches on the desk!

  • @kevinlucow2291
    @kevinlucow2291 10 месяцев назад +11

    Came for the maths, stayed for the dog.

  • @invisiblevfx
    @invisiblevfx 10 месяцев назад +18

    True story, when I was learning programming in uni I made a random number generator to guess lottery numbers for my state but there was a bug in my code and it would only pick numbers in the 20’s it was late and I missed the deadline for the drawing but I decided to watch the drawing even though I didn’t play and wouldn’t you know all the numbers picked were in the 20’s.

  • @foobar1500
    @foobar1500 10 месяцев назад +2

    My personal preference on lottery is to play with sets of rows which have minimal possible overlap between each possible pair of rows on these sets. One might argue that such play reduces "clumpiness" of winnings although it certainly doesn't improve chances of winning the jackpot or even getting even. Just that individually random rows don't really have statistical guarantees over a set of rows played.

  • @jasonswofford5637
    @jasonswofford5637 10 месяцев назад +12

    My dog went nuts during the walking in the street part. As soon as it ended he settled down. We tested it five times every time we rewound the video to that part, and it's any part of that part, the dog instantly reacts. All other parts of the video - no reaction. Totally weird. I wonder if there is a background sound that I cannot detect that the dog is detecting somehow?

    • @karlwaugh30
      @karlwaugh30 10 месяцев назад +1

      He was walking his dog. Does your dog go nuts when other dogs are on screen, I've known dogs be like this so I suspect it's that.

    • @bbgun061
      @bbgun061 10 месяцев назад +6

      ​@@karlwaugh30the dog wasn't on screen

    • @karlwaugh30
      @karlwaugh30 10 месяцев назад

      @@bbgun061 but the audio of the dog was there...

    • @jasonswofford5637
      @jasonswofford5637 10 месяцев назад

      @@karlwaugh30 I'll have to listen again with higher volume.

  • @davidcushing4036
    @davidcushing4036 10 месяцев назад

    Thanks for making an awesome video!

  • @nicklombard610
    @nicklombard610 7 месяцев назад +1

    Hi Matt, great video. Is there any chance of a diagram of 5 and or x6 number combo's? it would be a great help.

  • @animarain
    @animarain 10 месяцев назад +2

    I loved everything about this video!

  • @robertpearce802
    @robertpearce802 10 месяцев назад +1

    From a National Lottery email "In Saturday’s Lotto draw, match 3 main numbers and instead of winning the normal £30, your prize will be boosted to £60*. Double the celebrations!". That is for Saturday, 5 August 2023. So there is now about 1 in 4 chance of making a net £6. The £60 for three matches is a guaranteed amount and does not depend on the number of winning tickets. I wonder if the National Lottery people have read the paper and decided to up the ante.

  • @millwrightrick1
    @millwrightrick1 10 месяцев назад +2

    40 years ago here in Ontario we had the 6/39 lottery. Match 3 numbers and you got a prize. My idea then was to cut a dowel into39 pieces, number them and draw them at random until our group had 10? different tickets. We won something almost every week but never a substantial prize.

  • @maxsnts
    @maxsnts 10 месяцев назад +8

    Would be interesting to see how many twos there was in that week compared to other weeks

  • @noot3316
    @noot3316 10 месяцев назад +6

    Real gamblers know you only need one ticket to win big

    • @bobbynygaardchrisitansen6874
      @bobbynygaardchrisitansen6874 10 месяцев назад +3

      yes the math is against everybody but at the end of the day it is quite binary it is either a win or not.

  • @elijahberegovsky8957
    @elijahberegovsky8957 10 месяцев назад

    Are you going to record the audiobook yourself again? I absolutely loved listening to Humble Pi, and I’m sure whatever you’re cooking now is worth making an audiobook out of it!

  • @DavidLindes
    @DavidLindes 10 месяцев назад +7

    Moral of this story: Even if you're doing lots of fancy maths, the lottery is statistically a losing bet.

    • @SharienGaming
      @SharienGaming 10 месяцев назад +5

      almost like its designed to be a losing bet XD

    • @jdotoz
      @jdotoz 10 месяцев назад

      If it were not, the government wouldn't run it.

    • @grbadalamenti
      @grbadalamenti 10 месяцев назад +2

      Well, it was designed by mathematicians😂😂😂😂

  • @Gravvvyyy
    @Gravvvyyy 10 месяцев назад +27

    Dude...I'm going and getting 30 tickets right NOW.

    • @mattparker2
      @mattparker2  10 месяцев назад +69

      The three extra ones should do the trick.

    • @Gravvvyyy
      @Gravvvyyy 10 месяцев назад

      @@mattparker2 only 1 way to find out.

    • @somegeezer
      @somegeezer 10 месяцев назад +8

      @@mattparker2 The winner is the one who buys the most tickets, right? I'll get 31!

    • @Bovineprogrammer
      @Bovineprogrammer 10 месяцев назад +15

      @@somegeezer 31! is a lot of tickets...

    • @MarkRedekop
      @MarkRedekop 10 месяцев назад +10

      31! Should win all the prizes congratulations!

  • @thebiblioholic
    @thebiblioholic 10 месяцев назад +1

    Are you shooting for an April 1 release of your new book?

  • @henrikskott
    @henrikskott 10 месяцев назад +1

    I love the framed comma on the wall!

  • @kevinruggles9180
    @kevinruggles9180 10 месяцев назад

    Can your planer chart be expanded to hold 59 numbers in one chart? I image that doesn't work for some good math reason.
    Love your work.

  • @davidisonyt
    @davidisonyt 10 месяцев назад +8

    Wow, your dog is a fantastic actor.

  • @astriiix
    @astriiix 10 месяцев назад

    hey does anyone know the name of the song at 0:15? I tried searching it with Shazam but it leads to this weird title that is clearly not the actual song, can anyone help?

  • @ceselb
    @ceselb 10 месяцев назад +1

    Congrats on the new book, Matt!

  • @WillToWinvlog
    @WillToWinvlog 10 месяцев назад +2

    That's cool! I know you said that the winnings would go to the channel. Does this mean that if you lose money, you will skip the next release? :( By the way, have you seen the Mathologer video on the pigeonhole principle? I thought it was pretty nice!

  • @WolfWalrus
    @WolfWalrus 10 месяцев назад

    Love how eager Sky is in the intro. Reminds me of that old British kids' show _Come Outside_ with Pippin the dog

  • @HiFolksImAdam
    @HiFolksImAdam 10 месяцев назад +11

    The numbers went from 49 to 59 in the past few years, right? Off the top of my head, I believe there was no two ball prize, though, just £10 winnings for three. Would be interesting to see if and how this could have been exploited back before the change, and whether you're more likely to "win" before or after

    • @thomasdalton1508
      @thomasdalton1508 10 месяцев назад +4

      The chance of getting at least 3 out of 49 is much lower than the chance of getting at least 2 out of 59, so if you only care about winning and not about how much you win then it was a good change. The chance of winning the jackpot was significantly reduced, but they did introduce an extra £1m prize. The overall expected value remains that you lose about half your money, since only about half the ticket price goes into the prize fund.

  • @paperheartzz
    @paperheartzz 10 месяцев назад

    The gimbal spin was super satisfying.

  • @moobaa420
    @moobaa420 10 месяцев назад +1

    MindYourDecisions posted a video just like this like an hour before you uploaded that's wild

  • @edwardhuspeka7921
    @edwardhuspeka7921 7 месяцев назад

    Hi Matt.
    Great video and explanation.
    I've got a similar math problem, and have been unable to calculate the answer.
    Perhaps you can lead me (or create a video) on the correct direction to get to the answer.
    The question is: How many tickets can be generated where no 2 numbers are repeated on any of the generated tickets?
    In Canada, we have 49 numbers and have to choose 6 numbers.
    At first, you would think ( 49 ! 2 ) / ( 6 ! 2) = 78.4 (or 78 tickets)
    But wait... not so fast.
    That's not possible because a single number cannot appear more than 9 times on the total of the tickets.
    Why is that? Let's take the number "1". On the first ticket "1" is with 2, 3, 4, 5 and 6.
    On the second ticket, "1" is with 7, 8, 9, 10, 11 and 12. (and so on and so on until...)
    On the ninth ticket, "1" is with 42, 43, 44, 45 and 46. This leaves only 47, 48 and 49.
    That's not enough to create a tenth ticket, and hence those combinations are wasted.
    So... A better limit would be (9 x 49) / 6 = 73.5 (or 73 tickets)
    But wait... not so fast.
    No matter how hard I try, I cannot get even near 73 tickets without hitting some kind of duplication.
    So, what is the real limit, and what do the results look like?
    Thanks, Edward.

  • @Splungified
    @Splungified 10 месяцев назад +1

    I've seen a couple of mathematicians react to a certain video so far, but I've really been wanting to see you cover Animation vs Maths by Alan Becker. I think you'd get a kick out of it.

  • @DarkKnight-ys1yg
    @DarkKnight-ys1yg 9 месяцев назад

    Wacthed the video, great by the way...but how did you come up with the list of 27 numbers?

    • @davidcushing4036
      @davidcushing4036 9 месяцев назад

      This isn't very helpful but they sort of just appeared whilst on a train journey. The building blocks were swirling around in my head and that was enough to see this method. (First set I actually produced were less elegant than these but use the same principle)

  •  10 месяцев назад +2

    11:15 Random Numbers LIVE, my favorite tv show.

  • @diynevala
    @diynevala 10 месяцев назад +1

    Oh man, that message notification got me TWICE!

  • @healthbeauty7853
    @healthbeauty7853 18 дней назад

    There are many ways to pick your numbers , python scripts ,random number generators ,or manually picking numbers. Picking numbers manually isn't always the best option and people have bias against picking certain numbers .

  • @MurderWho
    @MurderWho 10 месяцев назад

    Well before watching, I think this must be related to some kind of 2-system or 3-system with blocks of size 6, such that any two blocks share at least 2 numbers in common.
    That would indicate a symmetric system, aka a projective plane if it's a 2-system, and the goal here would be to construct 27 blocks s.t. any possible block of size 6 would fall into some possible projective plane with at least one of the 27 selected blocks.
    So this should be an optimization/packing problem, and since I don't see an immediate combinatoric relationship between 27 and 59, (the number of numbers in the UK national lottery, which I assume is the lottery in question), I'm going to guess that it isn't a perfect packing problem, and there's some "wasted space", but that it is impossible with 26 tickets.
    I kinda hope that hadamard matrices, (which are directly isomorphic to incidence structures such as 2-systems, as it happens), play a role in determining the optimal packing algorithm.
    I am, however, too lazy to work out a solution before watching, so at this point I will just watch.

  • @jamessmithson-br7rm
    @jamessmithson-br7rm 10 месяцев назад +1

    Aha, I worked out something similar when I was younger. Back when it was a £1 a ticket in the UK, I used to buy a similar number of tickets once or twice a year and I always won something (often a few things at once).

  • @Exaskryz
    @Exaskryz 10 месяцев назад

    Reminds me of Dobble (Spot It) math and magnitude of numbers

  • @iseriver3982
    @iseriver3982 10 месяцев назад +1

    Its nice of skylab to remember your lead. Australians can be a real menace when not properly trained.

  • @declaroh
    @declaroh 10 месяцев назад +1

    Your dog is very cute and clearly uninterested in becoming a youtube superstar. Her expression at 12:44 made me chuckle.

  • @mikew6644
    @mikew6644 10 месяцев назад +1

    0:20 seconds in and I’m already loving this video 😂

  • @razielhamalakh9813
    @razielhamalakh9813 10 месяцев назад +1

    What's the story behind the comma wall art?

  • @Archimedes115
    @Archimedes115 10 месяцев назад +3

    Imagine this was brought to you by DraftKings 🤣

  • @danielyuan9862
    @danielyuan9862 10 месяцев назад

    9:39 "If I _happen_ to win any money."
    Me: mhm, yes, of course

  • @feronanthus9756
    @feronanthus9756 10 месяцев назад +4

    The true irony is if you had played the numbers on the paper you would have made 4 matches of two

  • @magnusv5783
    @magnusv5783 10 месяцев назад

    My dogs went nuts from this video. They must be really excited about lottery numbers.

  • @user-wk8ms4rx6m
    @user-wk8ms4rx6m 10 месяцев назад +1

    Great Video. Now if you want to go super-nerd: try one of the US systems with a multiplier ball that has fewer numbers than the regulars (MegaMillions?). Yes, it happens to be high right now, and I'd love to win; but pure coincidence. And/or break the lottery system: combinations that would guarantee a profit.

  • @Dr.RiccoMastermind
    @Dr.RiccoMastermind 10 месяцев назад +9

    Hey Matt, here in 🇩🇪 we luckily habe 6 out of 49 only, ok plus an extra number.
    How many tickets would I need for 6 out of 49? Or even generally n iut of m? 🤔

    • @ReneZ11
      @ReneZ11 10 месяцев назад +2

      The math becomes more difficult because you need 3 numbers to win instead of two, so the whole derivation using the triangles won't work. And if you include the extra win condition of 2 numbers + SZ it becomes even more complex.

    • @Dr.RiccoMastermind
      @Dr.RiccoMastermind 10 месяцев назад

      @@ReneZ11 oh yes, that seems more complicated. Thank you for kindly replying!

    • @davidcushing4036
      @davidcushing4036 10 месяцев назад

      To match 2 you only need 19 tickets. But as already pointed out this does not win a prize.
      It is not known what the minimum number of tickets is to guarantee matching at least 3 from 49 numbers is. It is between 88 and 163. I think its a substantially more difficult problem

    • @danielyuan9862
      @danielyuan9862 10 месяцев назад

      ​@@davidcushing4036There's a solution with 163? That's insane!

  • @kneau
    @kneau 10 месяцев назад

    00:53 Though I think what's actually being said is, "Come on, let's go" -- I briefly heard & presumed your dog is named Scone. "Come on Scone!"

  • @e-pluszak9419
    @e-pluszak9419 10 месяцев назад +1

    11:37 there you go, 21 and 37 appearing on the lottery, cheers from 🇵🇱

  • @almightyhydra
    @almightyhydra 10 месяцев назад +2

    Hmm, times have changed. When I was a kid there were only 49 numbers and prizes started at 3 matches.

  • @agranero6
    @agranero6 10 месяцев назад

    The sound in the beginning of the video made me stop it and search for the message that arrived...for 2 minutes! The same thing happens in K-dramas where everybody has a Samsung with the default notification and ringtone.

  • @EDoyl
    @EDoyl 10 месяцев назад

    the first shot of the video was so cute! New Maths!

  • @steveshay5364
    @steveshay5364 9 месяцев назад

    More dogs and walks in town please! I don’t know where that is but its beautiful, and the pup is too

  • @1kreature
    @1kreature 10 месяцев назад

    My biggest takeaway from this is actually "That looks like a Labrador" to which my brain immediately rebelled and stated "Ofcource it is a cozey wozey woofsey Labrador, the statistics for it not to be would boggle the mind!"

  • @nizzidenio
    @nizzidenio 10 месяцев назад

    I would like to know how many other tickets won with the bonus ball? Seeing its a perfectly valid ball to be used it surely counts as an additional point?

  • @Nethershaw
    @Nethershaw 10 месяцев назад +1

    Matt Parker: You are such a nerd that you are mathematically the most satisfying kind of nerd for another nerd to watch.

  • @pieterfaes6263
    @pieterfaes6263 10 месяцев назад

    Is there a standardised way to do this? With that I mean: between a choice of X numbers, the amount of combinations needed to get at least Y numbers matching a selection of Z?
    The diagram method above appears good for two numbers from a selection of 6 from 60, but for a selection of 5 from 50 it seems not that practical.

    • @SgtSupaman
      @SgtSupaman 10 месяцев назад

      The Fano planes shown here aren't going to generalize. They are set up specifically to work with selecting 6 because 6 is divisible by 2 and 3, which allows the numbers to be grouped as they are. Trying to select 5 or wanting to match at least some number greater than 2 would require a different diagram. For generalizing, you might look into Steiner systems (of which these Fano planes fall under). They are set up as S(t,k,n) where t numbers match in blocks of k size from a set of n. So, if you are trying to select 5 from 50 and have at least 3 matching, you would use S(3,5,50).

  • @edvardpiano
    @edvardpiano 10 месяцев назад

    so how many tickets for n matching numbers?

  • @kylekons3672
    @kylekons3672 10 месяцев назад

    This is the same thing as the card game where you have to find the matching character

  • @notmyname327
    @notmyname327 10 месяцев назад +1

    Great video

  • @gavintillman1884
    @gavintillman1884 10 месяцев назад

    Didn’t realise you had a second account, I’ve been following your main account for several years. Surely this topic merits being on the main account.

  • @punkdigerati
    @punkdigerati 10 месяцев назад

    3:24 "it is using a bit of mathematics" Math‽ On a Matt Parker video? Why I never...

  • @yin333
    @yin333 10 месяцев назад +4

    I wish I was good enough at math to do this for the Australian Powerball 😂

    • @OutbackCatgirl
      @OutbackCatgirl 10 месяцев назад +1

      not worth it, trust me. you won't make a profit lol

  • @agurdel
    @agurdel 10 месяцев назад

    1:35 I misread the sign in the window and wondered what a class E toilet is.

  • @pristizastavka
    @pristizastavka 10 месяцев назад

    It would be cool to display the drawn numbers on the graphs and work out the winning tickets from there

  • @gauvainlefort9012
    @gauvainlefort9012 10 месяцев назад +1

    How would you adapt the generation process for the ticket for any size of pulls
    for example what if instead of 59 number in the pool the was 80
    and what if instead of 6 ball pulled there was 5
    I'd be interested if someone could explain it :)

    • @davidcushing4036
      @davidcushing4036 10 месяцев назад +3

      Unfortunately there is no known formula for the general problem. 27 tickets are needed for 60 balls and 28 tickets is are needed for 61 balls. I have a feeling that 48 tickets are needed 80 balls but proving that 47 tickets do not work might be very difficult.
      There is a known formula if only 2 or 3 balls are drawn.

  • @GourmetBurrito
    @GourmetBurrito 10 месяцев назад +1

    I wonder what the optimal strategy would be. I'm assuming, as you buy fewer tickets, your hit rate goes down but the amount needed to profit would also decrease.

    • @jhonbus
      @jhonbus 10 месяцев назад +3

      The optimal strategy is to buy zero tickets, since for every additional ticket you buy you on average lose a constant percentage of an increasing amount of money.

  • @Lastielion
    @Lastielion 10 месяцев назад +1

    I haven't had a tv for 20 years (for a long time I was just too poor and then streaming existed) so I am just amazed that interest in the National Lottery still commands a prime time Saturday night TV slot. (And it looks exactly the same as it did 20 years ago)

    • @mattparker2
      @mattparker2  10 месяцев назад +3

      It streams live on RUclips.

    • @Tahgtahv
      @Tahgtahv 10 месяцев назад +1

      I haven't either in forever. We had an aerial antenna (and for a little while a digital antenna box) and coaxial amplifier a couple years into the USA digital transition. We don't even have a TV tax. TBF, this is mostly because even then it was because we had no interest in watching, we still don't even of the many online options there are now.

    • @Lastielion
      @Lastielion 10 месяцев назад

      @@mattparker2 that makes more sense!

  • @JulesRulesOK
    @JulesRulesOK 2 месяца назад

    To increase your chances of winning more money, only play Lotto when there's a Jackpot Rolldown. This is roughly once a month when no one has won the jackpot. For example, on the 10th February 2024, all the lower tier cash prizes were boosted. The normal payout for 5 winning numbers on Lotto is £1,750, but boosted it was £4,323.

  • @luxhey
    @luxhey 10 месяцев назад

    I sincerely doubt it. But i have to ask. Was that "14 pages" a reference to DarkViperAu?

  • @MakeDataUseful
    @MakeDataUseful 10 месяцев назад +1

    I honestly thought WHSmith was only in Airports around the world

  • @luketurner314
    @luketurner314 10 месяцев назад

    9:53 lol, ikr

  • @fumedestroyer8582
    @fumedestroyer8582 10 месяцев назад

    Any systems for thunder ball ?

  • @xenopheliac7202
    @xenopheliac7202 10 месяцев назад +1

    God these videos are the best! :D