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# The Math (and money) of Soccer Stickers - Numberphile

Sitene ekle

**Published on Apr 26, 2018**

Check out Brilliant (and get 20% off) by clicking https://brilliant.org/numberphile Featuring Federico Ardila --- More links & stuff in full description below ↓↓↓ Extra footage (the 'beautiful math' bit): https://youtu.be/iMSitUaoS3I Extra footage (some fun sticker stuff): https://youtu.be/3HIYQNjBr2U Federico Ardila is based at San Francisco State University: http://math.sfsu.edu/federico/ Paul Harper's Cardiff University received much publicity for his sticker calculations (referenced in the video)... https://www.cardiff.ac.uk/news/view/1... The Double Dixie Cup Problem: https://faculty.wharton.upenn.edu/wp-... Panini: http://www.paninigroup.com NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Sign up for (occasional) emails: http://eepurl.com/YdjL9 More links & stuff in full description below ↓↓↓ Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Mustavo GaiaBut how much does it cost to have 9 friends?

GavinMath won’t explain how the United States, the country with the largest GDP and third-largest population, didn’t qualify for the World Cup.

Science with KatieOh gosh, this takes me back to my Pokemon sticker book days! I used to think the holographic-type stickers were the best!

Stefan LopuszanskiIt can be lower than $136. You just trade 1 for 2 for those who are desperate. Thus the entire world of economics! :-P

IceMetalPunkThat Messi pun was pure serendipity. I approve!

Daniel GioiaMessi formula!!! Damn right! 0001f61d

Taoh RihzeAhh finally someone who gets that indexes starts at 0.

Theo_CaroThe mathematics of lootboxes!

BrandlinMo Salah, Bobby Firmino, Adam Lallana, Alex oxlaid chamberlain... looks like he opened the Liverpool FC pack

Adzter 96If there's no repeats in a pack you've got to include that too so the first 5 all have 0% chance of being repeats, the next 5 all have 5/682 chance of being repeats, then it's however many you have on average (just under 10)/682 for the next 5 and so on

AlabasterJazzIt seems this formula is based on f remaining constant until ALL people involved completes their album. In reality each person would only play until their own album is complete and then no longer contribute to everyone else completing theirs. Is there a formula for that? ie for how much it would cost to fill just the first album, and then the cost to fill the 2nd album assuming the first player is gone (f - 1), and then the cost of the 3rd assuming the 2nd is gone (f - 2), etc.

Stefan EhrenhausIsnt there an other layer of complexity? Are the stickers chance of appearence weighted equally? Or are there stickers that are much rarer than others? Maybe they produce Xmillion stickers for player 1 but only a couple thousand for player 5 and so on.

Marco BeriA friend of mine works in a printing factory for Panini (I don't know if this definition is right, but I'm sure you get it) and he told me that the sequence is not at all random. Every sachet has always 5 different stickers and every sequence of sachet has different stickers. I think that using discrete intervals would complicate a lot the calculus!

Gian Carlo MartinelliWhat's the math to calculate how much of that money goes to FIFA? One of the most corrupt organizations in the planet...

TheIrishManI still have my World cup 1990 sticker album....

Ayoub SahiThe solution for the square problem is

TimmacTRThe funny part is trying to complete the album with less than the total cost....

FloergieThe fact that within a Panini-Packet there never are doubles should change the math quite a bit too, shouldn't it?

SwordOfPhoenixthe messi formula

Arnaud LécuyerThe hypothesis is that Panini distributes its stickers randomly. And I don't believe that's true. I have started this 2018 album. I bought 460 stickers. I simulated random series and I saw that I was supposed to get 135 repeats (29%). Instead I actually got... 180 repeats (39%) !!!. So... either I have been extreeeeemely unlucky, or... the distribution is not random. Statistics say it's not random... (of course maybe each sticker is printed in equal numbers but... they're sent to different parts of the world... so one sticker is rare in England and another is rare in France). There is no way Panini is fair about this. The proof is in the numbers.