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

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**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 Gaia9 months agoBut how much does it cost to have 9 friends?

Gavin9 months agoMath 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 Katie9 months agoOh gosh, this takes me back to my Pokemon sticker book days! I used to think the holographic-type stickers were the best!

Stefan Lopuszanski9 months agoIt can be lower than $136. You just trade 1 for 2 for those who are desperate. Thus the entire world of economics! :-P

Daniel Gioia9 months agoMessi formula!!! Damn right! 😝

IceMetalPunk9 months agoThat Messi pun was pure serendipity. I approve!

Brandlin9 months agoMo Salah, Bobby Firmino, Adam Lallana, Alex oxlaid chamberlain... looks like he opened the Liverpool FC pack

Taoh Rihze9 months agoAhh finally someone who gets that indexes starts at 0.

Theo_Caro9 months agoThe mathematics of lootboxes!

AlabasterJazz9 months agoIt 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.

Adzter 969 months ago (edited)If 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

Stefan Ehrenhaus9 months agoIsnt 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.

GCM9 months agoWhat's the math to calculate how much of that money goes to FIFA? One of the most corrupt organizations in the planet...

Marco Beri9 months agoA 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!

Ayoub Sahi9 months agoThe solution for the square problem is

StevenToast9 months agoI still have my World cup 1990 sticker album....

TimmacTR9 months agoThe funny part is trying to complete the album with less than the total cost....

Floergie9 months agoThe fact that within a Panini-Packet there never are doubles should change the math quite a bit too, shouldn't it?

SwordOfPhoenix9 months agothe messi formula

Verdigris9 months agoDamn this reminds me of the 90s.