What Researchers Learned from 350,757 Coin Flips

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/AnotherRoof/ You’ll also get 20% off an annual premium subscription. ⬣ SURVEY ⬣ https://forms.gle/EtfqTEP4dxJhZiT19 ⬣ LINKS ⬣ ⬡ PATREON: https://www.patreon.com/anotherroof ⬡ CHANNEL: https://www.youtube.com/c/AnotherRoof ⬡ WEBSITE: https://anotherroof.top ⬡ SUBREDDIT: https://www.reddit.com/r/anotherroof ⬡ TWITCH: https://www.twitch.tv/anotherroof ⬣ ABOUT ⬣ A team of students recently won an Ig Nobel Prize for flipping coins 350,757 times and showing that a coin toss may not be 50/50. In this video, we break down the mechanical model that motivated them, as well as whether this new paper stands up to scrutiny. ⬣ TIMESTAMPS ⬣ 00:00 - Intro 02:24 - Motivating Mechanical Model 08:03 - Binomial Distribution and Hypothesis Testing 15:37 - Results 20:46 - Conclusion 24:45 - Outro ⬣ INVESTIGATORS ⬣ Nothing for you here. Sorry! ⬣ REFERENCES ⬣ [1] F. Bartoš, A. Saradoglou, H. R. Godmann, A. Sahrani: "Fair coins tend to land on the same side they started: Evidence from 350,757 flips," Preprint, 2023. https://www.researchgate.net/publication/374700857 [2] A. Gelman, D. Nolan: "You Can Load a Die, But You Can't Bias a Coin," The American Statistician, 2002. https://www.researchgate.net/publication/4745988 [3] J. B. Keller: "The Probability of Heads," The American Mathematical Monthly, 1986. http://gauss.stat.su.se/gu/sg/2012VT/penny.pdf [4] P. Diaconis, S. Holmes, R. Montgomery: Dynamical Bias in the Coin Toss," SIAM Review, 2007. https://www.researchgate.net/publication/251525331 ⬣ CREDITS ⬣ Music by Danijel Zambo, Tobias Voigt. B ROLL Coin Flipping (extra footage) - Numberphile2 https://www.youtube.com/watch?v=9RKKoXw7wJw How thick is a three-sided coin? - Stand-up Maths https://www.youtube.com/watch?v=-qqPKKOU-yY The Best, Fairest Coin Flip Cheat Ever (Thanks to Rick Smith Jr.) - Scam School https://www.youtube.com/watch?v=A-L7KOjyDrE Coin Flipping Marathon - Coin Tossing Team https://www.youtube.com/watch?v=3xNg51mv-fk camera shutter speed and frame rate match helicopter`s rotor - Chris Fay https://www.youtube.com/watch?v=yr3ngmRuGUc IMAGES Vector Images provided by: https://www.vecteezy.com/free-vector/3d Ig Nobel Prizes https://img.lemde.fr/2024/09/12/0/0/3561/2374/1440/960/60/0/dfb5ea7_1726138499846-ap19256012540979.jpg Ig Nobel Ceremony 2024 https://www.youtube.com/watch?v=ukBwV9Lap2A Mammals Can Breathe Through... https://www.cell.com/news-do/ig-nobel-2024-med Drunk Worms https://iop.uva.nl/content/news/2024/09/ig-nobel-prize-for-drunk-worms.html Factors Involved in the Ejection of Milk https://doi.org/10.3168/jds.S0022-0302(41)95406-1 UK 10p Coin https://www.royalmint.com/globalassets/consumer/_campaigns/2019/gbch/2019-10p-a-z-circ-std-obv.jpg This video was sponsored by Brilliant.