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⬣ 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.