Channel: Vsauce2

Category: Education

Tags: probability and statisticsprobability mathcritical thinking skillsprobability theoryproblem you’ll never solvevsaucemissing dollar riddlevsauce2battleship algorithmriddles with answersprobability distributiongame you always winvsausewhat is a paradoxparrondo’s paradoxvsause2probabilityant on a rubber ropebrain teaserspizza theoremcalculate oddsgame you win by losingvsauce2 paradoxgame you never winbirthday paradoxgame that learns

Description: Get the Vsauce Curiosity Box: curiositybox.com/vsauce2 Probability is one of the clearest, more straightforward disciplines within mathematics. Unfortunately, almost nothing in mathematics is murkier and more misleading than… probability. WHAT?! Belgian mathematician Maurice Kraitchik posed a simple question about wagering wallets, and in doing so he revealed a paradoxical mismatch between a raw, indisputable math conclusion and common sense logic. Why does the math say one thing and reality says another? What do we do when the numbers don’t lie, but we know they aren’t telling the whole truth? Probability density functions. Bayesian subjectivist analysis. You can put it all together and still not be able to square the math with the simple nagging logic that tells you something different. Maybe there are some antinomical paradoxes we just have to live with. And maybe that’s okay. *** SOURCES *** Merryfield, K., Viet, N., & Watson, S. (1997). The Wallet Paradox. The American Mathematical Monthly, 104(7), 647-649. doi:10.2307/2975058 Carroll, M., Jones, M., & Rykken, E. (2001). The Wallet Paradox Revisited. Mathematics Magazine, 74(5), 378-383. doi:10.2307/2691032 Kraitchik, M. (1942). Mathematical Recreations. W. W. Norton. *** LINKS *** Vsauce2: TikTok: tiktok.com/@vsaucetwo Twitter: twitter.com/VsauceTwo Facebook: facebook.com/VsauceTwo Talk Vsauce2 in The Create Unknown Discord: discord.gg/tyh7AVm Vsauce2 on Reddit: reddit.com/r/vsauce2 Hosted and Produced by Kevin Lieber Instagram: instagram.com/kevlieber Twitter: twitter.com/kevinlieber Podcast: youtube.com/thecreateunknown Research and Writing by Matthew Tabor twitter.com/TaborTCU Editing by John Swan youtube.com/channel/UCJuSltoYKrAUKnbYO5EMZ2A Huge Thanks To Paula Lieber etsy.com/shop/Craftality Vsauce's Curiosity Box Store: curiositybox.com/collections/inqs-shop #education #vsauce #math