The 50/50 Problem You Won't Believe

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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.

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Hosted and Produced by Kevin Lieber
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Podcast: https://www.youtube.com/thecreateunknown

Research and Writing by Matthew Tabor
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Editing by John Swan
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Huge Thanks To Paula Lieber
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#education #vsauce #maths

BetaSeries' opinion

Rediscover the Hilarious World of '=3': A Must-Watch YouTube Sensation

In the vast universe of online entertainment, few shows have made as much impact as "=3". Hosted initially by the charismatic Ray William Johnson, this YouTube web series quickly became a staple for comedy lovers around the globe. With its unique format that combined viral video commentary with sharp wit, "=3" captured the hearts of millions. As it evolved through various hosts like Robby Motz and Kaja Martin, its legacy continued to influence internet culture in profound ways.

The show's inception can be traced back to a time when YouTube was burgeoning with creativity and innovation. Ray William Johnson's dynamic presence and clever humor created an unmatched viewing experience that resonated with audiences seeking laughter and entertainment. His ability to dissect viral videos with humorous insights made "=3" not just a show but a weekly ritual for many fans.

After Ray stepped down in March 2014, Robby Motz took over hosting duties, bringing his own flair while maintaining the essence of what made "=3" so beloved. Although some viewers were skeptical at first, Robby's charm eventually won them over, keeping the fan base engaged and entertained. However, transitions are never easy in long-running shows; when Kaja Martin became the host in July 2015, she faced challenges in retaining viewership amidst changing internet trends.

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