You'll Never Win This Game

The transitive property is ingrained in our thinking. It gives our brains a simple, straightforward way to process the world -- especially with numbers. If one thing is better or more valuable than another, and that second thing is better than a third, you KNOW that the first one is better than the third.

But it doesn’t always work that way. And if you fail to recognize when real life violates the pattern of transitivity, you’re going to run head first into a veridical paradox.

Efron’s non-transitive dice demonstrate that hard and fast rules about value don’t always exist. By toying with relative probabilities, Efron discovered that a die’s superiority or weakness can be relative -- and as the dice values get more complex, it becomes nearly impossible to reason out which die is stronger against the others.

In math, our first impressions are often deceptive. Occasionally they’re just plain wrong. And sometimes a game is designed to deceive you into believing you’re in a position of strength when there’s no way to win. That’s the deception paradox.

Oh -- and if someone wants to play a game with you and they let you go first… run.

*** LINKS ***

Vsauce2:
TikTok: https://www.tiktok.com/@vsaucetwo
Twitter: https://twitter.com/VsauceTwo
Facebook: https://www.facebook.com/VsauceTwo
Talk Vsauce2 in The Create Unknown Discord: https://discord.gg/tyh7AVm
Vsauce2 on Reddit: https://www.reddit.com/r/vsauce2/

Hosted and Produced by Kevin Lieber
Instagram: https://instagram.com/kevlieber
Twitter: https://twitter.com/kevinlieber
Podcast: https://www.youtube.com/thecreateunknown

Research and Writing by Matthew Tabor
https://twitter.com/TaborTCU

Editing by John Swan
https://www.youtube.com/channel/UCJuSltoYKrAUKnbYO5EMZ2A

Huge Thanks To Paula Lieber
https://www.etsy.com/shop/Craftality

Vsauce's Curiosity Box Store: https://www.curiositybox.com/collections/inqs-shop

#education #vsauce #maths

Видео You'll Never Win This Game канала Vsauce2