Can Math Make You Win? Gambler's Ruin, & Bingo Paradoxes with Arthur Benjamin
Mathematician, mental-math performer, and backgammon grandmaster Arthur Benjamin joins Noah and Autumn to talk about his book How to Win. Together they explore what mathematics knows about winning that human intuition gets wrong: coincidences, the birthday paradox, gambler's ruin, and why the house wins even when you reach your goal more than half the time. Timeline: 00:00 Can math ruin the fun of games? 00:38 Why people play for the challenge, not the answer 02:35 Mental arithmetic and the human element 03:30 Calculators, AI, and the future of coding 05:47 What does math know about winning that intuition gets wrong? 06:02 Coincidences and the birthday paradox 10:16 Why games are a microcosm for pattern-seeking 16:40 What games teach that the classroom doesn't 16:52 Gambler's ruin: how to get to the concert 20:30 The paradox: why casinos aren't afraid 22:30 What does "winning" really mean? 23:29 Wordle streaks vs. average guesses 27:07 Rubik's Cube, blackjack, and why some games never get old 35:38 Does math take the mystery out of games? Follow Arthur Benjamin on his website: (https://www.arthurbenjamin.info/) Subscribe for more on math, AI, technology, and the systems running the world. Follow Breaking Math on Substack (https://breakingmath.substack.com/) X (https://x.com/breakingmathpod) Instagram (https://www.instagram.com/breakingmathmedia/) Bluesky (https://bsky.app/profile/breakingmath.bsky.social) Website (https://www.breakingmath.io/) YouTube (https://www.youtube.com/@BreakingMathPod) Follow Noah on Instagram (https://www.instagram.com/profnoahgian/) X (https://x.com/ProfNoahGian) Bluesky (https://bsky.app/profile/profnoahgian.bsky.social) Follow Autumn on X (https://x.com/1autumn_leaf) Bluesky (https://bsky.app/profile/1autumnleaf.bsky.social) Instagram (https://www.instagram.com/1autumnleaf/) Substack (https://substack.com/@1autumnleaf) email: [email protected]