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Lottery Odds and Cognitive Bias: Why We Keep Playing a Game We Know We'll Lose
On November 8, 2022, Edwin Castro walked into a gas station in Altadena, California and walked out with a Powerball ticket worth $2.04 billion. The largest lottery jackpot in history. One ticket with One in 292 million odds. The next day, millions of people bought tickets anyway. It's not irrational. It's something more interesting than that. It's the human brain doing exactly what it was built to do, just in a way it was never designed for. How Absurd the Numbers Really Are
Jai Pandey
Jun 276 min read
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Are Scoring Runs Real? The Math Behind the Hot Hand
Picture this: a basketball player has just hit ten free throws in a row. The crowd is losing it. His teammates are feeding him the ball every chance they get. Everyone in the arena knows he's on fire. But is he actually? This question has driven statisticians, psychologists, and sports fans absolutely crazy for decades, and the answer is way more complicated than anyone would expect. We Are Wired to See Streaks The belief in hot streaks goes way beyond basketball. Roulette pl
Jai Pandey
Apr 245 min read
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The Math Behind Viral Trends: Why the Internet Loses Its Mind on Command
Here's a question: 8 divided by 2(2+2). What do you get? If you said 16, congratulations. If you said 1, also congratulations, you're both part of the problem. In July 2019, this math expression broke the internet. Not a political scandal. Not a celebrity meltdown. A math problem. Steven Strogatz of the New York Times captured it perfectly: "The normally reassuring world of math, where right and wrong exist, and logic must prevail, started to seem troublingly, perhaps tantali
Jai Pandey
Apr 175 min read
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A Fractal Primer: The Math Hidden in Everything You Can Think Of.
What if I told you that Alaska's coastline is simultaneously 6,640 miles long and 33,904 miles long, and both answers are technically correct? That's not a typo. The Congressional Research Service says 6,640. NOAA says 33,904. A 27,000 mile difference, and neither agency is wrong. If you're confused, good. You should be. Welcome to the coastline paradox, and the rabbit hole that eventually leads to one of the coolest ideas in all of mathematics: fractals. The Ruler Problem He
Jai Pandey
Apr 94 min read
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