Decision theory Memes

Posts tagged with Decision theory

The Monty Hall Probability Paradox

The Monty Hall Probability Paradox
This SpongeBob meme perfectly captures the mind-bending Monty Hall problem that breaks everyone's brain! 🧠💥 The Monty Hall problem is that weird probability puzzle where you pick 1 of 3 doors, then the host shows you a goat behind another door, and asks if you want to switch your choice. Counter to intuition, switching gives you a 2/3 chance of winning instead of 50/50! Patrick's confusion represents all of us trying to wrap our heads around why switching doors is mathematically better. The probability doesn't reset after a door is opened - your first choice still has a 1/3 chance, while switching gives you 2/3. Even math professors have gotten into heated arguments over this!

Goats Are The GOAT: The Monty Hall Probability Paradox

Goats Are The GOAT: The Monty Hall Probability Paradox
The Monty Hall problem strikes again! This statistical paradox makes even mathematicians sweat. You pick one of three doors, then the host (who knows what's behind each door) opens another door showing a goat, and offers you the chance to switch your choice. The meme beautifully captures the cognitive dissonance: the left guy insists "it's 50/50" (wrong), the right figure knows "no switching is 2/3 chance" (also wrong), and the stick figure in the middle is just happy to potentially get a goat with "so much grass" (honestly, the real winner here). The truth? Switching gives you a 2/3 chance of winning, while staying put gives you 1/3. It's counterintuitive enough to cause family arguments at Thanksgiving dinner. Trust the math, not your intuition!

When Math Doesn't Add Up To Marital Bliss

When Math Doesn't Add Up To Marital Bliss
Someone clearly misunderstood game theory! This meme shows John Nash (from A Beautiful Mind ) alongside a hilariously misapplied "payoff matrix" that tries to justify cheating. The irony? Real Nash Equilibrium is about finding stable strategies where no player benefits from changing only their own strategy - not rationalizing infidelity! In this matrix, the only person who always "wins" is the cheating husband (getting either "harem" or "open relationship"). Methinks someone failed both Game Theory 101 AND Marriage 101! 🧮💔

Google Expected Value

Google Expected Value
The math nerds are cackling right now. Anyone who paid attention in stats class knows the green button is worth $25 million in expected value (50% × $50M), while the red gives you a guaranteed $1M. Yet most humans grab that red button faster than a tenure committee rejecting new ideas. It's the perfect illustration of why casinos exist—our monkey brains would rather have one banana now than a 50% chance at 50 bananas later. The same reason your research grant proposal got rejected in favor of something "practical."

The Monty Hall Paradox Strikes Again

The Monty Hall Paradox Strikes Again
The classic Monty Hall paradox strikes again! The son is wrestling with one of probability theory's most counterintuitive problems. When given three doors with a prize behind one, and after choosing door #1, being shown that door #3 has nothing, switching to door #2 actually gives you a 2/3 chance of winning instead of 1/3! What makes this extra hilarious is how the dad casually checks in on his son's game progress only to find him having an existential crisis over conditional probability. The mathematical truth defies our intuition so hard that even professional mathematicians got this wrong when it first appeared in a magazine column in 1990.

The Gambler's Trolley Problem

The Gambler's Trolley Problem
Philosophy meets probability theory in this delightful ethical nightmare. The classic trolley problem wasn't keeping philosophy departments busy enough, so someone added statistics. Now you get to calculate expected mortality rates while contemplating moral responsibility. Nothing says "fun Friday night" like computing the utilitarian value of 0.25 × 5 deaths versus 1 guaranteed death. Most philosophers are still trying to figure out if this counts as homework or gambling.