Probability Paradoxes

• Birthday Paradox - In a room of just 23 people, there's a 50% chance two share a birthday. With 70 people, it's 99.9% c...

• Monty Hall Problem - Pick a door. The host opens another door showing a goat. Should you switch? YES - switching gives yo...

• Berkson's Paradox - Selection bias creates false correlations. Among Hollywood actors, talent and attractiveness seem ne...

• Bertrand's Box Paradox - Three boxes with 2 coins each: GG, SS, GS. You draw gold. What's the probability the other coin is g...

• Bertrand's Paradox - What's the probability a random chord in a circle is longer than the side of an inscribed triangle? ...

• False Positive Paradox - A 99% accurate test says you have a rare disease. The chance you actually have it? Often less than 5...

• Intransitive Dice - Die A usually beats B, B usually beats C, but C usually beats A! Rock-paper-scissors with probabilit...

• Three Prisoners Problem - Of three prisoners, one will be freed. A asks the guard to name another who will die. After learning...

• Proebsting's Paradox - Kelly criterion gambling can still lead to ruin...