🎲 Probability Paradox Lab

Three doors, one car. You pick one — the host opens a different door revealing a goat. Should you stay or switch? Most people say it doesn't matter. They're wrong.

In a group of just 23 people, there's a 50% chance two share a birthday. With 70 people it's 99.9%. Set a group size and simulate 2,000 groups:

Flip 100 coins and you'll almost always see 6+ heads in a row — yet people call that “rigged”. Randomness is streakier than it feels.