Your gut feeling about chance is usually wrong โ prove it to yourself. Simulate the Monty Hall problem, the birthday paradox and coin-flip streaks with thousands of instant trials.
Three doors, one car. You pick one โ the host opens a different door revealing a goat. Should you stay or switch? Most people say it doesn't matter. They're wrong.
Run a simulation to see stay vs switch win rates converge on 33% vs 67%.
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:
Press the button โ watch small groups collide far more often than intuition says.
Flip 100 coins and you'll almost always see 6+ heads in a row โ yet people call that โriggedโ. Randomness is streakier than it feels.
Flip to reveal the longest streak hiding in โrandomโ coins.