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Interactive Tool

Probability Simulator

Run experiments hundreds or thousands of times and watch probability come alive. See the Law of Large Numbers converge in real time.

Coin Flipper

H
T
50%
Heads
0
Tails
0
Total
0
Heads %
0.0%
Flip coins to see convergence

Heads vs Tails

Convergence to Expected

Dice Roller

Rolls
0
Most Common
-
Average
-
Roll dice to see convergence

Distribution

Expected vs Actual

Card Drawer

With replacement
Drawn
0
Hearts
0
Remaining
52

Suit Distribution

Rank Distribution

The Monty Hall Problem

The Paradox: You pick a door. The host, who knows what is behind each door, opens another door to reveal a goat. Should you switch to the remaining door or stay? Counterintuitively, switching wins ~66.7% of the time!

Click a door to choose it.

1
Door 1
2
Door 2
3
Door 3
Switch Wins
0
Switch Total
0
Switch %
0%
Stay Wins
0
Stay Total
0
Stay %
0%

Switch vs Stay

Win Rate Over Trials

Birthday Paradox

Surprised? In a room of just 23 people, there is a greater than 50% chance that two of them share a birthday. With 70 people, the probability exceeds 99.9%!
23
Theoretical P(match)
50.7%
Simulated P(match)
-
Simulations
0

Probability Curve

50% crossover at ~23 people

Random Walk (Drunkard's Walk)

500
50
Avg Displacement
-
Max Distance
-
Steps Taken
0

Spinner

Total Spins
0
Last Result
-
Spin to see convergence

Customize Sectors

Expected vs Actual

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