Bertrand Paradox Calculator
Free calculate probabilities for the bertrand paradox - different methods give different results. Get instant, accurate results with our easy-to-use calculator.
Paradox Simulation
For radius=1, side length ≈ 1.732
Simulation Results
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About the Bertrand Paradox
Method 1: Random Endpoints
- • Choose 2 random points on circle
- • Draw chord between them
- • Probability: 1/3
- • Most intuitive method
Method 2: Random Radius
- • Choose random radius
- • Choose random point on radius
- • Draw perpendicular chord
- • Probability: 1/2
Method 3: Random Midpoint
- • Choose random point inside circle
- • Draw chord with this as midpoint
- • Probability: 1/4
- • Most uniform distribution