A problem showing how different methods of random selection yield different probabilities.
Simulation Control
Probability Analysis
Observed Probability
0.0%
Theoretical: 33.33%
Total Chords0
Longer than Side0
Why the difference?
Choosing two random points on the circumference. The chord is longer only if the points lie in specific arcs (1/3 of circle).
About this calculator
Overview
Consider an equilateral triangle inscribed in a circle. Suppose a chord of the circle is chosen at random. What is the probability that the chord is longer than a side of the triangle?
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Pro Tips
Switch between methods to see how the definition of 'random' changes the result.
