Bertrand's chord
Pick a chord of a circle by choosing its two endpoints uniformly and independently on the circumference. What is the probability the chord is longer than the side of the inscribed equilateral triangle? (to 3 decimals)
Show hints (2)+
- Fix one endpoint and rotate it to a vertex of the triangle.
- Which arc must the other endpoint land on?
Answer
Reveal answer →Final answer
0.333 (± 0.01)
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