Birds on a Wire

Subject:	a probability puzzle
Date:	Fri, 05 Oct 2001 19:37:48 -0700
From:	Mark Galecki

Alex,

Mark Galecki

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If you are reading this, your browser is not set to run Java applets. Try IE11 or Safari and declare the site http:///www.cut-the-knot.org as trusted in the Java setup.

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What if applet does not run?

(The applet runs a specified number of trials for every number of birds between the specified minimum and maximum values.)

Four solutions below come from a discussion at the CTKExchange forum.

Geometric Probability

• Geometric Probabilities
• Are Most Triangles Obtuse?
  • Eight Selections in Six Sectors
  • Three Random Points on a Circle
• Barycentric Coordinates and Geometric Probability
  • Stick Broken Into Three Pieces (Trilinear Coordinates)
  • Stick Broken Into Three Pieces. Solution in Cartesian Coordinatess
• Bertrand's Paradox
• Birds On a Wire (Problem and Interactive Simulation)
  • Birds on a Wire: Solution by Nathan Bowler
  • Birds on a Wire. Solution by Mark Huber
  • Birds on a Wire: a probabilistic simulation. Solution by Moshe Eliner
  • Birds on a Wire. Solution by Stuart Anderson
  • Birds on a Wire. Solution by Bogdan Lataianu
• Buffon's Noodle Simulation
• Averaging Raindrops - an exercise in geometric probability
  • Averaging Raindrops, Part 2
• Rectangle on a Chessboard: an Introduction
• Marking And Breaking Sticks
• Random Points on a Segment
• Semicircle Coverage
• Hemisphere Coverage
• Overlapping Random Intervals
• Random Intervals with One Dominant
• Points on a Square Grid
• Flat Probabilities on a Sphere
• Probability in Triangle

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