All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
An Infinite Lattice of Points (Posted on 2024-05-23) Difficulty: 3 of 5
Consider an infinite square lattice of points with integer coordinates on a plane.

If two lattice points are chosen at random, what is the probability that the straight-line segment joining the two lattice points will not pass through any other lattice points?

**** Adapted from a problem appearing in the 2005 Fall collection of BENT, Brain Ticklers.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolution via EulerBrian Smith2024-05-24 11:19:35
Solutionsolution -- simulation and researchCharlie2024-05-23 12:23:44
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (12)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information