Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Crawling Ant Problems

  1. Nov 16, 2006 #1
    Suppose there are ants at each vertex of a triangle and they all simultaneously crawl along a side of the triangle to the next vertex. The probability that no two ants will encounter one another is 2/8, since the only two cases in which no encounter occurs is when all the ants go left, i.e., clockwise -- LLL -- or all go right, i.e., counterclockwise -- RRR. In the six other cases -- RRL, RLR, RLL, LLR, LRL, and LRR -- an encounter occurs. Now suppose that, analogously, there is an ant at each vertex of a polyhedron and that the ants all simultaneously move along one edge of the polyhedron to the next vertex, each ant choosing its path randomly. For each of the following polyhedra, what is the probability that no two ants will encounter one another, either en route or at the next vertex? Express your answer reduced to lowest common denominators, e.g., 2/8 must be reduced to 1/4.
    :confused:
     
  2. jcsd
  3. Nov 21, 2006 #2

    EnumaElish

    User Avatar
    Science Advisor
    Homework Helper

    "Express your answer reduced to lowest common denominators, e.g., 2/8 must be reduced to 1/4" sounds like homework...
     
  4. Nov 21, 2006 #3
    Where are the polyhedra?
     
  5. Nov 21, 2006 #4

    taka ra man ka... ingna lang gud nga dili ka ka answer,, ayaw sige ug pataka ug storya...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Crawling Ant Problems
  1. Class of Problems? (Replies: 5)

  2. Combinatorics problem (Replies: 4)

  3. Problem on Logic (Replies: 10)

  4. Combinatorial Problem (Replies: 1)

Loading...