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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1262.0. "Another nearest neighbor problem" by TRACE::GILBERT (Ownership Obligates) Fri Jun 29 1990 21:26

Suppose that three kiddie commandos are uniformly distributed in a square room.

Now let me rephrase that :^)

Suppose three kiddie commandos are randomly placed in a square room, with
uniform distribution.  Simultaneously, each of the three kiddies shoots at
the other kiddie who is closest to him or her.  What is the expected number
of unshot kiddies?
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1262.1ALLVAX::JROTHIt's a bush recording...Sat Jun 30 1990 09:469
    I haven't followed this latest thread in geometric probability
    and am likely missing something but wouldn't it be 1 with probability
    1 in the case of 3 commandos (in a room or not.)

    The case of commandos at the vertices of a random n-dimensional
    simplex seems more interesting, and I'll have to think about it
    a little.

    - Jim
1262.2Yes, it's a `freebie'TRACE::GILBERTOwnership ObligatesMon Jul 02 1990 14:234
I was going to work my way through this problem with n = 1,2,3,... commandos,
and since n=3 was so cute, I thought I'd post it.

					- Gilbert