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

 The folly of war part 1: Knights (Posted on 2005-08-23)
Consider two opposing armies of knights armed only with swords. The sizes of these armies are 500 and 300 knights.

When locked in combat with an enemy each knight has even odds of winning or losing. Knights, being chivalrous, prefer single combat and will not double up on their enemies. The extra knights in the larger army will wait until there is a free enemy to fight.

[Essentially the killing power of the larger army is proportional to the size of the smaller army.]

When the dust settles the smaller army is eliminated. How many knights (are expected to) remain in the larger army?

Generalize for two armies of size A and B where A>B.

 See The Solution Submitted by Jer Rating: 3.4000 (5 votes)

 Subject Author Date No Subject bzzt 2005-08-30 23:48:51 re: Full generalised derivation Charlie 2005-08-28 17:42:36 Full generalised derivation Machiveli 2005-08-28 14:24:11 No Subject Paul 2005-08-27 13:16:03 The Answer Jeff 2005-08-27 04:31:50 Solution: Yes. Is it Simplifiable? I think not. Dimmeh 2005-08-25 09:39:44 No Subject Dimmeh 2005-08-25 07:16:12 re: Intuitive Solution Cory Taylor 2005-08-24 16:17:25 Intuitive Solution Eric 2005-08-24 15:15:19 re: Full manual solution (most probable) Charlie 2005-08-24 13:43:13 Full manual solution (most probable) Dimmeh 2005-08-24 09:04:01 re(2): Expected answer Dimmeh 2005-08-24 08:46:25 re: Expected answer Federico Kereki 2005-08-23 19:46:44 re: Folly Larry 2005-08-23 17:52:05 To be more exact. Analogy to smaller case. Charlie 2005-08-23 14:02:54 Expected answer Federico Kereki 2005-08-23 12:59:06 Second (continuous, rather than discrete) solution Dimmeh 2005-08-23 09:15:44 Another thing to fix up Dimmeh 2005-08-23 08:44:09 A couple things i should clear up Dimmeh 2005-08-23 08:40:41 No Subject Dimmeh 2005-08-23 08:20:44 Folly Bob Smith 2005-08-23 03:15:02 Before the arguments start.. Percy 2005-08-23 02:48:54 just a guess? sean 2005-08-23 02:28:50

 Search: Search body:
Forums (0)
Random Problem
Site Statistics
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox: