# ball

SPMars
Posers and Puzzles 07 Jun '06 21:05
1. 07 Jun '06 21:05
My rather untidy friend has 100 pieces of string, which are tangled
into a ball so that each of the 200 ends are protruding from the
surface. My friend picks one of the 200 ends at random, and attaches
it randomly to one of the 199 remaining ends. After this he picks
another end at random, and then attaches this randomly to one of the
remaining 197 ends. Continuing in this way, he finally joins all
200 of the ends up, leaving a number of loops of string. On
average, how many loops should he expect to obtain?
2. BigDoggProblem
Court Jester
07 Jun '06 21:49
Originally posted by SPMars
My rather untidy friend has 100 pieces of string, which are tangled
into a ball so that each of the 200 ends are protruding from the
surface. My friend picks one of the 200 ends at random, and attaches
it randomly to one of the 199 remaining ends. After this he picks
another end at random, and then attaches this randomly to one of the
remaining 197 end ...[text shortened]... p, leaving a number of loops of string. On
average, how many loops should he expect to obtain?
Not as many as a tidy person would.
3. 07 Jun '06 22:31
Originally posted by SPMars
My rather untidy friend has 100 pieces of string, which are tangled
into a ball so that each of the 200 ends are protruding from the
surface. My friend picks one of the 200 ends at random, and attaches
it randomly to one of the 199 remaining ends. After this he picks
another end at random, and then attaches this randomly to one of the
remaining 197 end ...[text shortened]... p, leaving a number of loops of string. On
average, how many loops should he expect to obtain?
3.284?
4. 08 Jun '06 10:08
Very good!