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wu :: forums    riddles    medium (Moderators: william wu, SMQ, Grimbal, ThudnBlunder, Eigenray, Icarus, towr)    expected number of hoops and loops « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: expected number of hoops and loops  (Read 4119 times) inexorable Full Member     Posts: 211 expected number of hoops and loops   « on: Jan 7th, 2012, 6:26pm » Quote Modify First, Happy New Year Everyone!   A bowl of spaghetti contains n strands. Thor picks two ends at random and joins them together. He does this until no ends remain.   What is the expected average length of the loops? (length measured as number of  strands in a loop)   What is the expected number of k-hoops? ( a k-hoop is a loop made from k strands)   IP Logged SMQ wu::riddles Moderator Uberpuzzler     Gender: Posts: 2084 Re: expected number of hoops and loops   « Reply #1 on: Jan 8th, 2012, 5:44am » Quote Modify Related to Rope Loops, I believe.   --SMQ IP Logged --SMQ Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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