Connecting noodles
A bowl holds 100 noodles (200 free ends). You repeatedly tie two random free ends together until none remain. What is the expected number of loops formed? (to 2 decimals)
Show hints (2)+
- At each tie, what's the chance you join an end to its own other end?
- Sum over the noodles.
Answer
Reveal answer →Final answer
3.28 (± 0.05)
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