⚡ Build the skills to land top-paying quant jobs. Offer ends in --d --h --m --s-- days -- hours -- minutes -- seconds.
⚡ Build the skills to land top-paying quant jobs. Offer ends in 19d 08h 36m 13s19 days 8 hours 36 minutes 13 seconds.
You have noodles in your soup bowl. You repeatedly pick two free noodle ends uniformly at random (from all free ends in the bowl) and tie them together. You continue until there are no free ends. Find the expression for the expected number of loops.
Also find the expression for the probability of making one large loop which includes every noodle. Compute this probability for noodles.