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Alice is throwing a party with n other guests, nclud ing Bob. Bob starts a rumor about Alice by telling it to one of the other guests. A person hearing this rumor for the first time will immediately tell it to one other guest, chosen u formly at random from all the people at the party except Alice and the person from whom they heard t. If a person including Bob) hears the rumor for the second time, he or she will not propagate it further. Write a program to estimate the probability that everyone at the party (except Alice w hear the rumor before it stops propagating. Also calculate an estimate of the expected number of people to hear the rumor
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