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c) Every week a family visits their favourite restaurant. The restaurant has 15 tables, and on each visit the family is seated at a table chosen uniformly at random, with all choices being independent. Show that the probability is at least 1/2 that the family will sit at every table in the restaurant over the course of a year..

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c) Every week a family visits their favourite restaurant. The restaurant has 15 tables, and on each visit the family is seated at a table chosen uniformly at random, with all choices being independent. Show that the probability is at least 1/2 that the family will sit at every table in the restaurant over the course of a year.

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