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2. A group of 24 physical doctors from three countries consists of 7 Americans, 8 British...

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Statistics

2. A group of 24 physical doctors from three countries consistsof 7 Americans, 8 British and 9 Chinese. They (wearing masks) areseated at random around a (large enough) table to discuss the meansof treatment of COVID-19 patients. Compute the followingprobabilities:

(a) that all the Americans sit together; (b) that all theAmericans and the British sit together; (c) that all the Americans,all the British and all the Chinese sit together.

(d) Randomly choose 6 doctors from the group of doctors in theabove question to evaluate the efficiency of one type of treatmentof COVID-19. It is unfair if all of the 6 doctors are from the samecountry. What is the probability that the selection is fair?

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