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

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

(a) that all the Americans sit together; (b) that all the Americans 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 the above question to evaluate the efficiency of one type of treatment of COVID-19. It is unfair if all of the 6 doctors are from the same country. What is the probability that the selection is fair?

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orchestra answered 1 year ago

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