Five job applicants are ranked according to their abilities

Five job applicants are ranked according to their abilities with applicant number 1 being the best, number 2 being the second best, and so on. The hiring committee does not know the ranking system and suppose they hire three applicants at random. What is the probability they hire at least one of the two best applicants?

Solution

P(at least one of the two best applicants) = 1 - P(Not the best picked) = 1 - 3C3/5C3 = 1 - 1/5C2 = 1 - 1/10 = 0.9

Five job applicants are ranked according to their abilities with applicant number 1 being the best, number 2 being the second best, and so on. The hiring commit

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