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2. ( points) Five applicants apply for two jobs. Applicants A and B are male; applicants C, D, and E are female. The personnel officer

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2. ( points) Five applicants apply for two jobs. Applicants A and B are male; applicants C, D, and E are female. The personnel officer selects two applicants at random to fill the two jobs. (Each candidate is equally electable a) List all possible combinations of the five applicants for the two different jobs. b) If the two jobs are different, and E1 denotes the collection of outcomes where the success- ful job applicants include at least one male, what is P(E1)? c) If the two jobs are different, and E2 denotes the collection of outcomes where the success- ful job applicants include exactly one male, what is P(E2)

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