The offices of president, vice president, secretary, and treasurer for an enviro

Question

The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Nine of the candidates are members of the debate team. (a) What is the probability that all of the offices are filled by members of the debate team? (b) What is the probability that none of the offices are filled by members of the debate team? (a) P (all offices filled by debate team members) = (Round to three decimal places as needed.) (b) P (no offices filled by debate team members) = (Round to three decimal places as needed.)

Explanation / Answer

a) P(All offices filled by debate team members ) = 4/9 = 0.444

b) P(All offices filled by debate team members ) = 4/6 = 0.667

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