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Suppose a 15-person committee is made up of 1 freshman, 4 sophomores, 6 juniors, and 4...

Suppose a 15-person committee is made up of 1 freshman, 4 sophomores, 6 juniors, and 4 seniors. The
committee randomly selects four officers: President, Vice President, Secretary, and Treasurer.
a) What is the probability that the President is a senior?
b) What is the probability that the President is a senior, and the remaining officers are juniors?
c) What is the probability that all of the officers are sophomores?
d) What is the probability that the President is freshman, Vice-President a sophomore, Secretary a junior,
and Treasurer is a senior?

Math   Statistics-And-Probability   
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