question archive Suppose a 3-person committee with ranks 1 (President), 2 (Secretary), and 3 (Treasurer) is to be selected from a group of 3 freshman, 4 sophomores, 5 juniors, and 6 seniors
Suppose a 3-person committee with ranks 1 (President), 2 (Secretary), and 3 (Treasurer) is to be selected from a group of 3 freshman, 4 sophomores, 5 juniors, and 6 seniors
Subject:StatisticsPrice: Bought3
Suppose a 3-person committee with ranks 1 (President), 2 (Secretary), and 3 (Treasurer) is to be selected from a group of 3 freshman, 4 sophomores, 5 juniors, and 6 seniors. Leave your answers as fractions of products of whole numbers. Hint: Order matters.
(a) What is the probability that either a freshman or senior is elected president?
(b) What is the probability that at least one position is held by a sophomore?
(c) What is the probability that the committee is all seniors?
(d) What is the probability that the committee is exactly two juniors and a freshman?
