The general manager, marketing director, and 3 other employees of Company A are hosting a visit »y the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely. (a) What is the probability that the general manager is next to the vice president? (b) What is the probability that the marketing director is in the leftmost position? (c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The general manager, marketing director, and 3 other employees of Company A are hosting a visit
by the vice president and 2 other employees of Company B. The eight people line up in a random
order to take a photo. Every way of lining up the people is equally likely.
(a) What is the probability that the general manager is next to the vice president?
(b) What is the probability that the marketing director is in the leftmost position?
(c) Determine whether the two events are independent. Prove your answer by showing that one
of the conditions for independence is either true or false.
Transcribed Image Text:The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely. (a) What is the probability that the general manager is next to the vice president? (b) What is the probability that the marketing director is in the leftmost position? (c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.
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