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.

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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is an example of something going on in your mind or body that is automatically controlled by math or has a math equation that goes with it?
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