Is the statment below correct? Are those mutally inclusive and non mutally inclusive?  "The additive counting principle was used to figure out how many different combinations of dishes the guests could pick. They first identified three mutually exclusive events: guests could choose a chicken dish and two other dishes, a beef dish and two other dishes, or a vegetarian dish and two other dishes. Each of these events had a specific probability, based on the theoretical probability calculations, that guests would select them. The king and queen then used the additive counting principle to determine the total number of possible combinations of dishes that could be selected from these three events. Next, they identified three non-mutually exclusive events: guests could choose one of each type of dish, two chicken dishes and one other dish, or two beef dishes and one other dish. These events were not mutually exclusive because guests could choose one of each type of dish and also choose one of the other two events.   "

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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Is the statment below correct? Are those mutally inclusive and non mutally inclusive? 

"The additive counting principle was used to figure out how many different combinations of dishes the guests could pick.

They first identified three mutually exclusive events: guests could choose a chicken dish and two other dishes, a beef dish and two other dishes, or a vegetarian dish and two other dishes. Each of these events had a specific probability, based on the theoretical probability calculations, that guests would select them.

The king and queen then used the additive counting principle to determine the total number of possible combinations of dishes that could be selected from these three events.

Next, they identified three non-mutually exclusive events: guests could choose one of each type of dish, two chicken dishes and one other dish, or two beef dishes and one other dish. These events were not mutually exclusive because guests could choose one of each type of dish and also choose one of the other two events.   "

 

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