Explanation Given: A die is rolled. Approach: Formula for finding the probability is P ( A ) = n ( A ) n ( S ) ... ( 1 ) . Here P ( A ) denotes the probability of the event A, n ( A ) is the favourable outcome of A , n ( S ) is the total outcome. The events A and B are said to be mutually exclusive if P ( A ∪ B ) = 0 . The formula for the union of A and B when they are mutually exclusive is P ( A ∪ B ) = P ( A ) + P ( B ) ... ( 2 ) . Calculation: Let E be the event that the number is even and F be the event that the number is odd. ⇒ E ∩ F is the event that the number is an even and an odd number. n ( E ) = 3 , n ( F ) = 3 , n ( S ) = 6 n ( E ∩ F ) = 0 , n ( S ) = 6 Substituting n ( E ∩ F ) = 0 , n ( S ) = 6 in ( 1 ) To determine (b) To find: Whether the events E and F are mutually exclusive and the probability of the event E ∪ F

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Videos

Question

Chapter 14.2, Problem 23E

To determine

(a)

To find:

Whether the events E and F are mutually exclusive and the probability of the event E∪F

To determine

(b)

To find:

Whether the events E and F are mutually exclusive and the probability of the event E∪F

Expert Solution & Answer

Chapter 14 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 14.1 - CONCEPTS The Fundamental Counting Principle says...Ch. 14.1 - CONCEPTS The number of ways of arranging r objects...Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

(a) To find: Whether the events E and F are mutually exclusive and the probability of the event E ∪ F

Solution Summary: The author explains that the events E and F are mutually exclusive and the probability of the event is 1.

Concept explainers

Videos

(a)

To find:

Whether the events E and F are mutually exclusive and the probability of the event E∪F

(b)

To find:

Whether the events E and F are mutually exclusive and the probability of the event E∪F

Chapter 14 Solutions

(a) To find: Whether the events E and F are mutually exclusive and the probability of the event E ∪ F

Solution Summary: The author explains that the events E and F are mutually exclusive and the probability of the event is 1.

Concept explainers

Videos

(a) To find: Whether the events E and F are mutually exclusive and the probability of the event E∪F

(b) To find: Whether the events E and F are mutually exclusive and the probability of the event E∪F

Chapter 14 Solutions

(a)

To find:

Whether the events E and F are mutually exclusive and the probability of the event E∪F

(b)

To find:

Whether the events E and F are mutually exclusive and the probability of the event E∪F