Concept explainers
(a)
To find: The probability that either or both numbers showing are 6’s or their sum is greater than
(a)
Answer to Problem 3ST
The probability that either or both the numbers shown are 6's or their sum is greater than
Explanation of Solution
Given information:
The given information istwo dice are rolled.
Calculation:
Let A be the event that either or both numbers showing are 6’s and be the event that their sum is greater than
For any two events
In this case,
We will first find the probability that either or both the numbers showing are 6's.The sample space for such an event is
There are
The sample space for such an event
There are
The sample space for the event
is
There are 7 favorable outcomes. Thus,
Substitute the values obtained in
Therefore, the probability that either or both the numbers shown are 6's or their sum is greater than
(b)
To find:The twoeventsare independent.
(b)
Answer to Problem 3ST
The two events are notindependent.
Explanation of Solution
Given information:
The given information is two dice are rolled.
Calculation:
The probability of two independent events
In the given situation,
Therefore, we can say that two events are notindependent.
(c)
To find:The two events are mutually exclusive.
(c)
Answer to Problem 3ST
The two events are not mutually exclusive.
Explanation of Solution
Given information:
The given information is two dice are rolled.
Calculation:
Two events are called mutually exclusive if they have no elements in common.
For such events,
In this case,
Therefore, the two events are not mutually exclusive.
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
College Algebra (6th Edition)
Intermediate Algebra (7th Edition)
Elementary and Intermediate Algebra
Elementary Algebra: Concepts and Applications (10th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education