To explain: The given two events are mutually exclusive or not.
The two events when two dice are rolled are one of the numbers is one less than the other and the sum being odd are not mutually exclusive events
Given:
Two dice are rolled and two events are observed
1. One of the numbers obtained is one less than the other.
2. The sum is odd.
Concept used:If two events are mutually exclusive then they cannot occur simultaneously.
Explanation:When two cubes are rolled, there are a total of 36 possible outcomes. When one number is less than another, then one of the numbers is even and other number is odd. The sum of even and odd numbers is always odd. Thus, both given events one number is 1 less than other and sum being odd can exist simultaneously. For example (2,3) satisfy both events. Thus, they are not mutually exclusive.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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