Concept explainers
To use an example to explain the statement given.
Explanation of Solution
Given:
The given statement is “The event and its compound event are mutually exclusive”.
Calculation:
Let us define the mutually exclusive and complements of events, then explain whether an event and its complements are mutually exclusive.
Mutually exclusive event: Two events are said to be mutually exclusive if the outcomes both event are not common.
Complement of an event consist all the outcomes of the
To explain an event and its complement are mutually exclusive, consider an example of thronging a cube contain 6 faces are number from 1 to 6.
Thronging a cube coming even number on its face, the complement of even number in is odd number of in the face of cube.
Both are mutually exclusive events, since at time only one number is seen in the face of cube, it is either even or odd.
Therefore, the even number on the face of cube and its complement odd number on the face of cube are mutually exclusive events.
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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