To identify: The two events that are mutually exclusive.
In both these case none of the pair is common. This implies that,
Explanation:
Objective is to describe two events that are mutually exclusive.
For instance:
The two events that are mutually exclusive are:
Consider the experiment, rolling two dice
Event 1: The number on both dice is equal.
Event 2: The sum of numbers on two dice is odd.
Both these events are mutually exclusive.
Two fair cubes are rolled, so, the total possible cases are
Since mutually exclusive are those that cannot happen at the same time.
If C and D are mutually exclusive events, then
First event C is that numbers are equal
So.
That means there are 6 favorable cases.
Therefore,
Second event D is sum is odd.
So, it can be any number from
There are 19 favorable cases.
Therefore,
In both these case none of the pair is common. This implies that,
So, these are mutually exclusive events.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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