To identify:The probability that the sum is greater than 9 or less than 6. Two standard number cubes are rolled.
The probability is
Given information:
Two standard number cubes are rolled.
Explanation:
Consider the information.
The objective is to find the probability that the sum is greater than 9 or less than 6.
Two fair cubes are rolled.
So total possible cases are
The events that the sum is greater than 9 or less than 6 are mutually exclusive events
Mutually exclusive events:
Mutually exclusive events are those that cannot happen at the same time.
If C and Dare mutually exclusive events
Then
So,
First take the event C. Is sum is greater than 9.
So,
The number of favorable events is 6.
The total number of events is 36
Thus
Take the second event is sum is less than 6
So,
The number of favorable events is 10
The total number of events is 36
Thus.
Substitute the values in the probabilities to find
Therefore
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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