Concept explainers
a.
To find how many two digit numbers can be formed.
a.
Answer to Problem 45PPE
Explanation of Solution
Given:
A two digit number is formed by selecting from the digits
Calculation:
Consider a two digit number is formed by randomly selecting the digits from 1, 2, 3, and 5 without replacement.
Using the definition of combination.
The selection of
Put the value
Therefore,
b.
To find the probability that a two-digit number contains a
b.
Answer to Problem 45PPE
Explanation of Solution
Given:
A two digit number is formed by selecting from the digits
Calculation:
The, two-digit number contains
The two-digit number contains both
Therefore the event is not mutually exclusive events.
If the event A, and B are not mutually exclusive event that is overlapping event (at least one outcomes is common to both event is called overlapping event).
Then the probability is defined as:
There are
To the probability that a two-digit number contains a 2 or a 5 is
c.
To find the probability that two-digit number is prime.
c.
Answer to Problem 45PPE
Explanation of Solution
Given:
A two digit number is formed by selecting from the digits
Calculation:
Here, there are
There are total
Out of
Then, the number of favorable outcomes is
Therefore, the probability of a two digits number is prime is calculated as follows:
Thus, the probability that two-digit number is prime is
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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