1. Chapter 4
Probability and Counting Rules
Section 4-2
Sample Spaces and Probability

2. Chapter 4
Probability and Counting Rules
Section 4-2
Exercise #13

3. A sum less than or equal to 4
Section 4-2 Exercise #13
If two dice are rolled one time, find the probability of getting these results.
A sum of 6
Doubles
A sum of 7 or 11
A sum greater than 9
A sum less than or equal to 4

4. A sum of 6
Doubles

5. A sum of 7 or 11
A sum of greater than 9

6. A sum less than or equal to 4

7. Section 4-2 Exercise #17

8. What is the probability that the student is going to graduate school?
b. What is the probability that the student is going to medical school?
c. What is the probability that the student will have to start paying back his deferred student loans after 6 months (i.e. does not continue in school)?

9. Section 4-2 Exercise #27

10. Chapter 4
Probability and Counting Rules
Section 4-3
The Addition Rules for Probability

11. If a show is selected at random, find these probabilities
Section 4-3 Exercise #17
Three cable channels (6, 8, and 10) have quiz shows, comedies and dramas. The number of each is shown here.
Type of show
Channel 6
Channel 8
Channel 10
Quiz show 5 2 1
Comedy 3 8
Drama 4
If a show is selected at random, find these probabilities
The show is a quiz show, or it is shown on channel 8.
The show is a drama or comedy.
The show is shown on channel 10, or it is a drama.

12. The show is a quiz show, or it is shown on channel 8.
Type of show
Channel 6
Channel 8
Channel 10
Total
Quiz show 5 2 1
Comedy 3 8
Drama 4

13. b. The show is a drama or comedy.
c. The show is shown on channel 10, or it is a drama.

14. Number of Tests Performed
Section 4-3 Exercise #19
The frequency distribution shown here illustrates the number of medical tests conducted on 30 randomly selected emergency patients.
Number of Tests Performed
Number of Patients 12 1 8 2 3
4 or more 5

15. The frequency distribution shown here illustrates the number of medical tests conducted on 30 randomly selected emergency patients. If a patient is selected at random, find these probabilities.
a. The patient has had exactly 2 tests done.
b. The patient has had at least 2 tests done.
c. The patient has had at most 3 tests done.
d. The patient has had 3 or fewer tests done.
e. The patient has had 1 or 2
tests done.

16. The patient has had exactly 2 tests done.
b. The patient has had at least 2 tests done.
c. The patient has had at most 3 tests done.

17. d. The patient has had 3 or fewer tests done.
e. The patient has had 1 or 2 tests done.

18. A king or a queen or a jack. A club or a heart or a spade.
Section 4-3 Exercise #23
If one card is drawn from an ordinary deck of cards, find the probability of getting the following:
A king or a queen or a jack.
A club or a heart or a spade.
A king or a queen or a diamond.
An ace or a diamond or a heart.
A 9 or a 10 or a spade or a club.

19. If one card is drawn from an ordinary deck of cards, find the probability of getting the following:
A king or a queen or a jack.
A club or a heart or a spade.

20. A king or a queen or a diamond.
An ace or a diamond or a heart.
A 9 or a 10 or a spade or a club.