Name
Class
Date
REVIEW!
Chapter 11
Lesson 11-1
Evaluate each expression.
1. 7!
2.
9!
3.
4!
4.
6C2
5. 8P5
6. 4C1
7.
7P3
8. 6P2
9. 7C3
For each situation, determine whether to use the fundamental counting principle, a
permutation or a combination. Then solve the problem.
10. How many different orders can you choose to read six of the nine books on your
summer reading list?
11. How many ways are there to choose five shirts out of seven to take to camp?
12. How many ways can you choose two out of four kinds of flowers for a bouquet?
13. You must answer exactly 12 out of 15 questions on a test. How many different ways
can you select the questions to answer?
14. To mark its eighth anniversary, Pizzeria Otto has a special coupon that offers the same
price on a pizza with any combination of the 8 original toppings. Each pizza must have
at least one topping. How many different kinds of pizza can be ordered with the
coupon?
15. You have 12 shirts, 10 pairs of pants, and 3 pairs of shoes packed for vacation. How
many outfits can you make of 1 shirt, 1 pair of pants, and 1 pair of shoes?
16.
You need to choose a science course, a math course, and an English course for next
year’s classes. If you can choose from 4 science courses, 3 math courses, and 6
English courses, how many possible schedules can you make of 1 science, 1 math, and
1 English course?
Lesson 11-2
17. A class rolled a number cube 40 times and recorded an even number 23 times.
a) What is the experimental probability of rolling an even number?
b)
P(odd number)
A card is chosen from a standard 52-card deck. Find each theoretical probability.
18. P(club)
19. P(4 of hearts)
20. P(ace)
Four cards are chosen from a standard 52-card deck. Find each theoretical probability.
21. P(all hearts)
22. P(all Aces)
Lesson 11-3
Classify each pair of events as dependent or independent.
23. A number cube is rolled; the number cube is rolled again.
24. A marble is chosen out of a bag; another remaining marble is chosen out of the bag.
You toss a fair number cube twice. Find the Probability
25. P( even number, a number more than 5)
26. P( 3, 5)
A fair number cube is tossed. Find each probability.
27. P(6 or even)
28. P(even or more than 1)
29. P(even and prime)
Inside a bag of M&M’s there are 5 brown, 4 red, 3 blue, and 6 yellow. Inside a bag of Jelly
Beans there are 4 strawberry, 5 cherry, and 6 pineapple. If you choose one candy from each bag:
30. P(brown M&M, cherry jelly bean) 31. P(blue M&M, strawberry jelly bean)
Lesson 11-4
Use the table to find each probability.
32. P( junior)
Characteristics of Camp Counselors
Grade Level
Junior
Senior
Sophomore
33. P(female)
Male
18
25
8
Female
21
16
6
34. P(counselor a senior | male)
35. P(counselor a junior | counselor female)
36. P(counselor male | counselor a senior)
11.5 Measures of Central Tendency
Questions 26 -30 refer to the following data:
40, 90, 90, 92, 98, 100, 102, 110, 112
37. What is the MODE of the data?
38. What is the MEDIAN of the data?
39. What is the MEAN of the data?
40. Which number is most likely an outlier?
For question number 41: State the 5-number-summary for the data above and create a box-and-whisker
plot for the data. (worth 4 points)
41.
Min Value = ______
Q1 = ______
Median (Q2) = ______
Q3 = ______
Max Value = ______
11.6 Standard Deviation
Variance =

2
 (x  x )

n
2
Standard Deviation =
Questions 42-44 refer to the following data:
_____ 42. What is the MEAN of the data?
_____ 43.
What is the variance of the data?
_____ 44. What is the standard deviation of the
data?

(x  x )
2
n
 variance
12, 17, 15, 13, 9, 10, 12, 10, 15, 17
x
12
17
15
13
9
10
12
10
15
17
Sum:
Lesson 11-9
Sketch a normal curve for each distribution. Label the x-axis values at one, two,
and three standard deviations from the mean.
45. mean = 30, standard deviation = 4
46. mean = 45, standard deviation = 11
mean
47.
Approximately what percent of students are between
61 in. and 67 in. tall?
48. Approximately what percent of students are between 64
in. and 75 in. tall?
49. Approximately what percent of students are between 70
in. and 79 in. tall?
mean