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HONORS GEOMETRY - CHAPTER 12
FINAL EXAM PREPARATION
NAME: ________________________ HR:_____
1. At a school festival, a colored chip is randomly drawn out of a bag and replaced. The table
below shows the results of 75 draws. Estimate the probability of choosing a green chip.
Gold
Outcome Blue Red Green Purple
18 14 16
8
19
Draws
a. 16%
b. 21.3%
c.
d.
18.7%
32%
.
2. Find the indicated probability
3. A bag contains orange, white, and purple marbles. If you randomly choose a marble from the
bag, there is a 23% chance of drawing an orange marble and a 48% chance of drawing a
white marble. What is the probability of choosing a purple marble? Express your answer as a
percent.
a.
c. 71%
b. 23%
d. 29%
4. Find the probability that a randomly chosen point in the circle also lies in the equilateral
triangle.
a. 28%
b. 41%
c. 56%
d. 45%
5. A grab bag contains 2 football cards and 8 basketball cards. An experiment consists of taking
one card out of the bag, replacing it, and then selecting another card. Determine whether the
events are independent. What is the probability of selecting a football card and then a
basketball card? Express your answer as a decimal.
a. not independent; 0.04
c. not independent; 0.64
b. independent; 0.16
d. independent; 0.18
HONORS GEOMETRY - CHAPTER 12
FINAL EXAM PREPARATION
NAME: ________________________ HR:_____
6. What is the probability of rolling a 5 on the first number cube and rolling a 6 on the second
number cube? Assume the number cubes are fair and have six sides. Express your answer as a
fraction in simplest form.
a.
c.
b.
d.
7. Harry has 5 markers in a backpack. One of them is pink and one is gray. What is the
probability Harry will reach into the backpack without looking and grab the pink marker and
then reach in a second time and grab the gray marker if:
(a) the first marker is not replaced?
(b) the first marker is replaced?
Express your answers as fractions in simplest form.
a.
c.
(a)
(a)
(b)
b.
(b)
d.
(a)
(a)
(b)
(b)
8. A movie company shows one of its movies to a group of viewers before the movie is released.
The results of one showing are in the table.
What is the approximate probability that a person is in the 45-54 age group given that they
liked the movie?
a. 1
c. 0.35
b. 0.52
d. 0.18
HONORS GEOMETRY - CHAPTER 12
FINAL EXAM PREPARATION
NAME: ________________________ HR:_____
9. The chance that a pregnancy results in twins is about 3%. The chance that a pregnancy results
in identical twins is about 0.3%. Given that a pregnancy results in twins, what is the
probability they are identical twins? Express your answer as a percent. If necessary, round
your answer to the nearest tenth of a percent.
a. 10%
c. 0.9%
b. 3.3%
d. 33%
10. Joyce asked 50 randomly-selected students at her school whether they have one or more
brothers or sisters. The table shows the results of Joyce’s poll.
Make a table of the joint and marginal relative frequencies. Express percentages in decimal
form.
a.
b.
c.
d.
HONORS GEOMETRY - CHAPTER 12
FINAL EXAM PREPARATION
NAME: ________________________ HR:_____
11. The table shows the distribution of male and female students and left- and right-handed
students in the math club. Find the probability that a female student selected at random is
left-handed. Express your answer as a fraction in simplest form.
Left-handed
Right-handed
2
35
Male
6
36
Female
a.
c.
b.
d.
12. A study compared the on-time performance for three bus companies. A table with the joint
and marginal frequencies of the results is shown.
Determine which company has the best on-time performance. Explain how to identify the
company that performed best.
a. Cross-Country Bus has the best on-time performance; Divide the joint relative
frequency of on-time arrival by the marginal relative frequency to find the best
performance.
b. Cross-Country Bus has the best on-time performance; Identify the greatest joint
relative frequency of on-time arrivals to find the best performance.
c. Red Dog Transit has the best on-time performance; Divide the joint relative
frequency of on-time arrival by the marginal relative frequency to find the best
performance.
d. Express Way Lines has the best on-time performance; Divide the joint relative
frequency of on-time arrival by the marginal relative frequency to find the best
performance.
13. The sections on a spinner are numbered from 1 through 8. If the probability of landing on a
given section is the same for all the sections, what is the probability of spinning a number
less than 4 or greater than 7 in a single spin?
a.
b.
c.
d.
HONORS GEOMETRY - CHAPTER 12
FINAL EXAM PREPARATION
NAME: ________________________ HR:_____
14. A movie company surveyed 1000 people. 229 people said they went to see the new movie
on Friday, 256 said they went on Saturday. If 24 people saw the movie both nights, what is
the probability that a person chosen at random saw the movie on Friday or Saturday?
a. 0.413
c. 0.461
b. 0.437
d. 0.485
15. If no digit appears more than once, how many 2-digit numbers can be formed from the digits
1, 3, 5, and 7?
a. 12
b. 6
c. 16
d. 4
16. There are 8 runners in a race. What is the probability that Abby, Becca, and Carmen place
first, second, and third in any order?
a.
b.
c.
d.
17. A committee is to consist of two members. If there are seven people available to serve on the
committee, how many different committees can be formed?
a. 35
b. 21
c. 42
d. 24
18. What is the probability that a point selected at random in the large rectangle will be
contained in either the square or the circle? Round your answer to the nearest hundredth.
9)A
10)A
11)B
CH 12 ANSWER KEY: 1) B
12)A
13)A
2) 0.6 3)D
14) C
4)B
15)A
5)B
16)B
6)C
17)B
7)D
18) 0.37
8)C