16-17 7ACC - REVIEW for Probability test

Name _________________________________________
16-17 7ACC - REVIEW for Probability test
Date ___________________
Part I: No Calculators
1) You spin the spinner 72 times. How
many times would you expect to land on
‘B’?
A. 2
B. 9
2) Isabelle has a pair of white and a pair
of black pants. She has a red, a yellow, a
pink, and a green shirt. She has 2
different types of shoes. How many
different outfits (pants, shirt, shoes)
can Isabelle make from these choices?
A.
B.
C.
D.
C. 18
D. 24
3) A bag contains 7 red cubes and 3 green
cubes. Diana selects a cube, does not
replace it, and then selects another
cube. What is the probability she
selects two red cubes?
8
12
16
24
4) If Brian spins the spinner 80 times, how
many times should he expect the spinner
to land on a number greater than 3?
A. 20 times
42
A)
90
49
C)
90
42
B)
100
49
D)
100
B)
1
2
C)
1
D) 2
1
B. 30 times
7
2
C. 40 times
6
3
D. 50 times
5) What is the probability that something
will definitely happen?
A) 0
8
5
4
6) What is the probability of an
impossibility?
A) 0
B)
1
2
C)
1
D) 2
7) Veronica has a box that contains 24 pictures of her family, 6 pictures of her dog, and
12 pictures of her friends. Veronica randomly chooses one picture from the box.
Which statement best describes what will likely occur?
A. She will definitely pick a picture of her family.
B. She will most likely pick a picture of her family.
C. She is equally likely to pick a picture of her family or of her dog.
D. She is equally likely to pick a picture of her family, of her dog, or of her friends.
8) Rachel has 5 silver bracelets and 2 gold bracelets in her jewelry box. Rachel randomly
picks one bracelet. Which statement best describes which bracelet she will probably
pick?
A. She probably will pick a gold bracelet.
B. She definitely will pick a gold bracelet.
C. She probably will pick a silver bracelet.
D. She definitely will pick a silver bracelet.
9) There are 500 students in Andrew’s school. Andrew wants to survey a sample of
students to determine the most popular school subject. Which sampling method is the
best to use to predict the most popular school subject?
A.
B.
C.
D.
randomly select 50 students from the student list of 500
randomly select 10 students having lunch in the cafeteria
select the first 50 girls entering the auditorium for an assembly
select the first 25 students leaving the building after school
10) Joe’s Video Store has received a shipment of DVDs.
The table shows the number of each type of DVD
in the shipment.
Joe selects a DVD at random from the shipment.
What is the probability that he chooses a western?
A)
1
4
B)
1
9
C)
9
21
D)
DVD SHIPMENT
Type
9
30
Number of
DVDs
Action
12
Science Fiction
3
Comedy
6
Western
9
11) The school bus Evie rides is scheduled to arrive at her stop at 8:20 a.m. each day. The
table shows the actual arrival times of the bus for sevdeal days that were randomly
selected over the past few months. Based on these data, what is the probability that
the bus will arrive at Evie’s stop before 8:20 a.m. tomorrow?
A.
3
10
B.
1
3
C.
7
20
D.
13
20
12) How many different two-digit numbers can be formed from the digits 1, 2, 3, and 4 if
each digit is used only once?
A. 6
B. 7
C. 12
D. 24
13) A bag of marbles is shown below. If you pick from the bag 180 times, how many times
should you expect to pick a white marble?
A. 30 times
B. 60 times
C. 90 times
D. 50 times
14) A number cube is a cube with each side labeled with a number 1 through 6. Debbie
rolled a number cube 60 times. The tally table shows the number of times each
number, 1 through 6, appeared. Before her experiment,
Debbie expected each number on the cube to
appear an equal number of times. Which
statement best compares the results of
Debbie’s rolls with her expectations?
A. Debbie rolled more 5s than expected.
B. Debbie rolled fewer 4s than expected.
C. Debbie rolled more 3s than expected.
D. Debbie rolled fewer 2s than expected.
15) An owner of a small store knows that in the last week 54 customers paid with cash,
42 paid with a debit card, and 153 paid with a credit card. Based on the number of
customers from last week, which fraction is closest to the probability that the next
customer will pay with cash?
A.
1
5
B.
1
4
C,
1
3
D.
1
2
16) Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number
cube 300 times. Which result is most likely?
A. Cassie will roll a 1 or a 2 about 50 times.
B. Cassie will roll a 1 or a 2 exactly 50 times.
C. Cassie will roll an even number about 150 times.
D. Cassie will roll an even number exactly 150 times.
Part 2 - You may use calculators
17) The graph shows the type of instruments played
by students in the school. Janelle is chosen to
perform a solo. Which value best represent the probability
that she plays a stringed instrument?
A) 0.08
B) 0.19
C) 0.25
D) 0.33
18) Erin wants to make a sandwich from the main
ingredients shown in the table below.
Create an outcome space which shows all the possible
ways Erin can make a sandwich using one type of bread and
one main ingredient.
Bread
Main Ingredient
Sourdough
(S)
Peanut Butter
(P)
Wheat (W)
Ham (H)
Rye (R)
Turkey (T)
Egg Salad (E)
19) A certain state is considering changing the arrangement of letters and numbers on its
license plates. (There are 26 letters and 10 digits.) The two options the state is
considering are:

Option 1: three letters followed by a three-digit number with repetition of both
letters and digits allowed. (Examples: TGT889 or RWP025)
Option 2: four letters followed by a two-digit number without repetition of either
letters or digits (Example: TYPE24
(Zero may be chosen as the first digit of the number in either option.)

Which option will enable the state to issue more license plates?
Show your work.
20)
A bag contains 15 blocks, some red and some yellow. You pick a block from the
bag, note the color, and return the block to the bag. You do this 300 times. You pick a
yellow block 83 times. How many yellow blocks would you predict are in the bag? Show
your work or explain your reasoning.
21) A bag contains the following letters:
M A T H E M A T I C S. Jessie reaches into
the bag and selects a letter. Without replacing the letter, she reaches into the bag to
select another letter.
What is the probability that both letters are vowels?
Show your work!
22) You throw a dart at the board at the right. What is the
probability that you land in the shaded area?
6 in.