Name
Date
Period
Math 7 Unit 6 Study Guide — “Probability”
1. If Joe had an 80% chance of a successful outcome on his science project, what is the probability of
this project being successful?
a) certain
b) equally likely and unlikely (even chance)
c) likely
d) unlikely
2. If Maria’s chance of winning the game was unlikely, then the probability is?
a) 0
b) 0.5
c) 1.0
d) .25
For problems 3 – 4, You have thirty-six tiles numbered 1 through 36. Eight of the tiles are red,
twelve of the tiles are purple, six of the tiles are green, and ten of the tiles blue. Find the
theoretical probability of the following event:
3. P(purple)?
a) 2
b)
1
6
c)
1
3
d)
1
2
b)
7
9
c)
3
4
d)
18
36
4. P(even or blue)?
a)
6
8
For problems 5-6. Suppose you roll a 6-sided number cube. Find each probability.
5. P(not 6)?
a)
1
6
b)
3
6
c)
2
6
d)
5
6
6. P(5 or higher)?
a)
1
3
b)
3
6
c)
3
4
d)
1
2
For problems 7-8, Josh works at the local deli making sandwiches. Each sandwich has 1 type of cheese
and 1 type of meat on bread. The deli has white, wheat, and rye bread available. The meat choices are
turkey and ham, and the cheese choices are American and Swiss. Use the tree diagram to answer the
question below.
7. How many possible sandwiches can Josh make at the deli?
e) 3
f) 12
g) 24
h) 36
8. How many of the sandwich combinations will contain ham?
a) 3
b) 6
c) 18
9. During an experiment, the two spinners below will be spun.
Make a Tree Diagram.
d) 36
10.
There are 15 girls and 10 boys in Ms. Garcia’s class. Each day she randomly asks on student to
take attendance. In 125 school days, which is the best prediction for the number of times that the
student will be a girl?
a) 75
b) 50
c) 100
d) 150
11.
John will roll a fair number cube a total of 72 times. What is a good prediction for the number of
times that the number cube will land on a 5?
a) 36
b) 48
c) 12
d) 360
12.
Isaiah is using the video game controller shown. The controller comes in 5 colors:; red, blue,
green, orange, and yellow. It has either a soft gel or hardcover case. What is the number of possible
outcomes for the controller selections?
a) 5
b) 7
c) 10
d) 25
13.
A car is sold in three models: EV, SV, and LV. It comes in six colors: black, white, red, silver, lime,
or blue. How many different ways are there to choose one model and one color of that car?
a) 18
14.
b) 9
c) 15
d) 21
What is the probability of the arrow landing on a composite number in single spin?
a)
1
3
b)
1
2
c)
3
5
d)
1
6
15.
A coin is tossed one time, and a 4-color spinner, shown below, is spun once. What is the
probability that the coin will show tails and the spinner will not point to green?
Red
Green
White
Blue
a)
1
2
b)
1
4
c)
1
8
d)
3
8
Jill has 6 blue Orbeez, 3 green Orbeez, and 1 white Orbeez in a
bag.
16.
Jill draws an Orbeez without looking from the bag. What is the probability that the Orbeez is
either green or white?
a)
1
3
b)
2
5
c)
2
3
d)
3
4
17.
There are 18 members in the Gotta Dance Group on America’s Best Dance Crew. Eight of the
members are girls, 10 are boys and of those, 9 have siblings who are in elementary school. The
producer of the show wants to choose one representative at random from the Gotta Dance Group to
serve as a spokesperson for the next season of the show. What is P(girl or sibling in elementary
school)?
a)
8
18
b)
9
18
c)
17
18
d)
8
36
21.
For which possible outcome did the results of the class experiment match the theoretical
probability?
a) 3 heads
b) 2 heads and 1 tail
c) 1 head and 2 tails
d) 3 tails