Lesson 16.1 Skills Practice
Name________________________________________________________ Date__________________________
Rolling, Rolling, Rolling ...
Defining and Representing Probability
Vocabulary
Write the term from the box that best completes each statement.
experiment probability event equally likely outcome sample space simple event
1. A(n)
event
is one or a group of possible outcomes for a given situation.
2. A list of all possible outcomes of an experiment is called a(n)
3. A(n)
experiment
sample space
.
is a situation involving chance that leads to results.
4. The measure of the likelihood that an event will occur is its
5. The result of an experiment is a(n)
outcome
6. An event consisting of one outcome is a(n)
probability
.
.
simple event
.
7. When the probabilities of all the outcomes of an experiment are equal, then the probabilities
equally likely
.
are called
Problem Set
List the sample space for each experiment.
1. Peter writes each day of the week on a slip of paper and puts all of the slips of paper in a bag.
© 2011 Carnegie Learning
Peter chooses one slip of paper from the bag.
The sample space is {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}.
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Lesson 16.1 Skills Practice
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2. Tina spins the spinner shown one time.
4
1
3
2
The sample space is {1, 2, 3, 4}.
3. A drawer contains 4 black socks, 2 brown socks, and 2 blue socks. Samuel picks one sock from
the drawer.
The sample space is {black sock, brown sock, blue sock}.
4. Stefan picks one of the colors in the American flag.
The sample space is {red, white, blue}.
5. Jonetta tosses a coin two times.
The sample space is {HH, HT, TH, TT}.
6. Roni spins the spinner shown one time.
A
D
4
1
3
The sample space is {A, B, C, D, 1, 2, 3, 4}.
922 • Chapter 16 Skills Practice
C
2
© 2011 Carnegie Learning
B
Lesson 16.1 Skills Practice
page 4
Calculate each probability.
13. Eva spins the following spinner one time. Calculate P(even number).
4
1
3
2
_________________________________________
     __  __ 
an even number can
occur ​ 2 ​ 5 ​ 1 ​ 
 ​ 5
P(even number) 5 ​  number of times
     
4 2
total number of outcomes
14. Clare spins the following spinner one time. Calculate P(vowel).
B
C
A
D
4
1
3
2
_________________________________
    __ 
a vowel can occur
 ​5 ​ 1 ​ 
P(vowel) 5 ​  number of times
    
total number of outcomes
8
15. Emmett spins the following spinner one time. Calculate P(letter).
C
A
D
4
1
3
2
_________________________________
    __  __ 
a letter can occur
 ​5 ​ 4 ​ 5 ​ 1 ​ 
P(letter) 5 ​  number of times
    
total number of outcomes
8 2
924 • Chapter 16 Skills Practice
© 2011 Carnegie Learning
B
Lesson 16.1 Skills Practice
page 5
Name_________________________________________________________ Date__________________________
16. Peter writes the days of the week on slips of paper and puts the slips of paper in a bag. Peter
chooses one slip of paper from the bag. Calculate P(weekend).
________________________________________
    
__ 
number of times a weekend day can occur
 ​
    
P(weekend) 5 ​ 
total number of days 5 ​ 2 ​ 
7
17. A drawer contains 4 black socks, 2 brown socks, and 2 blue socks. Samuel picks one sock from
the drawer. Calculate P(blue sock).
_________________________________________
    __  __ 
number of times a blue sock can be picked 2 1
 ​5 ​    ​5 ​   ​ 
    
P(blue) 5 ​ 
total number of socks
8 4
18. Javier rolls a number cube one time. Calculate P(number greater than 3).
_________________________________________________
     __  __ 
number of times a number greater than 3 can occur 3 1
 ​5 ​   ​ 5 ​   ​ 
     
P(number . 3) 5 ​ 
total number of outcomes
6 2
19. Alice rolls a number cube one time. Calculate P(number less than 7).
_____________________________________________
     __ 
a number less than 7 ​
can occur 5 ​ 6 ​ 5 1
     
P(number , 7) 5 ​  number of times
total number of outcomes
6
© 2011 Carnegie Learning
20. Jeanine spins the following spinner one time. Calculate P(shape with exactly 4 sides).
_____________________________________________
     __  __ 
number of times a shape with 4 sides can occur 2 1
 ​5 ​   ​ 5 ​   ​ 
P(4 sides) 5 ​ 
     
total number of outcomes
6 3
Chapter 16 Skills Practice • 925
Lesson 16.1 Skills Practice
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35. A cooler contains 5 bottles of lemonade, 7 bottles of water, and 6 bottles of iced tea. You choose
one bottle from the cooler without looking. Calculate P(iced tea).
__________________________________________
    
6  ​ 
5 ​ ___
number of times you can choose an iced tea
 ​
     
P(iced tea) 5 ​ 
total number of bottles
18
__ 
5 ​ 1 ​ 
3
36. A jar contains 14 quarters, 26 dimes, 11 nickels, and 7 pennies. You choose one coin from the jar
without looking. Calculate P(dime).
______________________________________
   
26  ​ 
5 ​ ___
58
5 ___
​ 13  ​ 
number of times you can choose a dime
 ​
    
P(dime) 5 ​ 
total number of coins
29
37. There are 4 cherry-flavored yogurts and 12 strawberry-flavored yogurts on a store shelf.
Margaret chooses a yogurt without looking. Calculate P(cherry).
______________________________________________
    
4  ​ 
5 ​ ___
16
5 __
​ 1 ​  
4
928 • Chapter 16 Skills Practice
© 2011 Carnegie Learning
number of times she can choose a cherry yogurt
 ​
     
P(cherry) 5 ​ 
total number of yogurts
Lesson 16.1 Skills Practice
page 9
Name_________________________________________________________ Date__________________________
38. Ronald ordered 12 DVDs. Four are historical, two are science fiction, and the rest are comedies.
When they arrive, he determines which DVD to watch first by choosing one from the order without
looking. What is the probability that the first DVD he watches is a comedy?
_____________________________________
   
6  ​ 
5 ​ ___
12
5 __
​ 1 ​  
number of times he can pick a comedy
 ​
    
P(comedy) 5 ​ 
total number of DVDs
2
39. There are 15 female kittens and 21 male kittens at a pet shelter. An advertising director randomly
chooses one kitten to be in a commercial. What is the probability that he chooses a male kitten?
_______________________________________
   
5 ___
​ 21  ​ 
36
5 ___
​  7  ​ 
number of times he can pick a male kitten
 ​
    
P(male) 5 ​ 
total number of kittens
12
40. A website selling backpacks offers 3 blue backpacks, 8 black backpacks, 2 red backpacks, and
2 green backpacks. Judy likes them all and tells her brother to randomly pick one for her. What is
© 2011 Carnegie Learning
the probability that he picks a black backpack?
_______________________________________________
    
5 ___
​ 8  ​ 
number of times he can choose a black backpack
 ​
     
P(black) 5 ​ 
total number of backpacks
15
Chapter 16 Skills Practice • 929