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9 - Probability Gateway

 
Use the concepts of probability to answer the following questions:
 

 1. 
These cards are used to play
a game between two players.

If Paula draws one card at random, what is the probability it will be a card with a star?		mc001-1.jpg
A)
mc001-4.jpg
B)
mc001-5.jpg
C)
mc001-6.jpg
D)
mc001-7.jpg
 

 2. 
The chart shows the pizza menu
for the local pizza parlor.

Which of the following shows the total number of ways George can buy a pizza with one topping?		mc002-1.jpg
A)
(4 ´ 4) + 3
B)
(4 ´ 3) + (4 ´ 3)
C)
4 + 3 ´ 4
D)
4 ´ 3 ´ 4
 

 3. 
For a trip, Tawnie packed one red sweater, one striped blouse, one white blouse, one blue skirt, and one black skirt. Which shows all the possible ways that she could combine one sweater, one blouse, and one skirt?
A)
mc003-1.jpg
C)
mc003-3.jpg
B)
mc003-2.jpg
D)
mc003-4.jpg
 

 4. 
Coy’s ice-cream parlor makes sundaes with chocolate or vanilla ice cream and strawberry, chocolate, or caramel topping. Which tree diagram shows all possible combinations of sundaes with one flavor of ice cream and one topping?
A)
mc004-1.jpg
C)
mc004-3.jpg
B)
mc004-2.jpg
D)
mc004-4.jpg
 

 5. 
How many different ways could Barbara arrange these four stickers in this rectangle?
mc005-1.jpg
A)
12
B)
4
C)
24
D)
8
 

 6. 
Kili has 2 white towels, 3 white towels, and 4 orange towels in a bag.  What is the probability that the first towel chosen at random from the bag will be orange?
A)
mc006-3.jpg
B)
mc006-4.jpg
C)
mc006-5.jpg
D)
mc006-6.jpg
 

 7. 
Nori picks one bill at a time from a bag
and replaces it. He repeats this process
100 times and records the results in the table.

Based on the table, which bill has an experimental probability of mc007-1.jpg for being drawn from the bag next?
Value
Frequency
$1
28
$5
14
$10
56
$20
2
A)
$1
B)
$10
C)
$15
D)
$20
 

 8. 
Quillan has 3 pairs of jeans, 2 sweaters, and 4 pairs of shoes. How many different combinations of a pair of jeans, a sweater, and a pair of shoes does he have?
A)
9
B)
6
C)
12
D)
24
 

 9. 
Paul is playing a game with a spinner
like the one pictured to the right.

If the sections are congruent, what is the probability that on Paul’s next spin the arrow will land on a section labeled yellow?		mc009-1.jpg
A)
mc009-3.jpg
B)
mc009-4.jpg
C)
mc009-5.jpg
D)
mc009-6.jpg
 

 10. 
Three families are playing a board game                               Family Members
and need to form teams of 3 players with 1 player from each family.  How many different teams containing 1 member from each family could be formed?
Smith
Family
Guevara
Family
Yates
Family
Donald
Theresa
Phillipi
Felix
Callie
Rex
Leslie
Yolanda
Nicki
A)
9
B)
3
C)
18
D)
27
 

 11. 
On your first draw, what is the probability of drawing a orange card, without looking, from a shuffled deck containing 7 orange cards, 12 red cards, and 10 gray cards?
A)
33%
B)
24%
C)
41%
D)
34%
 

 12. 
This table shows the number of marbles                             Marbles in a Bag
in a bag by color. If one marble is randomly
selected from the bag, what is the probability
that it will be a Purple or a White marble?
Color
Number
Purple
5
Black
16
Silver
16
White
13
                                                  
A)
16%
B)
18%
C)
26%
D)
36%
 

 13. 
The spinner below is used in a game.



In a single spin, what is the probability of the arrow landing on a Yellow or Green space?		mc013-1.jpg
A)
mc013-4.jpg
B)
mc013-5.jpg
C)
mc013-6.jpg
D)
mc013-7.jpg
 

 14. 
In Mrs Wilson's pond, 9 out of 10 fish are goldfish. If 30 fish were randomly chosen from the pond, which is most likely the number of goldfish chosen?
A)
3
B)
29
C)
3
D)
27
 

 15. 
A restaurant’s menu features 6 appetizers, 6 entres, and 2 desserts. A customer orders only one appetizer, only one entre, and only one dessert.  How many different meals can be ordered?
A)
14
B)
38
C)
36
D)
72
 

 16. 
The probability that the Missouri River will flood in any given year has been estimated from 200 years of historical data to be one in five. This means:
A)
The Missouri River will flood every fifth year.
B)
In the next 100 years, the Missouri River will flood exactly 20 times.
C)
In the last 100 years, the Missouri River flooded exactly 20 times.
D)
In the next 100 years, the Missouri River will flood about 20 times.
 

 17. 
All human blood can be “ABO” typed as belonging to one of A, B, O, or AB types. The actual distribution varies slightly among different groups of people, but for a randomly chosen person from North America, the following are the approximate probabilities:

Blood Type
O
A
B
AB
Probability
.42
.38
.16
.04

Consider an accident victim with type B blood. She can only receive a transfusion from a person with type type B or type O blood. What is the probability that a randomly chosen person will be suitable donor?
A)
about .42
B)
about .58
C)
about .16
D)
about .07
 

 18. 
The chance that a person will contract AIDS after a sexual contact with an infected partner has been estimated to be 1/6. This means:
A)
A person will be infected after exactly 6 sexual contacts with infected partners.
B)
Of 1000 people having sexual contacts with infected partners, exactly 167 will become infected.
C)
Of 200 people having sexual contacts with infected partners, about 33 will become infected.
D)
In exactly 17% of all sexual contacts with infected partners, the infection will spread.
 

 19. 
In a sample of 50 randomly selected students at East River high school, 38 students eat breakfast every morning. There are 664 students in the school. Using these results, predict the number of students that eat breakfast.
A)
76
B)
127
C)
253
D)
505
 

 20. 
A spinner is divided into eight equal
regions as shown in the diagram to the right.





Which event is least likely to occur in one spin?		mc020-1.jpg
A)
The arrow will land in a red or white area.
B)
The arrow will land in a orange or red area.
C)
The arrow will land in a orange or blue area.
D)
The arrow will land in a blue or red area.
 
 
Use the rules of probability to solve the following problems:
 

 21. 
Felicia surveys a room of 26 adults and finds that of the 15 men, 6 are married and 9 are single. Of the 11 women, 7 are married and 4 are single. She randomly assigns each person a number and places a card with each number in a hat. What is the probability that Felicia will select a card with a number assigned to a single woman?
A)
mc021-3.jpg
B)
mc021-4.jpg
C)
mc021-5.jpg
D)
mc021-6.jpg
 

 22. 
One bag contains 6 brown marbles and 5 white marbles, and a second bag contains 5 brown marbles and 5 white marbles.  If Markia randomly draws one marble from each bag, what is the probability that they are both brown?
A)
mc022-2.jpg
B)
mc022-3.jpg
C)
mc022-4.jpg
D)
mc022-5.jpg
 

 23. 
Huan is using the two spinners
shown below to play his new board game.  He spins the arrow on each spinner once.  Huan uses the first spinner to determine how many spaces to move.  He uses the second spinner to determine whether his move from the first spinner will be forward or backward.

Find the probability that Huan will move fewer than 3 spaces and backward.		mc023-1.jpg
A)
3/8
B)
1/4
C)
1/2
D)
3/4
 

 24. 
The probabilities that Osami will try out for various sports and team positions are shown in the chart below.
mc024-1.jpg
Osami will definitely try out for either soccer or softball, but not both -- as she needs to keep up her grades.. The probability that she will try out for softball and try out for catcher is 42%.   What is the probability that Osami will try out for soccer?
A)
0.60
B)
0.40
C)
0.85
D)
0.68
 

 25. 
Some books are laid on a desk.  Two are English, three are mathematics, one is French, and four are social studies.  Theresa selects an English book and Isabelle then selects a social studies book.  Both girls take their selections to the library to read.  If Truman then selects a book at random, what is the probability that he selects an English book?
A)
1/8
B)
1/5
C)
1/2
D)
2/9
 



 
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