FINAL REVIEW - Ch. 11 Probability #1
9th Grade Algebra 1A / Algebra 1 Beta (Ms. Dalton)
Student Name/ID:
Instructor Note:
SHOW ALL WORK!
1. A bag with marbles is shown below. ( marbles are black, is white, and
chosen from the bag at random. What is the probability that it is black?
are grey.) A marble is
Write your answer as a fraction in simplest form.
2. A box is filled with
brown cards, yellow cards, and green cards. A card is chosen at random from
the box. What is the probability that it is a brown or a green card?
Write your answer as a fraction in simplest form.
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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3. A spinner with
equally sized slices is shown below. ( slices are white, is grey, and are black.)
The dial is spun and stops on a slice at random. What are the odds in favor of landing on a white slice?
4.
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on
the first toss, followed by two tails). The outcomes are listed in the table below. Note that each outcome
has the same probability.
For each of the three events below, check the outcome(s) that are contained in the event. Then, in the last
column, enter the probability of the event.
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5. An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots).
Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added
together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
Event
The sum is greater than
The sum is an odd number.
Write your answers as exact fractions.
6. A bag with
marbles is shown below. ( marbles are grey, are white, and
chosen from the bag at random. What is the probability that it is grey?
are black.) A marble is
Write your answer as a fraction in simplest form.
7. A bag has brown marbles and yellow marbles. Half of the yellow marbles are made of glass. A
marble is selected at random from the bag. What is the probability that it is a yellow, glass marble?
Write your answer as a fraction in simplest form.
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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8. A bag with
marbles is shown below. ( marbles are grey, is black, and are white.) A marble is
chosen from the bag at random. What are the odds in favor of choosing a grey marble?
9.
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on
the first toss, followed by two tails). The outcomes are listed in the table below. Note that each outcome
has the same probability.
For each of the three events below, check the outcome(s) that are contained in the event. Then, in the last
column, enter the probability of the event.
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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10. An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted
spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are
added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event
Event
The sum is greater than
The sum is not divisible by
and not divisible by
.
Write your answers as exact fractions.
11. The Venn diagram shows the memberships for the Volleyball Club and the Softball Club.
Use the diagram to answer the questions below.
(a) How many people play Volleyball?
(b) How many people play both Volleyball and Softball?
(c) How many people play Softball but not Volleyball?
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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12. The Venn diagram shows the memberships for the Science Club and the Computer Club.
Use the diagram to answer the questions below.
(a) How many members does the Computer Club have?
(b) How many students are in the Science Club but not in the Computer Club?
(c) How many students are members of both the Science Club and the Computer Club?
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13. A class is choosing a president, a vice president, and a treasurer.
There are three students running for president: Ann, Maria, and Linda.
There are two students running for vice president: Bob and John.
There are two students running for treasurer: Jessica and Amanda.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
(a) How many outcomes are there?
(b) How many outcomes have Ann or Maria being chosen?
(c) How many outcomes have both Bob and Jessica being chosen?
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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14. Charmaine must choose a size, a flavor of ice cream, and a topping for her ice cream dessert.
There are two sizes to choose from: small and medium.
There are two flavors to choose from: chocolate and strawberry.
There are two toppings to choose from: nuts and cherries.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
(a) How many outcomes are there?
(b) How many outcomes do not have strawberry ice cream being chosen?
(c) How many outcomes have both chocolate ice cream and cherries being chosen?
15. Keith must choose a shirt, a pair of pants, and a cap for today's outfit. He has
and
shirts,
pairs of pants,
caps to choose from. How many different outfits can he make?
16. The Wongs are selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are
beds,
desk, and
dressers to select from. How many different furniture sets could they select?
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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17. Hale High School is going to select a committee. The committee will have a faculty member, a male
student, a female student, a parent, and a school board member.
Here are the positions and the people interested in each.
Position
Faculty Member
Male Student
Female Student
Parent
People Interested
Ms. Bailey, Mr. Parker, Dr. Brooks
Miguel, Dan, Chang
Lena, Amy, Debra
Mrs. Lopez, Mr. Morris, Ms. Cook, Dr. Phillips
School Board Member Ms. Hughes, Mrs. Nelson, Dr. Evans
Based on this list, how many ways are there to fill the five committee positions?
18. Monroe High School is going to select a committee. The committee will have a faculty member, a male
student, a female student, a parent, and a school board member.
Here are the positions and the people interested in each.
Position
Faculty Member
Male Student
Female Student
Parent
People Interested
Dr. Kim, Mrs. Bennett, Mr. Reed, Ms. Walker
Alan, Charlie, Jose, Ivan, Milan, Dan
Heather, Nicole, Tammy, Keisha, Melissa, Linda
Mr. Bell, Ms. Stewart, Mrs. Carter
School Board Member Mr. Ramirez, Mrs. Henderson, Ms. Garcia, Dr. Chen
Based on this list, how many ways are there to fill the five committee positions?
19. Evaluate.
Simplify your answer as much as possible.
ALEKS FINAL REVIEW - Ch. 11 Probability #1 - 05/22/2015 08:52 AM EDT - Copyright © 2015 UC Regents and ALEKS Corporation.
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20. Evaluate.
Simplify your answer as much as possible.
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FINAL REVIEW - Ch. 11 Probability #1 Answers for class 9th Grade
Algebra 1A / Algebra 1 Beta
1.
2.
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5.
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9.
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10.
11.
(a) How many people play Volleyball?
(b) How many people play both Volleyball and Softball?
(c) How many people play Softball but not Volleyball?
12.
(a) How many members does the Computer Club have?
(b) How many students are in the Science Club but not in the Computer Club?
(c) How many students are members of both the Science Club and the Computer Club?
13. (a)
outcome(s)
(b)
outcome(s)
(c)
outcome(s)
14. (a)
outcome(s)
(b)
outcome(s)
(c)
outcome(s)
15.
16.
17.
18.
19.
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20.
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