Name:______________________ Period:__________
Felgenhauer
Krueger
Theoretical Probability and Simulations
Module 13 Study Guide HW
2. Two number cubes each have sides that are
labeled 1 to 6. Isis rolls the 2 number cubes.
What is the probability that the sum of the
numbers rolled will equal 4?
5. Flavia has a bag with 8 white balls, 9 red
balls, 14 green balls, and 10 orange balls. If
she chooses a ball from the bag without
looking, which color ball will Flavia be least
1
2
3
4
5
6
likely to choose?
1
2
A white
C green
3
B red
D orange
4
5
6
P(sum of 4) =______
6. Without looking, Tammy takes a marble out
of a bag that contains 10 red marbles, 15 green
marbles, and 25 blue marbles. She records its
color and returns the marble to the bag. If Tammy
repeats this process 90 times, how many times
can she expect to pull out a red marble?
Show your work:
2. Dustin has a spinner that is divided into
5 equal-size sections colored red, blue,
orange, white, and green. What is the
probability that Dustin spins pink on the next
spin?
_______________________________________
tammy can expect to pull out a red ______ times
3. Isidro flips a fair coin 40 times. How many
times can he expect heads to appear?
_______________________________________
4. A number cube has sides labeled 1 to 6.
Hannah rolls the number cube 18 times. How
many times can she expect to roll a number
less than 3?
_______________________________________
7. Alexander spins a spinner with four equallysized regions and flips a coin. How many
outcomes are possible?
_______________________________________
Name _______________________________________ Date __________________ Class __________________
8. Scarlett selects a card at random from a deck
that contains 18 red, 12 yellow, and 20 blue
cards. What is the probability that she does
not select a red card?
A
13
25
C
18
25
B
16
25
D
24
25
10. Glen has 2 colors of shoes (white and
Black), 3 shirts (T-shirt, hoodie, sweater), 3
pairs of pants (jeans, fleece, warm-up pants).
Make a tree diagram to show how many
different outfits Glen can make consisting of
1 pair of shoes, 1 shirt, and 1 pair of pants.
9. Bella rolls 2 4-sided number cubes and the
product is taken of the two numbers.
1
2
3
4
1
2
3
4
a) complete the table above to show the sample
space
a) What is the probability Glen picks out an
outfit that consists of a pair of jeans?
b) Find the following probabilities:
__________
P( product of 12) =
P(an odd product) =
_ b) What is the probability Glen picks out
P(a product greater than 4) =
white shoes, with a t-shirt, and jeans?
_________
c) What is the probability Glen picks out an
outfit that consists of either a hoodie or a
sweater? ____________
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Name _______________________________________ Date __________________ Class __________________
11. Teams for a scavenger hunt consist of 8
12.
members, each of which is given a number
(1-8). Each team is given a color or grey or
white. Judy made the spinners below as a
probability model for randomly choosing
teams and numbers.
Judy spins both spinners.
Name each theoretical probability
as a fraction in lowest terms.
P(red) = ____________
What is the probability Judy gets the Grey team
and assigned a number lower than 5?
P(not blue) = ____________
Write her probability as a fraction, decimal, and
percent,
P(green) =____________
___________
fraction
___________
decimal
P(yellow or red) = ____________
___________
percent
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65
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Name _______________________________________ Date __________________ Class __________________
Simran’s Simulation Results
13.
Numbers
Trial
Generated
# of
De-
Numbers
Trial
Generated
fective
14. Each student in a class of 25 students
wrote down a random single digit from 09. What is the predicted number of
students who wrote a digit that is greater
than 7?
# of
Defective
1
1, 1, 3, 3
6
4, 5, 5, 5
2
3, 4, 5, 5
7
3, 4, 4, 5
3
2, 3, 4, 4
8
2, 2, 2, 1
4
1, 3, 4, 4
9
4, 5, 5, 3
5
3, 4, 4, 5
10
3, 3, 3, 3
________________________________________
15. A special deck of cards consists of 5 red
cards, 20 blue cards, and 25 green cards.
Svetlana selects 1 card from the special
deck 500 times. How many times can she
expect to draw a red card?
SHOW WORK:
Simran used a simulation to predict the
number of defective parts that are
produced in a factory. Random numbers
are generated. A number 1 indicates that
the part is defective. Numbers 2, 3, 4, or
5 indicate that the part is not defective. Of
the next four parts produced, what is the
experimental probability that none of the
parts are defective? Write your answer
as a fraction, decimal, and percent.
__________
fraction
___________
decimal
__________
percent
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
65
Name _______________________________________ Date __________________ Class __________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
66
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Name _______________________________________ Date __________________ Class __________________
MODULE 13 Theoretical Probability and Simulations
Study Guide HW answer key
1.
Module Quiz 13: D
1. B
2. A
1
12
2. 0
3. A
3. 20
4. 6
4. A
5. A
6. B
6. 18
7. A
7. 8
8. B
8. A
9. b)
5. B
9. C
1
13.
1
4
7
2
10. 10
11. 50
12. 9
3
1
13.
18
2
c)
12.
4
1
b)
4
1
1
, ,
8
10. a)
11.
1
14. 12
3
15. $96
, 0.25, 25%
,
,
10
4
7
3
4
3
3
8
8
, ,
0.7, 70%
16.
1
or 0.1
10
17.
4
7
18. 100
14. 5 students
15. 50 times
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
238