Download C - Awtrey Middle School

Math 8, Unit 1 - Probability
Hoops
Vocabulary
Event
Outcomes
Probability
Laws of
Probability Applications
Wild Card
5 pts.
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10 pts.
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15 pts.
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20 pts.
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25 pts.
25 pts.
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25 pts.
Buzzer Shot
Hoops
Vocabulary
Event
Outcomes
Laws of
Probability
Probability
Applications
Wild Card
5 pts.
5 pts.
5 pts.
5 pts.
5 pts.
10 pts.
10 pts.
10 pts.
10 pts.
10 pts.
15 pts.
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20 pts.
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25 pts.
25 pts.
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25 pts.
Buzzer Shot
5 pt. Question from
Vocabulary
The illustration below represents which
of the following?
A
B
C
D
Counting Principle
Complement
Simple Event
Tree Diagram
5pt. Answer from
Vocabulary
D) Tree Diagram
10 pt. Question from
Vocabulary
Events for which the outcome of one event does not
affect the probability of the other are called
_________.
Example:
A bag contains 3 red marbles and 2 blue
marbles. Drawing a red marble, replacing it, and
then drawing a blue marble is an example of
independent events.
A
B
C
D
Counting Events
Dependent Events
Independent Events
Simple Events
10 pt. Answer from
Vocabulary
C) Independent Events
15 pt. Question from
Vocabulary
If an event A can occur in m ways and for each of these m ways,
an event B can occur in n ways, then events A and B can occur in
m  n ways. This principle can be generalized to more than two
events that happen in succession. So, if for each of the m and n
ways A and B can occur respectively, there is also an event C
that can occur in s ways, then events A, B, and C can occur in
m  n  s ways.
A
B
C
D
Complement
Compound Event
Counting Principle
Construction
15 pt. Answer from
Vocabulary
C) Counting Principle
20 pt. Question from
Vocabulary
An event consisting of just one outcome. A
_________ event can be represented by
a single branch of a tree diagram.
A
B
C
D
Compound Event
Independent Event
Simple Event
None of the above
20 pt. Answer from
Vocabulary
C) Simple Event
25 pt. Question from
Vocabulary
A number from 0 to 1 (or 0% to 100%) that
describes how likely an event is to occur.
Example:
A bag contains 3 red marbles and 4 blue marbles.
The probability of randomly choosing a red 3/7.
A
B
C
D
Complement
Probability
Sample Space
Simple Event
25 pt. Answer from
Vocabulary
B) Probability
5 pt. Question from
Event Outcomes
The tree diagram represents the possible outcomes for
a team after three games in a state football
championship. (W means win and L means loss.)
The championship rules are as follows: There are no
ties. A team is eliminated if it loses 2 games in a row.
How many outcomes are there for the fourth game?
A
B
C
D
6
8
10
12
5 pt. Answer from
Event Outcomes
B) 8
10 pt. Question from
Event Outcomes
Marcella has three hats, two gloves, and four
scarves at home. How many different
combinations of hats, gloves, and scarves
can she wear to school in a particular
morning?
A
B
C
D
less than 9
9
12
24
10 pt. Answer from Event
Outcomes
D) 24
15 pt. Question from
Event Outcomes
A math course has four sections. Three
students each randomly choose a
section to enroll in. In how many
different ways can the three students
choose to enroll?
A
B
C
D
6
9
27
64
15 pt. Answer from
Event Outcomes
D) 64
20 pt. Question from
Event Outcomes
Which answer gives the sample space for
the outcome of rolling a single number
cube?
A {0, 1, 2, 3, 4, 5, 6}
B {1, 2, 3, 4, 5, 6}
C {0}, {1}, {2}, {3}, {4}, {5}, {6}
D the number facing up on a given roll
20 pt. Answer from
Event Outcomes
B {1, 2, 3, 4, 5, 6}
25 pt. Question from
Event Outcomes
A platter of fruit has 18 apples, 10 pears, 8
oranges, and 4 mangos. Pieces of fruit are
picked at random. What is the probability of
getting a piece of fruit that is NOT an
apple?
A 55%
B 45%
C 25%
D 20%
25 pt. Answer from
Event Outcomes
A 55%
5 pt. Question from
Laws of Probability
David spins this spinner two times. What is the
probability that the spinner lands on 1 both
times?
5 pt. Answer from
Laws of Probability
10 pt. Question from
Laws of Probability
A jar contains 6 red balls, 3 green
balls, 5 white balls and 7 yellow balls.
Two balls are chosen from the jar, with
replacement. What is the probability
that both balls chosen are green?
A
6
441
B 2
49
1
C
49
D none of the above
10 pt. Answer from Laws
of Probability
C)
15 pt. Question from
Laws of Probability
Sean has two boxes. Box 1 contains 3 stiff
brushes, 2 soft brushes, 4 mane combs, and 2
hoof picks. He also has a second box containing 2
shedding blades and 1 curry comb. What is the
probability that Sean selects a stiff brush from box
1 and a shedding blade from box 2?
A
C
B 6
D
15 pt. Answer from
Laws of Probability
D)
20 pt. Question from
Laws of Probability
In which situations do you calculate
outcomes with the counting principle
using addition and multiplication?
A “and” for multiplication “or” for addition
B “of” for multiplication “with” for addition
C “with” for multiplication “then” for addition
D “or” for multiplication “and” for addition
20 pt. Question from
Laws of Probability
A) “and” for multiplication “or” for addition
25 pt. Question from
Laws of Probability
How can you determine if a game is
fair? choose the best answer.
A If the game has a dependent setting
B If all players are independent
C If the rules are the same for all players
D If all outcomes are equally likely
25 pt. Question from
Laws of Probability
D) If all outcomes are equally likely
5 pt. Question from
Probability Applications
If A and B are independent events such that
P(A)=0.35 and P(B)=0.40, what is the P(A or
B)?
A
B
C
D
0.875
0.75
0.5
0.14
5 pt. Answer from
Probability Applications
B 0.75
10 pt. Question from
Probability Applications
William has one quiz each week in science class.
The table gives the probability of having a quiz on
each day of the week. What is the probability that
William will have a quiz Wednesday, Thursday, or
Friday? Express your answer as a percent.
A
B
C
D
17%
32%
33%
68%
10 pt. Answer from
Probability Applications
D) 68%
15 pt. Question from
Probability Applications
If A and B are independent events
such that P(A)=0.14 and P(B)=0.28,
what is the probability that both A
and B will occur?
A
B
C
D
0.0392
0.0784
0.24
0.42
15 pt. Answer from
Probability Applications
A) 0.0392
20 pt. Question from
Probability Applications
An amusement park game has balls numbered from 1
to 52. Two balls are drawn with replacement in each
round of the game. What is the probability of drawing
an even numbered ball the first time and a multiple of
4 the second time?
A 39/52
C 1/8
B ¾
D 17/52
20 pt. Answer from
Probability Applications
C 1/8
25 pt. Question from
Probability Applications
3
States, 5
In the United
of all households have
some kind of pet, and 13 of all households have
at least one child. What is the probability that
a household picked at random will have a pet
and one or more children?
A
C
B
D
25 pt. Answer from
Probability Applications
C)
5 pt. Question from
Wild Card
Use a tree diagram to determine
the possible meal combinations
given the following choices:
3 entrees
5 drinks
2 desserts
5 pt. Answer from
Wild Card
30
10 pt. Question from
Wild Card
A jar contains 12 quarters and 4
dimes. What is P(quarter, then
dime) if you select the first coin and
replace it before you draw the
second coin?
10 pt. Answer from
Wild Card
P(quarter then dime) =
3
16
P(quarter) = 12/16 = ¾. Since you replace
the first coin the P(dime) = 4/16 because
there are still 16 coins in the jar. The
P(quarter then dime) = ¾ x 4/16 = 12/64
= 3/16.
15 pt. Question from
Wild Card
If A and B are independent events
such that P(A) = 0.50 and P(B) =
0.25. What is the probability that A
and B will occur?
15 pt. Answer from
Wild Card
0.125
P(A) = 0.50 and P(B) = 0.25 so the
P(A and B) = 0.50 x 0.25 = 0.125
20 pt. Question from
Wild Card
If A and B are independent events
such that P(A) = 0.50 and P(B) =
0.25. What is the probability that A
or B will occur?
20 pt. Answer from
Wild Card
0.75
P(A) = 0.50 and P(B) = 0.25 so the
P(A or B) = 0.50 + 0.25 = 0.75
25 pt. Question from
Wild Card
There are 52 cards in a deck. What
is the probability of drawing an ace
or a face card?
25 pt. Answer from
Wild Card
4
13
P(Ace) = 4/52 and P(face card) =
12/52, so the P(Ace or Face Card) =
4/52 + 12/52 = 16/52 = 4/13
Buzzer Shot
The eighth grade dance is being catered.
The caterers offer 4 appetizers, 3 salads,
and 2 main courses for each eighth grade
student to choose for dinner. If the caterers
would like 48 different combinations of
dinner, how many desserts should they
offer?
Buzzer Shot Answer
2