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Math 8, Unit 1 - Probability

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Math 8, Unit 1 - Probability 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)? – PowerPoint PPT presentation

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Title: Math 8, Unit 1 - Probability


1
  • Math 8, Unit 1 - Probability

2
Hoops
Event Outcomes
Laws of Probability
Probability Applications
Vocabulary
Wild Card
5 pts.
5 pts.
5 pts.
5 pts.
5 pts.
10 pts.
10 pts.
10 pts.
10 pts.
10 pts.
15 pts.
15 pts.
15 pts.
15 pts.
15 pts.
20 pts.
20 pts.
20 pts.
20 pts.
20 pts.
25 pts.
25 pts.
25 pts.
25 pts.
25 pts.
Buzzer Shot
3
Hoops
Event Outcomes
Laws of Probability
Probability Applications
Wild Card
Vocabulary
5 pts.
5 pts.
5 pts.
5 pts.
5 pts.
10 pts.
10 pts.
10 pts.
10 pts.
10 pts.
15 pts.
15 pts.
15 pts.
15 pts.
15 pts.
20 pts.
20 pts.
20 pts.
20 pts.
20 pts.
25 pts.
25 pts.
25 pts.
25 pts.
25 pts.
Buzzer Shot
4
5 pt. Question from Vocabulary
The illustration below represents which of the
following? A Counting Principle B
Complement C Simple Event D Tree Diagram
5
5pt. Answer from Vocabulary
D) Tree Diagram
6
10 pt. Question from Vocabulary
Events for which the outcome of one event does
not affect the probability of the other are
called _________. ExampleA 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 Counting
Events B Dependent Events C Independent
Events D Simple Events
7
10 pt. Answer from Vocabulary
C) Independent Events
8
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 Complement B
Compound Event C Counting Principle D
Construction
9
15 pt. Answer from Vocabulary
C) Counting Principle
10
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 Compound Event B
Independent Event C Simple Event D None of the
above
11
20 pt. Answer from Vocabulary
C) Simple Event
12
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 Complement B
Probability C Sample Space D Simple Event
13
25 pt. Answer from Vocabulary
B) Probability
14
5 pt. Question fromEvent 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 6 B 8 C 10 D 12
15
5 pt. Answer fromEvent Outcomes
B) 8
16
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 less than 9 B
9 C 12 D 24
17
10 pt. Answer from Event Outcomes
D) 24
18
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 6 B 9 C 27 D 64
19
15 pt. Answer fromEvent Outcomes
D) 64
20
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
21
20 pt. Answer fromEvent Outcomes
B 1, 2, 3, 4, 5, 6
22
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
23
25 pt. Answer fromEvent Outcomes
A 55
24
5 pt. Question fromLaws of Probability
David spins this spinner two times. What is the
probability that the spinner lands on 1 both
times?
25
5 pt. Answer fromLaws of Probability
26
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 C B D none of the above
27
10 pt. Answer from Laws of Probability
C)
28
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
29
15 pt. Answer from Laws of Probability
D)
30
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
31
20 pt. Question from Laws of Probability
A) and for multiplication or for addition
32
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

33
25 pt. Question from Laws of Probability
D) If all outcomes are equally likely
34
5 pt. Question fromProbability 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 0.875 B 0.75 C 0.5 D 0.14
35
5 pt. Answer from Probability Applications
B 0.75
36
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 17 B 32 C 33 D 68
37
10 pt. Answer from Probability Applications
D) 68
38
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 0.0392 B
0.0784 C 0.24 D 0.42
39
15 pt. Answer from Probability Applications
A) 0.0392
40
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
41
20 pt. Answer from Probability Applications
C 1/8
42
25 pt. Question from Probability Applications
In the United States, of all households have
some kind of pet, and 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
43
25 pt. Answer from Probability Applications
C)
44
5 pt. Question fromWild Card
Use a tree diagram to determine the possible meal
combinations given the following choices 3
entrees 5 drinks 2 desserts
45
5 pt. Answer fromWild Card
30
46
10 pt. Question fromWild 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?
47
10 pt. Answer fromWild Card
P(quarter then dime) 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.
48
15 pt. Question fromWild 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?
49
15 pt. Answer fromWild 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
50
20 pt. Question fromWild 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?
51
20 pt. Answer fromWild Card
0.75 P(A) 0.50 and P(B) 0.25 so the P(A or
B) 0.50 0.25 0.75
52
25 pt. Question fromWild Card
There are 52 cards in a deck. What is the
probability of drawing an ace or a face card?
53
25 pt. Answer fromWild Card
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
54
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?
55
Buzzer Shot Answer
2
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