Transcript probability and statistics

Please select a Team.
am
Te
am
Te
5
20%
4
20%
3
am
am
Te
am
20%
2
20%
1
20%
Te
Team 1
Team 2
Team 3
Team 4
Team 5
Te
1.
2.
3.
4.
5.
You roll a standard number cube. Find
P(number greater than 1)
1. 6
5
2. 5
6
3.
1
6
4. 1
25%
25%
25%
25%
Teesha is in the French club. There are 26 students in
the club. The French teacher will pick 3 students at
random to guide visiting students from France. What is
the probability that Teesha will not be picked as a guide?
25%
1.
3
26
2.
29
26
3.
23
26
4.
3
29
25%
25%
25%
You have the numbers 1–24 written on slips of paper. If
you choose one slip at random, what is the probability
that you will not select a number which is divisible by 3?
25%
1.
3
8
2.
1
3
3.
5
8
4.
2
3
25%
25%
25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
so
r
ve
ne
s
w
ay
al
m
et
im
es
The probability of the complement of an
event is ____ less than the probability of the
event itself.
1. sometimes
33% 33% 33%
2. always
3. never
In a batch of 960 calculators, 8 were found to be defective.
What is the probability that a calculator chosen at random
will be defective? Write the probability as a percent. Round
to the nearest tenth of a percent.
%
.2
0
99
25%
1.
10
25%
%
25%
%
.4
0
%
25%
0.
80
74.4%
0.8%
99.2%
1.1%
74
1.
2.
3.
4.
A cell phone company orders 500 new phones from a
manufacturer. If the probability of a phone being defective
is 2.6%, predict how many of the phones are likely to be
defective. Round to the nearest whole number.
16 phones
13 phones
11 phones
130 phones
ne
s
s
ph
o
0
13
11
ph
o
ne
s
ne
ph
o
13
ph
o
ne
s
25% 25% 25% 25%
16
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
If you roll a number cube 60 times and use the results to
calculate the experimental probability of rolling a 1, the
experimental probability of rolling a 1 will ____ be less than
the theoretical probability of rolling a 1.
so
r
33%
ve
w
ay
s
33%
al
m
et
im
es
33%
ne
1. sometimes
2. always
3. never
You toss a coin and roll a number cube. Find
P(heads and an even number).
25%
1.
1
12
2.
1
4
3.
1
6
4.
1
25%
25%
25%
Suppose you choose a marble from a bag containing 2
red marbles, 5 white marbles, and 3 blue marbles. You
return the first marble to the bag and then choose again.
Find P(red and blue).
25%
1.
3
5
2.
7
10
3.
1
2
4.
3
50
25%
25%
25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
In a word game, you choose a tile from a bag, replace it,
and then choose another. If there are 21 vowels and 15
consonants, what is the probability you will choose a
consonant and then a vowel?
1.
35
8
2.
35
4
3.
35
144
4.
1
36
25%
25%
25%
25%
A small software company has three customer service
representatives. After a week of observation, the supervisor of the
customer service department determines that there is an 85%
probability that a customer service representative will be on the
phone with a customer at any given time. What is the probability
of all three representatives being on the phone at the same time?
Round to the nearest percent.
25%
25%
25%
%
61
%
39
%
72
%
28%
72%
39%
61%
28
1.
2.
3.
4.
25%
If A and B are independent events and
P(A) and P(B) are both greater than ½ ,
then P(A and B) is ____ greater than 1.
33%
33%
33%
so
r
ve
ne
s
w
ay
al
m
et
im
es
1. sometimes
2. always
3. never
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
You have three $1 bills, four $5 bills, and two $10 bills in
your wallet. You select a bill at random. Without
replacing the bill, you choose a second bill at random.
Find P($10 then $1).
1.
1
12
2.
5
81
3.
5
72
4.
2
27
25%
25%
25%
25%
A basket contains 11 pieces of fruit: 4 apples, 5 oranges,
and 2 bananas. Jonas takes a piece of fruit at random
from the basket, and then Beth takes a piece at random.
What is the probability that Jonas will get an orange and
Beth will get an apple?
1.
9
10
2.
9
11
3.
20
121
4.
2
11
25%
25%
25%
25%
Thomas, Jenna, and Maria are playing a game. They have a bag
that contains 42 white tiles and 4 red tiles. Each player takes turns
picking a tile at random and does not return the tiles to the bag.
The player who draws a red tile first is the winner. In the first
round, Thomas goes first, then Jenna, and then Maria, and none
of them draws a red tile. What is the probability that Thomas will
win the game on his second turn?
1.
2
21
25%
2.
4
43
3.
2
23
4.
4
45
25%
25%
25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Which type of video
was rented most
often? Use the graph
to find the answer.
C
ra
m
a
D
ct
io
n
A
hi
ld
re
y
om
ed
Comedy
Children’s
Action
Drama
C
1.
2.
3.
4.
n’
s
25% 25% 25% 25%
What percent of the
movies rented were
comedy movies? Use
the graph to find the
answer.
25%
25%
25%
%
30
%
45
%
15
%
10%
15%
45%
30%
10
1.
2.
3.
4.
25%
In each of the sports teams at
the local high school, there are
students from all grades. On
which sports team is the
percentage of juniors and
seniors higher than the
percentage of sophomores?
m
e
ll
te
a
on
ot
ba
Fo
ke
as
B
N
tb
al
l
te
a
te
am
er
cc
Soccer team
Basketball team
None
Football team
So
1.
2.
3.
4.
m
25% 25% 25% 25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
84
74
0,
0,
,5
,6
25
6,
,1
16
6, 17, 9, 9, 34, 59
7, 30, 39, 48, 82, 141
6, 17, 6, 26, 15, 60, 74
7, 16, 16, 25, 50, 84
7,
1.
2.
3.
4.
15
134
,2
6,
?
14
1
85–92
25% 25% 25% 25%
,6
75
2,
?
17
77–84
,8
41
6,
?
48
69–76
9,
32
59
?
,3
61–68
4,
23
30
?
,9
,3
53–60
7,
6
,9
?
17
45–52
The cumulative
frequencies of each
interval have been given.
Use this information to
complete the frequency
column.
6,
Interval Frequency Cumulative
Frequency
List a set of data values that can be represented by the
box-and-whisker plot shown.
4,
5,
4,
16
6,
7,
9,
11
11
,1
,1
5,
5,
16
6,
5,
4,
6,
4,
6,
7,
8,
9,
8,
11
11
,1
,1
3,
5,
1.
.
1. 4, 5, 6, 7, 8, 9, 11, 13, 14,
15, 16
2. 4, 6, 8, 11, 15, 16
3. 4, 5, 6, 9, 11, 15, 16
4. 4, 6, 7, 11, 15, 16
16
25% 25% 25% 25%
The circle graph shows how the
average American family spends
its money. Explain why the graph
is misleading.
25% 25% 25% 25%
1.
2.
3.
4.
A family with an annual income of $32,000
spends about $2000 on clothing.
The sections of the graph do not add to
100%, so the percent for at least one type
of expense is not represented.
Some people might believe that
transportation is a major expense.
The amount of money spent on
transportation and food exceeds the
amount of money spent on housing.
A family
with an
annual
income of
$32,000
spends
about
$2000 on
The
Some
The
sections people
amount
of the
might of money
graph do believe spent on
not add
that
transport
to 100% , transport ation and
so the
ation is a
food
percent
major
exceeds
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Identify the sample space and
the outcome shown for spinning
the game spinner.
,..
.
e:
sp
ac
e:
Sa
m
pl
e
sp
ac
{W
,X
,..
.
{W
,Y
W
,..
.
Sa
m
pl
e
sp
ac
e:
{V
,
{W
,X
e:
m
pl
e
Sa
4.
sp
ac
3.
m
pl
e
2.
Sample space: {W, X, Y, Z}
Outcome shown: Z
Sample space: {V, W, X, Y, Z}
Outcome shown: X
Sample space: {W, Y, Z}
Outcome shown: X
Sample space: {W, X, Y, Z}
Outcome shown: X
Sa
1.
,..
.
25% 25% 25% 25%
Outcome
Frequency An experiment consists of spinning a
red
8
purple
12
yellow
10
1.
spinner. Use the results in the table
to find the experimental probability
that the spinner does not land on
purple. Express your answer as a
fraction in simplest form.
11
15
25%
2.
2
5
3.
3
5
4.
4
15
25%
25%
25%
A manufacturer inspects 800 personal video players and finds
that 798 of them have no defects. What is the experimental
probability that a video player chosen at random has no
defects?
25%
25%
25%
.5
97
%
.7
5
99
%
0.
25
.5
0
%
99.5%
0.25%
99.75%
97.5
99
1.
2.
3.
4.
25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
25%
25%
25%
19
25%
6
A manufacturer inspects 500 personal video players and finds
that 496 of them have no defects. The manufacturer sent a
shipment of 2000 video players to a distributor. Predict the
number of players in the shipment that are likely to have no
defects.
1. 16
2. 1840
49
84
40
18
4. 1984
16
3. 496
An experiment consists of rolling a number cube. Find
the theoretical probability of rolling a number greater
than 4. Express your answer as a fraction in simplest
form.
25%
1.
2
3
2.
1
6
3.
1
2
4.
1
3
25%
25%
25%
In an election, 59% of the voters voted for a new school
tax. What is the probability (as a percentage) that a
randomly-selected voter did not vote for the tax?
%
25%
31
%
25%
59
25%
%
%
25%
41
44%
41%
59%
31%
44
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
At a carnival game, you may win an inflatable crayon,
you may win a small stuffed animal, or you may win
nothing at all. If the probability of winning nothing is 0.69
and the probability of winning a small stuffed animal is
0.17, what is the probability of winning an inflatable
crayon?
25%
25%
25%
0.
83
0.
86
0.
31
0.14
0.31
0.86
0.83
0.
14
1.
2.
3.
4.
25%
The probability of drawing a green marble
from a marble bag is 40%. What are the
odds in favor of drawing a green marble?
25%
25%
25%
2
2
3
5
3:
2:
2:
5:2
3:2
2:3
2:5
5:
1.
2.
3.
4.
25%
Kadonna is chosen to be the first trumpet player in line in
the band, and Jerome is chosen to be the second. Tell
whether the events are dependent or independent. Explain
your answer.
t..
.
n
n
Th
e
pe
rs
o
Th
e
pe
rs
o
n
ch
os
e
n
os
e
ch
th
e
of
oi
ce
ch
e
Th
t..
.
t..
.
fir
s
t..
.
fir
s
th
e
of
oi
ce
4.
ch
3.
25% 25% 25% 25%
e
2.
The choice of the first
trumpeter does not affect the
choice of the second, so the
events are independent.
The choice of the first
trumpeter does not affect the
choice of the second, so the
events are dependent.
The person chosen to be first
cannot also be second, so
the events are independent.
The person chosen to be first
cannot also be second, so
the events are dependent.
Th
1.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
A grab bag contains 3 football cards and 7 basketball cards. An
experiment consists of taking one card out of the bag, replacing it, and
then selecting another card. What is the probability of selecting a
football card and then a basketball card?
25%
25%
0.
23
25%
0.
21
25%
0.
09
0.49
0.09
0.21
0.23
0.
49
1.
2.
3.
4.
A bag contains hair ribbons for a spirit rally. The bag contains 3
black ribbons and 12 green ribbons. Lila selects a ribbon at
random, then Jessica selects a ribbon at random from the
remaining ribbons. What is the probability that Lila selects a black
ribbon and Jessica selects a green ribbon?
25%
1.
4
25
2.
6
35
3.
11
70
4.
4
35
25%
25%
25%
A school has 6th, 7th, and 8th period Social Studies classes.
One student from each class will be chosen to represent the
school in an essay contest. The 6th period finalists are Manuel,
Sarah, Luis, and Eiko. The 7th period finalists are Benji, Eric,
and Sandra. The 8th period finalists are Hilda, Elizabeth, and
Robby. How many different ways can the students be chosen?
25%
25%
25%
36
27
10
15
10
27
36
15
1.
2.
3.
4.
25%
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5
Mrs. Green likes to serve two different kinds of
vegetables with dinner. She has carrots, peas, okra, and
green beans in her refrigerator. How many different sets
of two vegetables can she serve? Tell whether this
situation is a combination or a permutation.
25% 25% 25% 25%
er
m
ut
at
io
io
n
,p
12
pe
6,
,c
12
rm
ut
at
tio
n
om
bi
na
tio
n
m
bi
na
co
n
6, combination
12, combination
6, permutation
12, permutation
6,
1.
2.
3.
4.
There are 8 singers competing at a talent show.
In how many different orders can the singers
appear?
25%
25%
25%
0
,3
2
40
64
56
0
5,040
56
64
40,320
5,
04
1.
2.
3.
4.
25%
Pat has 9 flowerpots, and she wants to plant a different
type of flower in each one. There are 11 types of
flowers available at the garden shop. In how many
different ways can she choose the flowers?
25% 25% 25% 25%
,9
5
55
99
0
11
8,
40
0
19,958,400
110
99
55
19
1.
2.
3.
4.
Team Scores
0
0
Team 1
Team 2
0
0
0
Team 3
Team 4
Team 5