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Chapter 12
Probability
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 1
Of 12 children playing at the playground, 4 are
playing on the swing set. Determine the empirical
probability that the next child to the playground
will play on the swing set.
a.
1
2
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
6
Slide 12 - 2
Of 12 children playing at the playground, 4 are
playing on the swing set. Determine the empirical
probability that the next child to the playground
will play on the swing set.
a.
1
2
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
6
Slide 12 - 3
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is odd.
a.
1
2
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
6
Slide 12 - 4
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is odd.
a.
1
2
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
6
Slide 12 - 5
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is less than 3.
a.
1
2
c.
3
10
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
7
10
Slide 12 - 6
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is less than 3.
a.
1
2
c.
3
10
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
7
10
Slide 12 - 7
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is greater than 5 or even.
a.
1
2
c.
3
10
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
7
10
Slide 12 - 8
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is greater than 5 or even.
a.
1
2
c.
3
10
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
7
10
Slide 12 - 9
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is odd and less than 4.
a.
1
2
c.
2
5
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
5
Slide 12 - 10
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If one sheet of paper is selected at random
from the box, determine the probability that the
number selected is odd and less than 4.
a.
1
2
c.
2
5
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
5
Slide 12 - 11
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that both numbers are odd.
a.
2
9
c.
1
9
Copyright © 2009 Pearson Education, Inc.
b.
1
5
d.
1
4
Slide 12 - 12
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that both numbers are odd.
a.
2
9
c.
1
9
Copyright © 2009 Pearson Education, Inc.
b.
1
5
d.
1
4
Slide 12 - 13
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that both numbers are greater than 7.
a.
1
50
c.
1
25
Copyright © 2009 Pearson Education, Inc.
b.
2
45
d.
1
45
Slide 12 - 14
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that both numbers are greater than 7.
a.
1
50
c.
1
25
Copyright © 2009 Pearson Education, Inc.
b.
2
45
d.
1
45
Slide 12 - 15
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that the first number is even and the
second number is odd.
a.
1
4
c.
5
18
Copyright © 2009 Pearson Education, Inc.
b.
1
5
d.
2
9
Slide 12 - 16
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that the first number is even and the
second number is odd.
a.
1
4
c.
5
18
Copyright © 2009 Pearson Education, Inc.
b.
1
5
d.
2
9
Slide 12 - 17
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that the first number is greater than 3
and the second number is less than 3.
a.
1
3
c.
4
15
Copyright © 2009 Pearson Education, Inc.
b.
3
10
d.
1
5
Slide 12 - 18
Each of the numbers 0-9 is written on a sheet of
paper and the ten sheets of paper are placed in a
box. If two sheets of paper are selected at random,
without replacement, from the box, determine the
probability that the first number is greater than 3
and the second number is less than 3.
a.
1
3
c.
4
15
Copyright © 2009 Pearson Education, Inc.
b.
3
10
d.
1
5
Slide 12 - 19
One card is selected at random from a standard
deck of 52 cards. Determine the probability that
the card selected is a club or a picture card.
a.
25
52
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
11
26
d.
3
13
Slide 12 - 20
One card is selected at random from a standard
deck of 52 cards. Determine the probability that
the card selected is a club or a picture card.
a.
25
52
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
11
26
d.
3
13
Slide 12 - 21
One die is rolled and one colored chip - black or
white - is selected at random. Use the counting
principle to determine the number of sample points
in the sample space.
a.
6
b.
8
c.
12
d.
10
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 22
One die is rolled and one colored chip - black or
white - is selected at random. Use the counting
principle to determine the number of sample points
in the sample space.
a.
6
b.
8
c.
12
d.
10
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 23
One die is rolled and one colored chip - black or
white - is selected at random. Determine the
probability of obtaining the number 3 and the color
black.
a.
1
12
c.
1
6
Copyright © 2009 Pearson Education, Inc.
b.
1
24
d.
1
2
Slide 12 - 24
One die is rolled and one colored chip - black or
white - is selected at random. Determine the
probability of obtaining the number 3 and the color
black.
a.
1
12
c.
1
6
Copyright © 2009 Pearson Education, Inc.
b.
1
24
d.
1
2
Slide 12 - 25
One die is rolled and one colored chip - black or
white - is selected at random. Determine the
probability of obtaining an even number and the
color white.
a.
1
2
c.
1
6
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
4
Slide 12 - 26
One die is rolled and one colored chip - black or
white - is selected at random. Determine the
probability of obtaining an even number and the
color white.
a.
1
2
c.
1
6
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
4
Slide 12 - 27
One die is rolled and one colored chip - black or
white - is selected at random. Determine the
probability of obtaining a number less than 3 and
the color white.
a.
1
2
c.
1
6
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
4
Slide 12 - 28
One die is rolled and one colored chip - black or
white - is selected at random. Determine the
probability of obtaining a number less than 3 and
the color white.
a.
1
2
c.
1
6
Copyright © 2009 Pearson Education, Inc.
b.
1
3
d.
1
4
Slide 12 - 29
A serial number is to consist of seven digits.
Determine the number of serial numbers possible
if the first two numbers cannot be 0 or 1 and
repetition is permitted.
a.
376,320
b.
2,83,401
c.
6,400,000
d.
10,000,000
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 30
A serial number is to consist of seven digits.
Determine the number of serial numbers possible
if the first two numbers cannot be 0 or 1 and
repetition is permitted.
a.
376,320
b.
2,83,401
c.
6,400,000
d.
10,000,000
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 31
The local elementary school cafeteria offered ham
sandwiches and pizza for lunch one day. The
number of boys and girls who ate either a ham
sandwich or pizza were recorded. The results are
shown below.
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 32
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the student is a boy.
51
a.
109
b.
Copyright © 2009 Pearson Education, Inc.
10
17
31
c.
75
d.
7
10
Slide 12 - 33
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the student is a boy.
51
a.
109
b.
Copyright © 2009 Pearson Education, Inc.
10
17
31
c.
75
d.
7
10
Slide 12 - 34
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the student ate pizza
for lunch.
a.
31
75
b.
Copyright © 2009 Pearson Education, Inc.
44
75
75
c.
109
d.
34
75
Slide 12 - 35
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the student ate pizza
for lunch.
a.
31
75
b.
Copyright © 2009 Pearson Education, Inc.
44
75
75
c.
109
d.
34
75
Slide 12 - 36
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the person ate a
ham sandwich for lunch, given that they are a girl.
a.
7
17
b.
Copyright © 2009 Pearson Education, Inc.
10
17
14
c.
109
d.
7
29
Slide 12 - 37
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the person ate a
ham sandwich for lunch, given that they are a girl.
a.
7
17
b.
Copyright © 2009 Pearson Education, Inc.
10
17
14
c.
109
d.
7
29
Slide 12 - 38
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the person is a boy,
given that they ate pizza for lunch.
a.
44
75
b.
Copyright © 2009 Pearson Education, Inc.
31
75
4
c.
15
d.
20
109
Slide 12 - 39
Ham
Sandwich
Pizza
Total
Boys
40
62
102
Girls
28
88
116
Total
68
150
218
If one of these students is selected at random,
determine the probability that the person is a boy,
given that they ate pizza for lunch.
a.
44
75
b.
Copyright © 2009 Pearson Education, Inc.
31
75
4
c.
15
d.
20
109
Slide 12 - 40
At the bakery, a box of cookies is made by
selecting four cookies from the six types of cookie
- chocolate chip, oatmeal raisin, sugar, peanut
butter, butterscotch, and chocolate. In how many
ways can a box of cookies be put together?
a.
360
b.
30
c.
15
d.
6
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 41
At the bakery, a box of cookies is made by
selecting four cookies from the six types of cookie
- chocolate chip, oatmeal raisin, sugar, peanut
butter, butterscotch, and chocolate. In how many
ways can a box of cookies be put together?
a.
360
b.
30
c.
15
d.
6
Copyright © 2009 Pearson Education, Inc.
Slide 12 - 42
A box contains a total of 120 folders, of which 30
are red. If you select 2 at random, determine the
probability that both folders are red.
a.
1
16
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
29
480
d.
29
476
Slide 12 - 43
A box contains a total of 120 folders, of which 30
are red. If you select 2 at random, determine the
probability that both folders are red.
a.
1
16
c.
1
4
Copyright © 2009 Pearson Education, Inc.
b.
29
480
d.
29
476
Slide 12 - 44
A box contains a total of 120 folders, of which 30
are red. If you select 2 at random, determine the
probability that at least one folder is not red.
a.
15
16
c.
9
16
Copyright © 2009 Pearson Education, Inc.
b.
447
476
d.
3
8
Slide 12 - 45
A box contains a total of 120 folders, of which 30
are red. If you select 2 at random, determine the
probability that at least one folder is not red.
a.
15
16
c.
9
16
Copyright © 2009 Pearson Education, Inc.
b.
447
476
d.
3
8
Slide 12 - 46