Transcript ch.10 active learning

Active Learning Lecture Slides
For use with Classroom Response Systems
Chapter 10
Counting
and
Probability
© 2009 Pearson Education, Inc.
All rights reserved.
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 1
Write down all the subsets of {x, y, z}.
a.
x, y, z, x, y, x, z, y, z, x, y, z, 
b.
x, y, z, x, y, x, z, y, z, x, y, z
c.
x, y, z, x, y, x, z, y, z, 
d.
x, y, z, x, y, x, z, y, z,
x, x, y, y, z, z, x, y, z, 
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 2
Write down all the subsets of {x, y, z}.
a.
x, y, z, x, y, x, z, y, z, x, y, z, 
b.
x, y, z, x, y, x, z, y, z, x, y, z
c.
x, y, z, x, y, x, z, y, z, 
d.
x, y, z, x, y, x, z, y, z,
x, x, y, y, z, z, x, y, z, 
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 3
If n  B   12, n  A  B   3, and n  A  B   21,
find n  A  .
a. 10
b. 12
c. 14
d. 9
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 4
If n  B   12, n  A  B   3, and n  A  B   21,
find n  A  .
a. 10
b. 12
c. 14
d. 9
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 5
Use the Venn
Diagram to find how
many are not in C.
a. 44
b. 38
c. 50
d. 45
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 6
Use the Venn
Diagram to find how
many are not in C.
a. 44
b. 38
c. 50
d. 45
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 7
In a survey of 50 households, 25 responded that
they have an HDTV television , 35 responded
that they had a multimedia personal computer,
and 15 responded they had both. How many
households had neither an HDTV television nor
a multimedia personal computer?
a. 25
b. 5
c. 15
d. 35
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 8
In a survey of 50 households, 25 responded that
they have an HDTV television , 35 responded
that they had a multimedia personal computer,
and 15 responded they had both. How many
households had neither an HDTV television nor
a multimedia personal computer?
a. 25
b. 5
c. 15
d. 35
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 9
A restaurant offers a choice of 5 salads, 10 main
courses, and 3 desserts. How many possible 3course meals are there?
a. 150
b. 18
c. 50
d. 300
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 10
A restaurant offers a choice of 5 salads, 10 main
courses, and 3 desserts. How many possible 3course meals are there?
a. 150
b. 18
c. 50
d. 300
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 11
How many different license plates can be made
using 2 letters followed by 3 digits selected
from the digits 0 through 9, if letters and digits
may be repeated?
a. 6
b. 676,000
c. 36
d. 260
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 12
How many different license plates can be made
using 2 letters followed by 3 digits selected
from the digits 0 through 9, if letters and digits
may be repeated?
a. 6
b. 676,000
c. 36
d. 260
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 13
4 different books are to be arranged on a shelf.
How many different arrangements are possible?
a. 12
b. 4
c. 24
d. 6
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 14
4 different books are to be arranged on a shelf.
How many different arrangements are possible?
a. 12
b. 4
c. 24
d. 6
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 15
How many different license plates can be made
using 3 letters followed by 3 digits selected
from the digits 0 through 9, if digits may be
repeated but letters may not be repeated?
a. 17,576,000
b. 3095.2381
c. 12,654,720
d. 15,600,000
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 16
How many different license plates can be made
using 3 letters followed by 3 digits selected
from the digits 0 through 9, if digits may be
repeated but letters may not be repeated?
a. 17,576,000
b. 3095.2381
c. 12,654,720
d. 15,600,000
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 17
From 10 names on a ballot, a committee of 4
will be elected to attend a political national
convention. How many different committees are
possible?
a. 2520
b. 5040
c. 151,200
d. 210
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 18
From 10 names on a ballot, a committee of 4
will be elected to attend a political national
convention. How many different committees are
possible?
a. 2520
b. 5040
c. 151,200
d. 210
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 19
How many ways are there to choose a soccer
team consisting of 3 forwards, 4 midfield
players, and 3 defensive players, if the players
are chosen from 5 forwards, 7 midfield players,
and 10 defensive players?
a. 36,288,000
b. 646,646
c. 42,000
d. 165
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 20
How many ways are there to choose a soccer
team consisting of 3 forwards, 4 midfield
players, and 3 defensive players, if the players
are chosen from 5 forwards, 7 midfield players,
and 10 defensive players?
a. 36,288,000
b. 646,646
c. 42,000
d. 165
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 21
How many different 10-letter words (real or
imaginary) can be formed from the letters in the
word PHILOSOPHY?
a. 3,628,800
b. 453,600
c. 907,200
d. 45,360
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 22
How many different 10-letter words (real or
imaginary) can be formed from the letters in the
word PHILOSOPHY?
a. 3,628,800
b. 453,600
c. 907,200
d. 45,360
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 23
How many different vertical arrangements are
there of 7 flags if 3 are white, 3 are blue, and 1
is red?
a. 140
b. 9
c. 15
d. 35
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 24
How many different vertical arrangements are
there of 7 flags if 3 are white, 3 are blue, and 1
is red?
a. 140
b. 9
c. 15
d. 35
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 25
Determine whether
the following is a
probability model.
Outcome
Red
Blue
Green
White
Probability
0.24
0.26
0.31
0.19
a. Yes
b. No
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 26
Determine whether
the following is a
probability model.
Outcome
Red
Blue
Green
White
Probability
0.24
0.26
0.31
0.19
a. Yes
b. No
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 27
Determine whether
the following is a
probability model.
Outcome
Red
Blue
Green
White
Probability
0.16
0.23
0.35
0.50
a. Yes
b. No
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 28
Determine whether
the following is a
probability model.
Outcome
Red
Blue
Green
White
Probability
0.16
0.23
0.35
0.50
a. Yes
b. No
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 29
A bag contains 6 red marbles, 7 blue marbles,
and 8 green marbles. If one marble is selected
at random, determine the probability that it is
blue.
a.
1
3
c.
8
21
Copyright © 2009 Pearson Education, Inc.
b.
2
7
d.
7
13
Slide 10 - 30
A bag contains 6 red marbles, 7 blue marbles,
and 8 green marbles. If one marble is selected
at random, determine the probability that it is
blue.
a.
1
3
c.
8
21
Copyright © 2009 Pearson Education, Inc.
b.
2
7
d.
7
13
Slide 10 - 31
Two 6-sided dice are rolled. What is the
probability the sum of the two numbers on the
dice will be 5?
a.
1
9
b.
5
6
c.
8
9
d.
4
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 32
Two 6-sided dice are rolled. What is the
probability the sum of the two numbers on the
dice will be 5?
a.
1
9
b.
5
6
c.
8
9
d.
4
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 33
What is the probability that
the arrow will land on an
odd number, assuming all
sectors have equal area?
a.
3
5
b.
2
5
c.
1
d.
0
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 34
What is the probability that
the arrow will land on an
odd number, assuming all
sectors have equal area?
a.
3
5
b.
2
5
c.
1
d.
0
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 35
Find the probability of getting 2 tails when 3
fair coins are tossed.
a.
1
4
c.
2
3
Copyright © 2009 Pearson Education, Inc.
b.
3
8
d.
1
2
Slide 10 - 36
Find the probability of getting 2 tails when 3
fair coins are tossed.
a.
1
4
c.
2
3
Copyright © 2009 Pearson Education, Inc.
b.
3
8
d.
1
2
Slide 10 - 37
Find the probability of having 4 girls in a 4child family.
a.
1
4
1
c.
16
Copyright © 2009 Pearson Education, Inc.
b.
1
8
d.
1
32
Slide 10 - 38
Find the probability of having 4 girls in a 4child family.
a.
1
4
1
c.
16
Copyright © 2009 Pearson Education, Inc.
b.
1
8
d.
1
32
Slide 10 - 39
Given that P(A) = 0.62, P(B) = 0.25, and
P A  B   0.06, find P A  B .
a. 0.75
b. 0.87
c. 0.93
d. 0.81
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 40
Given that P(A) = 0.62, P(B) = 0.25, and
P A  B   0.06, find P A  B .
a. 0.75
b. 0.87
c. 0.93
d. 0.81
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 41
Given that P(A) = 0.21, P(B) = 0.55, find
P A  B  if A and B are mutually exclusive.
a. 0.6445
b. 0.1155
c. 0
d. 0.76
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 42
Given that P(A) = 0.21, P(B) = 0.55, find
P A  B  if A and B are mutually exclusive.
a. 0.6445
b. 0.1155
c. 0
d. 0.76
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 43
A spinner has regions numbered 1 through 15.
What is the probability that the spinner will
stop on an even number or a multiple of 3?
a.
7
9
b.
2
3
c.
1
3
d.
12
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 44
A spinner has regions numbered 1 through 15.
What is the probability that the spinner will
stop on an even number or a multiple of 3?
a.
7
9
b.
2
3
c.
1
3
d.
12
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 45
The psychology lab at a college is staffed by 6
male doctoral students, 12 female doctoral
students, 14 male undergraduates and 7 female
undergraduates. If a person is selected at random
from the group, find the probability that the
selected person is an undergraduate or a female.
a.
2
3
7
c.
13
Copyright © 2009 Pearson Education, Inc.
b.
11
13
d.
19
39
Slide 10 - 46
The psychology lab at a college is staffed by 6
male doctoral students, 12 female doctoral
students, 14 male undergraduates and 7 female
undergraduates. If a person is selected at random
from the group, find the probability that the
selected person is an undergraduate or a female.
a.
2
3
7
c.
13
Copyright © 2009 Pearson Education, Inc.
b.
11
13
d.
19
39
Slide 10 - 47
A bag contains 6 red marbles, 4 blue marbles,
and 1 green marble. What is the probability of
choosing a marble that is not blue when one
marble is drawn from the bag?
7
a.
11
b.
11
7
4
c.
11
d.
7
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 48
A bag contains 6 red marbles, 4 blue marbles,
and 1 green marble. What is the probability of
choosing a marble that is not blue when one
marble is drawn from the bag?
7
a.
11
b.
11
7
4
c.
11
d.
7
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 49
What is the probability that at least 2 people
have the same birth month in a group of 8
people?
a. 0.956
b. 0.046
c. 0.954
d. 0.044
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 50
What is the probability that at least 2 people
have the same birth month in a group of 8
people?
a. 0.956
b. 0.046
c. 0.954
d. 0.044
Copyright © 2009 Pearson Education, Inc.
Slide 10 - 51