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**Counting and Probability**

Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc. All rights reserved. Chapter 10 Counting and Probability

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**Write down all the subsets of {x, y, z}.**

c. d.

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**Write down all the subsets of {x, y, z}.**

c. d.

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a. 10 b. 12 c. 14 d. 9

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a. 10 b. 12 c. 14 d. 9

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**Use the Venn Diagram to find how many are not in C.**

b. 38 c. 50 d. 45

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**Use the Venn Diagram to find how many are not in C.**

b. 38 c. 50 d. 45

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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

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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

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A restaurant offers a choice of 5 salads, 10 main courses, and 3 desserts. How many possible 3-course meals are there? a. 150 b. 18 c. 50 d. 300

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A restaurant offers a choice of 5 salads, 10 main courses, and 3 desserts. How many possible 3-course meals are there? a. 150 b. 18 c. 50 d. 300

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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

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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

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**4 different books are to be arranged on a shelf**

4 different books are to be arranged on a shelf. How many different arrangements are possible? a. 12 b. 4 c. 24 d. 6

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**4 different books are to be arranged on a shelf**

4 different books are to be arranged on a shelf. How many different arrangements are possible? a. 12 b. 4 c. 24 d. 6

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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 c. 12,654,720 d. 15,600,000

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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 c. 12,654,720 d. 15,600,000

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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

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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

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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

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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

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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

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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

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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

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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

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**Determine whether the following is a probability model.**

Outcome Probability Red 0.24 Blue 0.26 Green 0.31 White 0.19 a. Yes b. No

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**Determine whether the following is a probability model.**

Outcome Probability Red 0.24 Blue 0.26 Green 0.31 White 0.19 a. Yes b. No

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**Determine whether the following is a probability model.**

Outcome Probability Red 0.16 Blue 0.23 Green 0.35 White 0.50 a. Yes b. No

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**Determine whether the following is a probability model.**

Outcome Probability Red 0.16 Blue 0.23 Green 0.35 White 0.50 a. Yes b. No

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**A bag contains 6 red marbles, 7 blue marbles, and 8 green marbles**

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. b. c. d.

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**A bag contains 6 red marbles, 7 blue marbles, and 8 green marbles**

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. b. c. d.

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**Two 6-sided dice are rolled**

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 5? a. b. c. d.

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**Two 6-sided dice are rolled**

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 5? a. b. c. d.

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What is the probability that the arrow will land on an odd number, assuming all sectors have equal area? a. b. c. d.

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What is the probability that the arrow will land on an odd number, assuming all sectors have equal area? a. b. c. d.

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**Find the probability of getting 2 tails when 3 fair coins are tossed.**

c. d.

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**Find the probability of getting 2 tails when 3 fair coins are tossed.**

c. d.

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**Find the probability of having 4 girls in a 4-child family.**

c. d.

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**Find the probability of having 4 girls in a 4-child family.**

c. d.

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**Given that P(A) = 0.62, P(B) = 0.25, and**

a b. 0.87 c d. 0.81

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**Given that P(A) = 0.62, P(B) = 0.25, and**

a b. 0.87 c d. 0.81

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**Given that P(A) = 0.21, P(B) = 0.55, find**

if A and B are mutually exclusive. a b c. 0 d. 0.76

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**Given that P(A) = 0.21, P(B) = 0.55, find**

if A and B are mutually exclusive. a b c. 0 d. 0.76

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**A spinner has regions numbered 1 through 15**

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. b. c. d.

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**A spinner has regions numbered 1 through 15**

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. b. c. d.

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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. b. c. d.

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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. b. c. d.

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**A bag contains 6 red marbles, 4 blue marbles, and 1 green marble**

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? a. b. c. d.

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**A bag contains 6 red marbles, 4 blue marbles, and 1 green marble**

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? a. b. c. d.

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**What is the probability that at least 2 people have the same birth month in a group of 8 people?**

c d

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**What is the probability that at least 2 people have the same birth month in a group of 8 people?**

c d

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