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Slide 10 - 1 Copyright © 2009 Pearson Education, Inc. 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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Slide 10 - 2 Copyright © 2009 Pearson Education, Inc. Write down all the subsets of {x, y, z}. a. b. c. d.

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Slide 10 - 3 Copyright © 2009 Pearson Education, Inc. Write down all the subsets of {x, y, z}. a. b. c. d.

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Slide 10 - 4 Copyright © 2009 Pearson Education, Inc. a.10 b.12 c.14 d.9

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Slide 10 - 5 Copyright © 2009 Pearson Education, Inc. a.10 b.12 c.14 d.9

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Slide 10 - 6 Copyright © 2009 Pearson Education, Inc. a.44 b.38 c.50 d.45 Use the Venn Diagram to find how many are not in C.

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Slide 10 - 7 Copyright © 2009 Pearson Education, Inc. a.44 b.38 c.50 d.45 Use the Venn Diagram to find how many are not in C.

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Slide 10 - 8 Copyright © 2009 Pearson Education, Inc. a.25b.5 c.15d.35 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?

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Slide 10 - 9 Copyright © 2009 Pearson Education, Inc. a.25b.5 c.15d.35 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?

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Slide 10 - 10 Copyright © 2009 Pearson Education, Inc. a.150 b.18 c.50 d.300 A restaurant offers a choice of 5 salads, 10 main courses, and 3 desserts. How many possible 3- course meals are there?

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Slide 10 - 11 Copyright © 2009 Pearson Education, Inc. a.150 b.18 c.50 d.300 A restaurant offers a choice of 5 salads, 10 main courses, and 3 desserts. How many possible 3- course meals are there?

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Slide 10 - 12 Copyright © 2009 Pearson Education, Inc. a.6 b.676,000 c.36 d.260 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?

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Slide 10 - 13 Copyright © 2009 Pearson Education, Inc. a.6 b.676,000 c.36 d.260 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?

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Slide 10 - 14 Copyright © 2009 Pearson Education, Inc. a.12 b.4 c.24 d.6 4 different books are to be arranged on a shelf. How many different arrangements are possible?

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Slide 10 - 15 Copyright © 2009 Pearson Education, Inc. a.12 b.4 c.24 d.6 4 different books are to be arranged on a shelf. How many different arrangements are possible?

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Slide 10 - 16 Copyright © 2009 Pearson Education, Inc. a.17,576,000 b.3095.2381 c.12,654,720 d.15,600,000 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?

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Slide 10 - 17 Copyright © 2009 Pearson Education, Inc. a.17,576,000 b.3095.2381 c.12,654,720 d.15,600,000 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?

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Slide 10 - 18 Copyright © 2009 Pearson Education, Inc. a.2520 b.5040 c.151,200 d.210 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?

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Slide 10 - 19 Copyright © 2009 Pearson Education, Inc. a.2520 b.5040 c.151,200 d.210 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?

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Slide 10 - 20 Copyright © 2009 Pearson Education, Inc. a.36,288,000 b.646,646 c.42,000 d.165 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?

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Slide 10 - 21 Copyright © 2009 Pearson Education, Inc. a.36,288,000 b.646,646 c.42,000 d.165 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?

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Slide 10 - 22 Copyright © 2009 Pearson Education, Inc. a.3,628,800 b.453,600 c.907,200 d.45,360 How many different 10-letter words (real or imaginary) can be formed from the letters in the word PHILOSOPHY?

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Slide 10 - 23 Copyright © 2009 Pearson Education, Inc. a.3,628,800 b.453,600 c.907,200 d.45,360 How many different 10-letter words (real or imaginary) can be formed from the letters in the word PHILOSOPHY?

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Slide 10 - 24 Copyright © 2009 Pearson Education, Inc. a.140 b.9 c.15 d.35 How many different vertical arrangements are there of 7 flags if 3 are white, 3 are blue, and 1 is red?

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Slide 10 - 25 Copyright © 2009 Pearson Education, Inc. a.140 b.9 c.15 d.35 How many different vertical arrangements are there of 7 flags if 3 are white, 3 are blue, and 1 is red?

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Slide 10 - 26 Copyright © 2009 Pearson Education, Inc. a.Yes b.No Determine whether the following is a probability model. OutcomeProbability Red0.24 Blue0.26 Green0.31 White0.19

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Slide 10 - 27 Copyright © 2009 Pearson Education, Inc. a.Yes b.No Determine whether the following is a probability model. OutcomeProbability Red0.24 Blue0.26 Green0.31 White0.19

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Slide 10 - 28 Copyright © 2009 Pearson Education, Inc. a.Yes b.No Determine whether the following is a probability model. OutcomeProbability Red0.16 Blue0.23 Green0.35 White0.50

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Slide 10 - 29 Copyright © 2009 Pearson Education, Inc. a.Yes b.No Determine whether the following is a probability model. OutcomeProbability Red0.16 Blue0.23 Green0.35 White0.50

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Slide 10 - 30 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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.

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Slide 10 - 31 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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.

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Slide 10 - 32 Copyright © 2009 Pearson Education, Inc. a.b. c.d. Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 5?

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Slide 10 - 33 Copyright © 2009 Pearson Education, Inc. a.b. c.d. Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice will be 5?

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Slide 10 - 34 Copyright © 2009 Pearson Education, Inc. a.b. c.d. What is the probability that the arrow will land on an odd number, assuming all sectors have equal area?

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Slide 10 - 35 Copyright © 2009 Pearson Education, Inc. a.b. c.d. What is the probability that the arrow will land on an odd number, assuming all sectors have equal area?

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Slide 10 - 36 Copyright © 2009 Pearson Education, Inc. a.b. c.d. Find the probability of getting 2 tails when 3 fair coins are tossed.

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Slide 10 - 37 Copyright © 2009 Pearson Education, Inc. a.b. c.d. Find the probability of getting 2 tails when 3 fair coins are tossed.

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Slide 10 - 38 Copyright © 2009 Pearson Education, Inc. a.b. c.d. Find the probability of having 4 girls in a 4- child family.

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Slide 10 - 39 Copyright © 2009 Pearson Education, Inc. a.b. c.d. Find the probability of having 4 girls in a 4- child family.

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Slide 10 - 40 Copyright © 2009 Pearson Education, Inc. a.0.75b.0.87 c.0.93d.0.81 Given that P(A) = 0.62, P(B) = 0.25, and

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Slide 10 - 41 Copyright © 2009 Pearson Education, Inc. a.0.75b.0.87 c.0.93d.0.81 Given that P(A) = 0.62, P(B) = 0.25, and

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Slide 10 - 42 Copyright © 2009 Pearson Education, Inc. a.0.6445b.0.1155 c.0d.0.76 Given that P(A) = 0.21, P(B) = 0.55, find if A and B are mutually exclusive.

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Slide 10 - 43 Copyright © 2009 Pearson Education, Inc. a.0.6445b.0.1155 c.0d.0.76 Given that P(A) = 0.21, P(B) = 0.55, find if A and B are mutually exclusive.

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Slide 10 - 44 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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?

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Slide 10 - 45 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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?

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Slide 10 - 46 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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.

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Slide 10 - 47 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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.

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Slide 10 - 48 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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?

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Slide 10 - 49 Copyright © 2009 Pearson Education, Inc. a.b. c.d. 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?

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Slide 10 - 50 Copyright © 2009 Pearson Education, Inc. a.0.956b.0.046 c.0.954d.0.044 What is the probability that at least 2 people have the same birth month in a group of 8 people?

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Slide 10 - 51 Copyright © 2009 Pearson Education, Inc. a.0.956b.0.046 c.0.954d.0.044 What is the probability that at least 2 people have the same birth month in a group of 8 people?

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