8-1 introduction to probabilityintroduction to probability 8-2 experimental probabilityexperimental...

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8-1 Introduction to Probability 8-2 Experimental Probability 8-3 Theoretical Probability 8-4 Sample Spaces 8-5 Disjoint Events 8-6 Independent and Dependent Events 8-7 Making Predictions Preview Preview Lesson Lesson Quizzes Quizzes

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Page 1: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

8-1 Introduction to Probability8-2 Experimental Probability8-3 Theoretical Probability8-4 Sample Spaces8-5 Disjoint Events8-6 Independent and Dependent Events8-7 Making Predictions

PreviewPreview

Lesson QuizzesLesson Quizzes

Page 2: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz: Part I

Determine whether each event is impossible, unlikely, as likely as not, likely, or certain.

1. Bonnie’s Spanish club meets on Tuesday afternoons. How likely is it that Bonnie is at the mall on Tuesday afternoon?

2. There are 12 SUVs and 12 vans in a parking lot. How likely is it that the next vehicle to move is a van?

unlikely

as likely as not

8-1 Introduction to Probability

Page 3: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz: Part IIDetermine whether each event is impossible, unlikely, as likely as not, likely, or certain.

3. A bag holds 4 red marbles, 3 green marbles, 3 yellow marbles, and 2 blue marbles. You pull one without looking. The probability of pulling a green marble is . What is the probability of pulling a marble that is not green?3 4

4. Tim never listens to his MP3 player during classes. If Tim is in math class, how likely is it that he is listening to his MP3 player?impossible

1

4

8-1 Introduction to Probability

Page 4: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz

1. In a soccer shoot-out, Bryan made 4 out of 9 goals. What is the experimental probability that he will make the next shot?

2. It has rained on the last 2 out of 10 Fourth of July parades in Swanton. A. What is the experimental probability that it

will rain on the parade this year?

B. What is the experimental probability that itwill not rain on the parade this year?

15

49

45

8-2 Experimental Probability

Page 5: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson QuizFind the probabilities. Write your answer as a ratio, as a decimal to the nearest hundredth, and as a percent to the nearest whole percent. You have 11 cards, each with one of the letters from the word mathematics.

1. Find the probability of drawing an m from the pile of shuffled cards.

2. Find the probability of drawing a vowel. 3. Find the probability of drawing a consonant.

211

, 0.18, 18% 4 11

, 0.36, 36%

711

, 0.64, 64%

8-3 Theoretical Probability

Page 6: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz1. Ian tosses 3 pennies. Use a tree diagram to find

all the possible outcomes. What is the probability that all 3 pennies will land heads up?

What are all the possible outcomes? How many outcomes are in the sample space?

2. a three question true-false test

3. choosing a pair of co-captains from the following athletes: Anna, Ben, Carol, Dan, Ed, Fran

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT;

15 possible outcomes: AB, AC, AD, AE, AF, BC, BD, BE, BF, CD, CE, CF, DE, DF, EF

1 8

8 possible outcomes: TTT, TTF, TFT, TFF, FTT, FTF, FFT, FFF

8-4 Sample Spaces

Page 7: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz: Part I1. Determine whether choosing a fiction book or a

nonfiction book is a set of disjoint events. Explain.

Find the probability of each set of disjoint events.

2. Choosing an O or an E from the letters in outcome

3. Rolling an odd number or a 6 on a number cube

Disjoint; you cannot choose a book that is both fiction and nonfiction.

3 7

2 3

8-5 Disjoint Events

Page 8: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz: Part II

4. David rolls two number cubes at the same time. If the product of the numbers rolled is 25 or 30, he will win the game. Use a grid to find the sample space. The find the probability that David will win the game.1 12

8-5 Disjoint Events

Page 9: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson QuizDecide whether each event is independent or dependent. Explain.

1. Mary chooses a game piece from a board game, and then Jason chooses a game piece from three remaining pieces.

2. Find the probability of spinning an evenly divided spinner numbered 1–8 and getting a composite number on one spin and getting an odd number on a second spin.

Dependent; Jason has fewer pieces from which to choose.

316

3. A baseball player has a 10% chance of hitting the ball on each turn at bat. What is the probability that the player will hit the ball on each of his next 2 turns at bat?

1%

8-6 Independent and Dependent Events

Page 10: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz: Part I

1. The owner of a local pizzeria estimates that 72% of his customers order pepperoni on their on their pizza. Out of 250 orders taken in one day, how many would you predict to have pepperoni? about 180

8-7 Making Predictions

Page 11: 8-1 Introduction to ProbabilityIntroduction to Probability 8-2 Experimental ProbabilityExperimental Probability 8-3 Theoretical ProbabilityTheoretical

Lesson Quiz: Part II

2. A bag contains 9 red chips, 4 blue chips, and 7 yellow chips. You pick a chip from the bag, record its color, and put the chip back in the bag. If you do this 100 times, how many times do you expect to remove a yellow chip from the bag?

3. A quality-control inspector has determined that 3% of the items he checks are defective. If the company he works for produces 3,000 items per day, how many does the inspector predict will be defective?

about 35

about 90

8-7 Making Predictions