LESSON Making Predictions with Theoretical Probability 13-3 ...

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LESSON Making Predictions with Theoretical Probability

13-3

Practice and Problem Solving: A/B

In each odd-numbered question, find the theoretical probability. Then use that probability to make a prediction in the even-numbered question that follows it.

1. Martin flips a coin. What is the probability that the coin will land on heads?

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3. A spinner is divided into five equal sections labeled 1 to 5. What is the probability that the spinner will land on 3?

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5. Harriet rolls a number cube. What is the probability that the number cube will land on 3 or 4?

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7. A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the probability that the marble will be black?

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2. Martin flips the coin 64 times. How many times can Martin expect the coin to land on heads?

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4. If the spinner is spun 60 times, how many times can you expect the spinner to land on 3?

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6. If Harriet rolls the number cube 39 times, how many times can she expect to roll a 3 or 4?

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8. If you pick a marble, record its color, and return it to the bag 200 times, how many times can you expect to pick a black marble?

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Make a prediction based on the theoretical probability.

9. Gill rolls a number cube 78 times. How many times can he expect to roll an odd number greater than 1?

10. Jenna flips two pennies 105 times. How many times can she expect both coins to come up heads?

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11. A shoebox holds a number of disks of the same size. There are 5 red, 6 white, and 7 blue disks. You pick out a disk, record its color, and return it to the box. If you repeat this process 250 times, how many times can you expect to pick either a red or white disk?

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12. Ron draws 16 cards from a deck of 52 cards. The deck is made up of cards of four different colors--red, blue, yellow, and green. How many of the cards drawn can Ron expect to be green?

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

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3. 4 possibilities

4. P = 4 25

Reading Strategies

1. There are 3 events: picking pants, shirts, and scarves; 2 pants ? 2 shirts ? 2 scarves give 8 choices. Answers will vary. Sample answer: Use a tree diagram.

2. There are two events: person, movie genre; 2 people ? 2 movie genres give 4 choices. Answers will vary. Sample answer: Use a list.

3. There are more than three events: 36 products and 36 sums. For an even product, there are 27 choices; for an even sum, there are 18 choices. Use a table.

Success for English Learners

1. They are duplicates. 2. Sample answer: The "doubles" such as

C-C ad GO-GO form a diagonal from upper left to lower right. 3. Sample answer: tree diagram

LESSON 13-3

Practice and Problem Solving: A/B

1. 1 2

2. 32

1 3.

5 4. 12

1 5.

3 6. 13

5 7.

8 8. 125 9. 26 10. about 26 11. about 153 12. 4

Practice and Problem Solving: C

1. a. 36 b. 5 36 c. 25 d. 25

2. a. 36 b. 20 c. 30 d. 85

3. a. 16 b. 36 c. 24

Practice and Problem Solving: D

1. 1 2

1 2.

3

1 3.

5

4. 2 5

5. 1 ? 4 = 1 ? 4 = 4 = 2 2 21 2

6. 1 ?16 = 1 ? 16 = 16 = 4

4

41 4

7. 1 ?12 = 1 ? 12 = 12 = 2

6

61 6

8. 1 ?15 = 1 ? 15 = 15 = 5

3

31 3

Reteach 1. 1 2 2. 10 1 3. 4 4. 20

Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

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