Extra Practice: Module 1.1 Review Please note that this is NOT a practice test. This is just a worksheet with extra questions. 1. Write each in fraction, decimal, and percent form. 5 b. 2.45 c. 38% a. 8

4 9

d.

e. .006

2. Given a six-sided number cube, what is the probability of rolling a prime number? Write your answer a reduced fraction, decimal, and percent. 3. You are a student in a 7th grade math class and you want to create an experiment for your class with red, yellow, and purple marbles in a bag. You want the theoretical probability of drawing a red marble to be ½. If the total number of marbles in the bag will be 160, how many red marbles should you put in the bag? Write your answer as a reduced fraction, decimal, and percent. 4. If you roll two six-sided number cubes (dice), what is the probability of getting a sum of 10? Write your answer as a reduced fraction, decimal, and percent. 5. Use the table below which shows the sums when two six-sided number cubes (dice) have been rolled 10 times. Trial Sum

1 8

2 2

3 6

4 9

5 8

6 6

7 5

8 6

9 7

10 9

a. What is the experimental probability of rolling a sum of 6 based on the table above? b. What is the theoretical probability of rolling a sum of 6? c. How does the experimental probability compare to the theoretical probability of rolling a sum of 6? 6. After 56 spins, Chris landed on bird 14 times.

Bird

Raccoon

Bird

Gorilla

Camel

Raccoon

Okapi

Raccoon

a. What is the experimental probability of landing on bird? b. What is the theoretical probability of landing on bird? c. List the sample space. Use set notation.

7. There is a bag of pink, purple, and black marbles. There is an 28% possibility of randomly picking a pink marble and a 56% chance of randomly picking a black marble. What is the probability of picking a purple marble? Write your answer as a fraction, decimal, and percent.

8. Talia has a bag containing 9 black tiles and 6 pink tiles. Talia pulls one tile out at a time and returns it. a. What is the sample space? b. What is the probability that Talia will pick a pink tile? c. If Talia picks a tile from the bag and returns it 30 times, predict how many times you would expect her to pick a black tile. Explain your reasoning. d. Explain why the experimental probability of drawing a black tile can never be greater than one.

Extra Practice: Module 1.1 Review - KEY Please note that this is NOT a practice test. This is just a worksheet with extra questions. 1. Write each in fraction, decimal, and percent form. 5 b. 2.45 49/20, c. 38% 19/50, a. 8 .625, 62.5% 245% .38

4 9

d.

4

. 4� , 44 9 %

e. .006 0.6%, 3/500

2. Given a six-sided number cube, what is the probability of rolling a prime number? Write your answer a reduced fraction, decimal, and percent. P(prime number) = ½, 0.5, 50% 3. You are a student in a 7th grade math class and you want to create an experiment for your class with red, yellow, and purple marbles in a bag. You want the theoretical probability of drawing a red marble to be ½. If the total number of marbles in the bag will be 160, how many red marbles should you put in the bag? Write your answer as a reduced fraction, decimal, and percent. 80 red marbles, ½, 0.5, 50% of the bag 4. If you roll two six-sided number cubes (dice), what is the probability of getting a sum of 10? Write your 1 answer as a reduced fraction, decimal, and percent. P(sum of 10) = 1/12, . 83� , 83 % 3

5. Use the table below which shows the sums when two six-sided number cubes (dice) have been rolled 10 times. Trial Sum

1 8

2 2

3 6

4 9

5 8

6 6

7 5

8 6

9 7

10 9

a. What is the experimental probability of rolling a sum of 6 based on the table above? P(sum of 6) = 3/10, 30%, 0.3 b. What is the theoretical probability of rolling a sum of 6? � , 13 8 % P(sum of 6) = 5/36, . 138 9 c. How does the experimental probability compare to the theoretical probability of rolling a sum of 6? The experimental probability is greater than the theoretical probability. Reasons will vary. 6. After 56 spins, Chris landed on bird 14 times. a. Bird

Raccoon

Bird

Gorilla

Camel

Raccoon

Okapi

Raccoon

What is the experimental probability of landing on bird? P(bird) = 1/4

b. What is the theoretical probability of landing on bird? P(bird) = 1/4 c. List the sample space. Use set notation. {bird, raccoon, gorilla, camel, okapi}

7. There is a bag of pink, purple, and black marbles. There is an 28% possibility of randomly picking a pink marble and a 56% chance of randomly picking a black marble. What is the probability of picking a purple marble? Write your answer as a fraction, decimal, and percent. P(purple) = 16%, 0.16, 4/25 8. Talia has a bag containing 9 black tiles and 6 pink tiles. Talia pulls one tile out at a time and returns it. a. What is the sample space? {black, pink} b. What is the probability that Talia will pick a pink tile? P(pink) = 2/5, 0.4, 40% c. If Talia picks a tile from the bag and returns it 30 times, predict how many times you would expect her to pick a black tile. Explain your reasoning. P(black) = 3/5, 0.6, 60%. So, I predict that Talia will pick 18 black tiles in 30 draws. d. Explain why the experimental probability of drawing a black tile can never be greater than one. If Talia is only picking 30 times, the maximum the experimental probability can be is 30/30 or 1. The observed frequency cannot be greater than the number of trials.