Unit 8 Schedule

Date Topic HW CDC Indicator 24:1/5/17 Simple Events (9.1R) See below1/6/17 Theoretical Probability (9.2R) See below

Indicator 25:1/9/17 STAR Testing1/10/17 Experimental Probability (9.3R) See below

Indicator 26:1/11/17 Tree Diagrams and Counting Principle See below1/12/17 Compound Probability (9.4R) See below1/13/17 Compound Probability (9.4R) See below

1/17/17 Review Indicators 24 – 261/18/17 Review Unit 8 CDC due1/19/17 Unit 8 Test

*** Unit 8 CDC Due January 18, 2017– No late CDC’s will be accepted. (Unless due to an excused absence.)

David is getting dressed in the dark. He reaches into the drawer where there are 5 shirts (1 blue, 1 red, 1 orange, 1 green, and 1 yellow). Then, he reaches into a second drawer where there are 6 pairs of pants (1 khaki pant, 2 blue jeans, 1 black pant, 1 white pant, and 1 navy pant). In his sock drawer, there are 3 pairs of socks (white, gray, and blue). What is the probability that he steps out of the room wearing a red shirt, blue jeans and blue socks?

Simple Events Homework – January 5, 2017______________________________________________________

You randomly choose one of the tiles shown below. What is the probability for each of the following events?

1. Choosing a 4 2. Choosing an even number

3. Choosing a number less than 2 4. Choosing an odd number greater than 6

5. Choosing a number divisible by 2 6. Choosing a number greater than 10

You randomly choose one shape from the bag. What is the probability for each of the following events?

7. Choosing a triangle

8. Choosing a star

9. Choosing not a square

10. Choosing not a circle

11. A beverage cooler contains bottles of orange juice and apple juice. There are 44 bottles in the cooler.

a. You are equally likely to randomly choose a bottle of orange juice or a bottle of apple juice from the cooler. How many of the bottles are apple juice?

b. Two of the bottles of orange juice are replaced with apple juice. What is the probability that you randomly choose a bottle of apple juice from the cooler?

12. Three girls and four boys made the final round of the spelling bee.

a. What is the probability that you randomly choose a girl to be the first contestant?

b. Given that part (a) occurred, what is the probability that you randomly choose a girl to be the second contestant?

Theoretical Probability Homework - January 6, 2017_______________________________________________

Use the spinner to determine the theoretical probability of the event.

1. Spinning a 3

2. Spinning an even number

3. Spinning a number greater than 2

4. Spinning a multiple of 3

5. Each letter of the word ENGLISH is written on a separate index card. What is the theoretical probability of randomly choosing a card that contains a vowel?

6. The theoretical probability of winning a prize in a cereal box is There are 40 cereal

boxes on the supermarket shelf. How many contain a prize?

A number cube is rolled. Determine if the game is fair. If it is not fair, who has the greater probability of winning?

7. You win if the number is even. Your friend wins if the number is less than 5.

8. You win if the number is divisible by 3. Your friend wins if the number is 1 or 6.

9. An event has a theoretical probability of What does this mean?

10. There are 15 cars in the parking lot that are white and 25 cars that are not white. What is the theoretical probability of randomly selecting a car that is not white?

Experimental Probability Homework - January 10,2017_____________________________________________

You have two sticks. Each stick has one blue side and one pink side. You throw the sticks 10 times and record the results. Use the table to find the experimental probability of the event.

1. Tossing 2 pink

2. Tossing 1 blue and 1 pink

3. Not tossing all pink

4. Tossing 2 blue

5. You check 15 bananas. Six of the bananas are bruised.

a. What is the experimental probability that a banana is bruised?

b. What is the experimental probability that a banana is not bruised.

6. Sixteen students have cell phones. Five of the cell phones have touch screens.

a. What is the experimental probability that a student's cell phone has a touch screen?

b. Out of 144 students with cell phones, how many would you expect to have a touch screen?

You flip a coin twice. You repeat this process 12 times. The table gives the results.

7. Use the first table to find the experimental probability of each outcome.

8. Based upon experimental probability, which outcome is most likely?

9. The second table gives the possible outcomes offlipping a coin twice. Each of these outcomes isequally likely. What is the theoretical probability of getting 1 tail?

10. Compare your answers to Exercises 8 and 9.

Tree Diagrams and Counting Principle Homework – January 11, 2017_________________________________For each situation,

A. Create a tree diagram showing all possible choices available.B. Use the Counting Principle to find the number of possible choices available.

1. growing tulips, roses, or daisies in either pink, white, or yellow2. taking a sculpture or woodworking class at either a school, a community center, or a museum3. At the after school Tiger Club meeting, there were four drinks you could choose from: orange juice,

Coke, Dr. Pepper, and water. There were three snacks you could choose from: peanuts, fruit, and cookies. Each student may only have one drink and one snack.

4. Tanya went shopping and bought the following items: one red t-shirt, one blue blouse, one white t-shirt, one floral blouse, one pair of khaki capri pants, one pair of black pants, one pair of white capri pants, and one pair of denim shorts. How many outfits can she make from these?

Outcome Frequency

2 blue 1

2 pink 3

1 blue, 1 pink 6

Outcome Frequency

2 Heads 2

1 Head, 1 Tail 7

2 Tails 3

1st Flip 2nd Flip

Head Head

Head Tail

Tail Head

Tail Tail

Compound Probability Homework #1 – January 12, 2017____________________________________________

Tell whether the events are independent or dependent. Explain.

1. You spin a spinner twice.

First Spin: You spin a 2. Second Spin: You spin an odd number.

2. You randomly draw a tile from a bag of 20 game tiles. You keep the tile and then draw a second tile.

First Draw: Move 3 spaces Second Draw: Skip a Turn

3. You randomly draw a tile from a bag of 20 game tiles. You put the tile back in and then draw a second tile.

First Draw: Move 3 spaces Second Draw: Skip a Turn

A spinner has two equal sections labeled A and B. You spin it three times. Use the tree diagram to find the probability of the events.

4. Spinning an A, then an A, then a B

5. Spinning three Bs

6. Spinning two Bs, followed by an A

The students in Classroom 101 consist of 13 girls and 7 boys. The students in Classroom 103 consist of 8 girls and 12 boys. You randomly choose one student from each classroom. Find the probability of the events.

7. Choosing a boy from both classrooms

8. Choosing a girl from both classrooms

9. Choosing a girl from Classroom 101 and a boy from Classroom 103

10. Choosing a boy from Classroom 101 and a girl from Classroom 103

Compound Probability Homework #2 – January 13, 2017____________________________________________

Tell whether the events are independent or dependent. Explain.

1. You throw the bowling ball at the pins. There are 10 pins standing for the first throw and 4 pins standing for the second throw.

First Throw: You knock down 6 pins. Second Throw: You knock down 1 pin.

2. You roll a number cube twice.

First Roll: You roll an odd number. Second Roll: You roll a number less than 2.

3. You randomly pick a straw from the holder containing 15 red straws and 8 yellow straws. You put the straw back in and then draw a second straw.

First Pick: You pick a yellow straw. Second Pick: You pick a red straw.

4. You randomly pick a straw from the holder containing 15 red straws and 8 yellow straws. You keep the straw and then draw a second straw.

First Pick: You pick a yellow straw. Second Pick: You pick a red straw.

Solve.

5. The drawer contains 18 spoons and 12 forks. You randomly choose two utensils. What is the probability that both utensils are spoons?

6. You won two free picks at the video arcade. You pick one ticket from a container that consists of 6 free-game tickets and 4 free-prize tickets. You pick another ticket from a container that consists of three 10-free-tokens tickets and five 20-free-tokens tickets. What is the probability that you picked a free-game ticket and a 20-free-tokens ticket?

The students in Classroom 101 consist of 13 girls and 7 boys. Find the probability of the events.

7. You randomly choose 2 students from Classroom 101 to compete in a competition.

a. First Choice: girl Second Choice: girl

b. First Choice: boy Second Choice: girl

c. First Choice: girl Second Choice: boy

d. First Choice: boy Second Choice: boy

8. A jar holds 15 red pencils and 10 blue pencils. What is the probability of drawing two red pencils from the jar without replacement?