Compound Probability

Compound Probability 2020

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Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

Multiple Choice

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

Multiple Choice

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.

P(both red)

• 5/144

• 5/138

• 25/140

• 25/144

Multiple Choice

A standard die is rolled twice. Find each probability.

P (odd both times)

• 1/2

• 1/4

• 2/3

• 1/9

Multiple Choice

Find the probability of each set of independent events.

rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

• 1/12

• 1/6

• 1/8

• 1/2

Multiple Choice

Find the probability of each set of independent events.

flipping a tail on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

• 1/2

• 1/7

• 1/5

• 1/10

Multiple Choice

An event that consists of two or more events

•  event
• dependent events
• experiment
• compound event

Multiple Choice

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

Multiple Choice

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

• 1 / 16
• 1 ⁄ 6
• 1 ⁄ 8
• 3 ⁄ 4

Fill in the Blank

A game requires players to roll two number cubes to move the game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of rolling a 2 or 4 on the first number cube and then rolling a 5 on the second cube?

Multiple Choice

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Multiple Choice

An event is DEPENDENT, if...

• The first event has no affect on the next event

• The first event affects the second event

Multiple Choice

How do you do the Fundamental Counting Principle?

• You multiply the categories by 2.

• You add all the categories together.

• You add the number of options in each category.

• You multiply the number of options in each category.

Multiple Choice

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

Multiple Choice

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Multiple Choice

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Multiple Choice

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

Multiple Choice

If you roll a die then flip a coin, how many possible outcomes?

• 2
• 6
• 12
• 64

IXL Time

• 7th DD.9 Probability of compound events

• 7th DD.11 Probability of independent and dependent events

• 7th DD.12 Counting principle

Compound Probability

​

Objectives

Learning Objectives: Students will identify independent and dependent probability and determine the probability of compound events.

Language Objective: Students will express their reasoning in written form.

Warm Ups: Percent

Multiple Choice

What is 2% of 50?

• .25

• .50

• 1

• 2

Multiple Choice

12% of what number is 48?

• .50

• .84

• 4

• 400

Vocabulary

A compound probability is a probability involving two or more events, for example, the probability of Event A and Event B happening.

For example the compound probability may be like the following:

A. What’s the probability of flipping a coin twice and having it come up heads both times?

B. P(Comes up heads) =

C. P(1^st flip comes up heads AND 2^nd flip comes up heads) =

Vocabulary

Independent Probability: The outcome of one event does not effect the outcome of the other event. *Look for words like: replace, replacement, put back*

Example: Rolling a six-sided die and spinning a spinner.

Vocabulary

Dependent Probability: The outcome of one event affects the outcome of the other event. *Look for words like: without replacement, at the same time, or one afer another.*

Example: Suppose two M&M’s are drawn from the bag above. The first M&M is not replaced before the second M&M is drawn.  

Example 1

Tell whether the events are dependent or independent.

A) One tossed coin landing heads and the next landing tails.

B) Drawing two cards from a deck of cards at the same time.

Multiple Choice

Tell whether the events are dependent or independent.

Rolling two sixes in a row on a number cube.

• Independent

• Dependent

Multiple Choice

Tell whether the events are dependent or independent.

Drawing a blue tile from a bag and then drawing a red tile without replacing the first tile.

• Independent

• Dependent

Multiplication Rule

The probability that Events A and B both occur is equal to the probability that Event A occurs times the probability that Event B occurs, given that A has occurred.

Formula: Independent Event (with replacement)

Multiple Choice

A bag contains 4 blue marbles, 6 green marbles and 3 yellow marbles. If two marbles are drawn at random from the bag.

What’s the probability of drawing a green marble, replacing it, and then drawing a yellow marble?

• 
  

  $\frac{9}{13}$

• $\frac{54}{13}$

• $\frac{9}{169}$

• $\frac{18}{169}$

Formula: Dependent Event (without replacement)

Multiple Choice

A bag contains 4 blue marbles, 6 green marbles and 3 yellow marbles. If two marbles are drawn at random from the bag.

What’s the probability of drawing a green marble, without replacing it, and then drawing a yellow marble?

• $\frac{3}{25}$

• $\frac{9}{25}$

• $\frac{3}{26}$

• $\frac{9}{26}$

Homework s due on Monday.

​

Compound Probability 2020

​

Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

Multiple Choice

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

Multiple Choice

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.

P(both red)

• 5/144

• 5/138

• 25/140

• 25/144

Multiple Choice

A standard die is rolled twice. Find each probability.

P (odd both times)

• 1/2

• 1/4

• 2/3

• 1/9

Multiple Choice

Find the probability of each set of independent events.

rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

• 1/12

• 1/6

• 1/8

• 1/2

Multiple Choice

Find the probability of each set of independent events.

flipping a tail on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

• 1/2

• 1/7

• 1/5

• 1/10

Multiple Choice

An event that consists of two or more events

•  event
• dependent events
• experiment
• compound event

Multiple Choice

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

Multiple Choice

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

• 1 / 16
• 1 ⁄ 6
• 1 ⁄ 8
• 3 ⁄ 4

Fill in the Blank

A game requires players to roll two number cubes to move the game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of rolling a 2 or 4 on the first number cube and then rolling a 5 on the second cube?

Multiple Choice

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Multiple Choice

An event is DEPENDENT, if...

• The first event has no affect on the next event

• The first event affects the second event

Multiple Choice

How do you do the Fundamental Counting Principle?

• You multiply the categories by 2.

• You add all the categories together.

• You add the number of options in each category.

• You multiply the number of options in each category.

Multiple Choice

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

Multiple Choice

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Multiple Choice

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Multiple Choice

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

Multiple Choice

If you roll a die then flip a coin, how many possible outcomes?

• 2
• 6
• 12
• 64

IXL Time

• 7th DD.9 Probability of compound events

• 7th DD.11 Probability of independent and dependent events

• 7th DD.12 Counting principle

Compound Probability 2020

​

Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

Multiple Choice

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

Multiple Choice

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.

P(both red)

• 5/144

• 5/138

• 25/140

• 25/144

Multiple Choice

A standard die is rolled twice. Find each probability.

P (odd both times)

• 1/2

• 1/4

• 2/3

• 1/9

Multiple Choice

Find the probability of each set of independent events.

rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

• 1/12

• 1/6

• 1/8

• 1/2

Multiple Choice

Find the probability of each set of independent events.

flipping a tail on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

• 1/2

• 1/7

• 1/5

• 1/10

Multiple Choice

An event that consists of two or more events

•  event
• dependent events
• experiment
• compound event

Multiple Choice

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

Multiple Choice

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

• 1 / 16
• 1 ⁄ 6
• 1 ⁄ 8
• 3 ⁄ 4

Fill in the Blank

A game requires players to roll two number cubes to move the game pieces. The faces of the cubes are labeled 1 through 6. What is the probability of rolling a 2 or 4 on the first number cube and then rolling a 5 on the second cube?

Multiple Choice

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Multiple Choice

An event is DEPENDENT, if...

• The first event has no affect on the next event

• The first event affects the second event

Multiple Choice

How do you do the Fundamental Counting Principle?

• You multiply the categories by 2.

• You add all the categories together.

• You add the number of options in each category.

• You multiply the number of options in each category.

Multiple Choice

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

Multiple Choice

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Multiple Choice

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Multiple Choice

If you roll two dice, how many possible outcomes?

• 360
• 1
• 36
• 12

Multiple Choice

If you roll a die then flip a coin, how many possible outcomes?

• 2
• 6
• 12
• 64

IXL Time

• 7th DD.9 Probability of compound events

• 7th DD.11 Probability of independent and dependent events

• 7th DD.12 Counting principle

Compound Probability

by Jonesa Montgomery

LET'S REVIEW!!!!​

Multiple Choice

Theoretical Probability is?

• What Should happen
• What does happen
• What Will Happen
• What I want to Happen

Multiple Choice

Experimental Probability is:

• What Will happen 
• What actually happens
• What should happen
• What I think Happens

Multiple Choice

Rolling a 15 on a number cube is 

• Impossible
• Certain
• Unlikely
• Equally Likely

Multiple Choice

You flip a coin 20 times and record the results. Is this experimental or theoretical probability?

• Experimental
• Theoretical

Multiple Choice

What is the probability of spinning a red if we spin 30 times?

• 1/5
• 1/30
• 3/30
• 1/10

Simple Events in Probability​

There are two types of events in probability:

· Simple events

· Compound events

​

​Simple events involve only one event.

​To find the probability of a simple event use the formula:

P (event) = Number of favorable outcomes/Total number of possible outcomes

Multiple Choice

EXAMPLE If the spinner is spun once, find the probability for each event.

Write your answer as a fraction, decimal, and percent.

P(3)?

• 30%

• 90%

• 40%

• 20%

Multiple Choice

EXAMPLE- If the spinner is spun once, find the probability for each event.

Write your answer as a fraction, decimal, and percent.

P(not 7)?

• 30%

• 90%

• 40%

• 20%

Multiple Choice

EXAMPLE- If the spinner is spun once, find the probability for each event.

Write your answer as a fraction, decimal, and percent.

P(greater than 4)?

• 30%

• 90%

• 40%

• 20%

Multiple Choice

EXAMPLE-If the spinner is spun once, find the probability for each event.

Write your answer as a fraction, decimal, and percent.

P(12 or 10)?

• 30%

• 90%

• 40%

• 20%

Compound Events​

Compound events involve two or more simple events.

Compound events will use the words “or” and “and”.​

​· To find the probability that involves the word “OR” you will use addition (+).

P(A or B) = P (A) + P (B)

· To find the probability that involves the word “AND” you will use multiplication (×).

P(A and B) = P (A) • P (B)

Multiple Choice

EXAMPLE: The spinner is spun twice. What is the probability of each

of the following written as a fraction, decimal, and percent.

Landing on 8 the first spin and 3 on the second spin

• $$\frac{1}{10}$$  

• $$\frac{3}{10}$$  

• $$\frac{4}{100}$$  

• $$\frac{3}{100}$$  

Multiple Choice

EXAMPLE: The spinner is spun twice. What is the probability of each

of the following written as a fraction, decimal, and percent.

Landing on 2 or 3 the first spin and 7 on the second spin.

• $$\frac{1}{10}$$  

• $$\frac{3}{10}$$  

• $$\frac{4}{100}$$  

• $$\frac{3}{100}$$  

Multiple Choice

GP- Sharon has 24 colored paper clips in her desk drawer: 12 are red, 8 yellow, and 4 blue.

She also has 28 pushpins in her drawer: 11 are white, 14 orange, and 3 green.

1. If she picks one paper clip, what is the probability that it will be either blue or yellow?

• One Event; $$\frac{1}{2}$$  

• Two Events; $$\frac{11}{56}$$  

• Two Events; $$\frac{3}{56}$$  

Multiple Choice

GP- Sharon has 24 colored paper clips in her desk drawer: 12 are red, 8 yellow, and 4 blue.

She also has 28 pushpins in her drawer: 11 are white, 14 orange, and 3 green.

2) If she picks one paper clip and one pushpin, what is the probability of picking a red paper

clip and a white pushpin?

• One Event; $$\frac{1}{2}$$  

• Two Events; $$\frac{11}{56}$$  

• Two Events; $$\frac{3}{56}$$  

Multiple Choice

GP-Sharon has 24 colored paper clips in her desk drawer: 12 are red, 8 yellow, and 4 blue.

She also has 28 pushpins in her drawer: 11 are white, 14 orange, and 3 green.

3) If she picks two pushpins with replacement, what is the probability of picking a

green pushpin first and an orange pushpin second?

• One Event; $$\frac{1}{2}$$  

• Two Events; $$\frac{11}{56}$$  

• Two Events; $$\frac{3}{56}$$  

Multiple Choice

You roll a single die numbered 1 – 6 twice. What is the probability of rolling a 6 the first time and a 7 the second time.

• two events; $$\frac{1}{5}$$  

• two events; $$0$$  

• one event; $$\frac{4}{11}$$  

• two events; $$\frac{8}{121}$$  

Multiple Choice

The letters that form the word MISSISSIPPI are placed in a bowl. What is the probability of choosing a vowel?

• two events; $$\frac{1}{5}$$  

• two events; $$\frac{1}{36}$$  

• one event; $$\frac{4}{11}$$  

• two events; $$\frac{8}{121}$$  

Multiple Choice

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a vowel followed by an M

• two events; $$\frac{1}{5}$$  

• one event; $$\frac{4}{11}$$  

• two events; $$\frac{1}{36}$$  

• two events; $$\frac{8}{121}$$  

Multiple Choice

What is the probability of landing on tails and spinning a blue?

• two events; $$\frac{1}{5}$$  

• one event; $$\frac{4}{11}$$  

• two events; $$\frac{4}{11}$$  

• two events; $$\frac{8}{121}$$  

Compound Independent vs. Dependent

​

Independent Event

The events DO NOT affect each other (coin and dice)

The item is REPLACED (Marble is put back)

Dependent Events

The events DO AFFECT each other

The item is NOT REPLACED (Marble is NOT put back)

Multiple Choice

Independent or Dependent?

• Independent

• Dependent

Multiple Choice

Independent or Dependent?

• Independent

• Dependent

Multiple Choice

Independent or Dependent?

Kevin had 6 nickels and 4 dimes in his pocket. What is the probability he took out a dime, didn’t replace it and then grabbed another dime.

• Independent

• Dependent

Multiple Choice

What will happen to the probability of the second dime?

Kevin had 6 nickels and 4 dimes in his pocket. What is the probability he took out a dime, didn’t replace it and then grabbed another dime.

• Subtract 1 from the denominator

• Subtract 1 from the numerator

• Subtract 1 from the numerator AND denominator

• Nothing

Multiple Choice

Independent or Dependent?

• Independent

• Dependent

Multiple Choice

What will happen to the probability of the second tile?

• Subtract 1 from the denominator

• Subtract 1 from the numerator

• Subtract 1 from the numerator AND denominator

• Nothing, it is normal

Compound Probability

By Taylor Eddings

Independent Events

• Replacing a marble

• Rolling a dice

• Replacement

​

Independent event do not effect the other event.​

Dependent Events

• Not replacing a marble or card

• Rolling a dice and rolling again based on the first event

• No replacement

​

Dependent events effect the other event.​ It changes the outcome.

Multiple Choice

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Ms. Eddings picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 

• 9/16
• 3/4
• 9/144
• 5/16

Multiple Choice

If you flip a coin two times, is it independent or dependent probability?

• Independent

• Dependent

Multiple Choice

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

• Independent

• Dependent

Multiple Choice

If you flip a coin then roll a number cube, is it independent or dependent probability?

• Independent

• Dependent

Multiple Choice

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• dependent

• independent

Calculating Compound Probability

​To calculate the compound probability, you must multiply the probability of each event by each other. This will give you the combined probability of the events.

​

Example: What is the probability of Flipping Heads and Rolling a 6?​

The word AND tells us that it is a COMPOUND event.

​

P(heads)= 1/2 P(rolling a 6)= 1/6 1/2 * 1/6

P(heads and rolling a 6)= 1/12​

​

Multiple Choice

What is the probability of flipping a coin twice and landing on tails both times? (leave answer in fraction form in lowest terms)

• 1/2

• 2/2

• 4/1

• 1/4

Multiple Choice

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? (leave answer in fraction form in lowest terms)

• 9/49

• 16/49

• 12/42

• 12/49

Multiple Choice

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

• 9/49

• 1/7

• 3/14

• 6/42

Multiple Choice

What is the P(blue)?

(leave answer in fraction form in lowest terms)

• 1/3

• 1/6

• 1/2

• 2/6

Multiple Choice

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

• 1/6

• 1/9

• 1/36

• 1/30

Multiple Choice

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

• 2/105

• 4/343

• 2/63

• 4/210

Multiple Choice

You roll a 6-sided number cube. What is the probability of rolling an even number three times in a row? (leave answer in fraction form in lowest terms)

• 3/100

• 1/8

• 1/6

• 1/2

Multiple Choice

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Humperdink randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? (leave answer in fraction form in lowest terms)

• 1/30

• 4/125

• 1/10

• 9/49

Multiple Choice

When using a 6-sided number cube, what is the probability or rolling a 3, then not rolling a 3, and then rolling an even number? (leave answer in fraction form in lowest terms)

• 1/12

• 5/6

• 5/72

• 5/6

Multiple Choice

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag? (leave answer in fraction form in lowest terms)

• 1/16

• 1/4

• 1/2

• 1/8

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Multiple Choice

Probability of:
Spinning a 3
Drawing an A

• 2/8
• 1/4
• 1/16
• 1/8

Multiple Select

Mrs. Liang spins each of the spinners one time. What is the probability that the first spinner will land on an odd number and the second will land on a vowel?

• ¹/₁₂

• ¹/₄

• ¹/₃

• ¹/₆

Compound Probability Study Guide

​

Multiple Choice

Jake has a pair of red pants, black pants, blue pants, and jean pants. He also has a grey shirt and a green shirt. Which of the following shows how many different ways he can wear a shirt and pair of pants together?

• A

• B

• C

• D

Multiple Choice

A teacher places 14 colored pencils in a bag. 3 of the colored pencils are blue, 5 are red, and 6 are yellow. If a student draws one colored pencil from the bag, replaces it, then draws another marble from the bag, which of the following represents expressions represents the probability that the first marble will be blue and the second marble will be red?

• $\frac{3}{14}\times\frac{5}{14}$

• $\frac{1}{3}\times\frac{1}{5}$

• $\frac{3}{8}\times\frac{5}{8}$

• $\frac{3}{14}\times\frac{6}{14}$

Fill in the Blank

Brianna has a bag of marbles shown below. She randomly chooses two marbles, one at a time.

3. What is the probability of Brianna randomly choosing a striped marble on the first pick, replacing it, and then randomly choosing a black marble on the second pick?

Fill in the Blank

Brianna has a bag of marbles shown below. She randomly chooses two marbles, one at a time.

4. What is the probability of Brianna randomly choosing a striped marble on the first pick, not replacing it, and then randomly choosing a black marble on the second pick?

Fill in the Blank

A simulation was created and the results are presented in the bar graph below.

What is the probability that the next roll will

result in a number greater than 4?

HINT: Count the number times a number greater than 4 was rolled. That number is your numerator. Add how many times each number was rolled, and that number is the denominator.

Fill in the Blank

A simulation was created and the results are presented in the bar graph below.

What is the theoretical probability that the next

roll will be a number greater than 4?

HINT: THEORETICAL probability relates to the theory of what could happen. On a number cube, there are 2 numbers greater than 4 out of 6 numbers. Theoretical probability does not relate to how many times the experiment has occurred.

Fill in the Blank

The tables below show how many packages of four flavors of chips are in two different boxes.

If one package is selected at random from each box, what is the probability that both packages will be Cheetos?

HINT: Find the probability of choosing cheetos from the first box, and then multiply that by the probability of choosing cheetos from the second box.

Multiple Choice

If a fair coin is tossed 3 times, the possible outcomes are shown in the diagram.

How many possible outcomes involve 2 tails and 1 head?

• 12

• 7

• 2

• 3

Multiple Choice

A 3-colored spinner is spun, followed by a penny, and then a quarter. How many outcomes are possible for the spinner and two coins?

• 12

• 7

• 3

• 6

Multiple Choice

Which of the following sets of events are considered independent events?

• Cooper picks a card at random. Without putting the first card back, he picks a second card at random.

• A third grade teacher is assigning parts for the class play. Kirk's role will be selected first, and Vivian will be assigned a role next.

• Steven picks a marble at random. Without putting the first marble back, he picks a second marble at random.

• A student in Newberg is picking out a song to download. At the same time, a teacher in Greenwood also happens to be deciding on a song to download.

Multiple Choice

Which of the following sets of events are considered dependent events?

• Jenna chooses a colored marble from a mixed bag and writes down the color. Jenna leaves it out and then draws another.

• A customer selects a brand of orange juice to buy for her family at the supermarket. In a different city, another customer also happens to pick a brand of juice to buy.

• A street magician asks a volunteer to pick a card, which is put back into the deck at the end of the trick. A few minutes later, the magician shuffles the deck and asks a different person to choose a card.

• Linda spins a spinner. At the same time, Sandra rolls a 20-sided die.

Fill in the Blank

Mrs. Hamilton wants to find the experimental probability of choosing a specific type of movie from 5 options. She designed a simulation with 20 trials and used the data from the simulation to create a graph. The graph shown below displays the number of times each type of movie was chosen.

Use the graph to determine what is the probability that Mrs. Hamilton will choose a romance movie.

Multiple Choice

Mrs. Hamilton wants to find the experimental probability of choosing a specific type of movie from 5 options. She designed a simulation with 20 trials and used the data from the simulation to create a graph. The graph shown below displays the number of times each type of movie was chosen.

Is the theoretical probability that a student will choose a romance movie greater, less than or equal to the experimental probability in part A?

REMEMBER THAT THEORETICAL PROBABILITY HAS NOTHING TO DO WITH HOW MANY TIMES SOMETHING WAS CHOSEN.

Think about how many romantic movies there are out of the total amount.

• Greater than

• Less than

• Equal to

Multiple Choice

Ryder can choose between thin crust or hand-tossed crust, and 6 different toppings. How many different outcomes are in the sample space?

• 8

• 12

• 2

• 6

Fill in the Blank

Rylee has a box of airheads. 16 are green apple, 20 are cherry, 18 are blue raspberry, and 10 are mystery flavored. What is the probability that she will pick a cherry airhead, eat it, and then pick another cherry airhead?

Multiple Choice

Anna Mae is trying to decide what she wants from Sonic. The three choices for entree are a hamburger, cheeseburger, and chicken tenders. The entree can come with either french fries or tator tots. Dr. Pepper and Coke are available for the drink choices.

Which of the following list is correct?

Fill in the Blank

Darryl and Donny buy a box of a dozen donuts. Seven of the donuts are plain-glazed, 3 of the donuts are chocolate-covered and 2 of the donuts are vanilla-glazed. Without looking, what is the probability of Darryl choosing a plain-glazed donut, eating it, and then Donny choosing another plain-glazed donut?

Multiple Select

Three events are listed below. Circle the event(s) that are dependent.

• Julia draws a card from a deck of cards, replaces it, then draws another card.

• James draws a card from a deck of cards. His friend then draws another card from the same deck.

• Leticia pulls one marble from the bag, sets it aside, then draws another marble from the bag.

• Yesenia spins a spinner. Then she rolls a number cube.

Fill in the Blank

Diane had 4 cans of green beans, 3 cans of corn, 6 cans of green peas, 3 cans of carrots and 4 cans of baked beans in her pantry. When her granddaughter came to visit, she tore the labels off every can in the pantry! Diane chose one can at random from the unlabeled cans for each night’s meal the next week.

What is the probability of Diane choosing a can of corn on Monday, serving it, and then choosing a can of baked beans on Tuesday?

Fill in the Blank

Fiona has a bag of marbles that are all the same size and shape. The bag contains 3 red marbles, 4 blue marbles, 3 green marbles, 4 yellow marbles, and 1 white marble.

What is the probability of randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?

Fill in the Blank

Abigail has a box that contains cards of the same size and shape. There are 6 yellow cards, 3 red cards and 2 green cards.

She draws a card at random, replaces it, and draws a second card.

What is the probability that both cards will be yellow?

Fill in the Blank

Two spinners are shown below. If both spinners are spun at the same time, what is the probability of spinning a B on both spinners?

Fill in the Blank

A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 4 colors: red, purple, blue, or green. The faces of the cube are labeled 1 through 6.

What is the probability of a player spinning the color red and then rolling a 5 or 6?

Multiple Choice

Marci has a blue purse, a red purse, and a white purse. Marci also has a pair of brown shoes, black shoes, and blue shoes. Make a list of all the possible combinations of her purses and shoes. How many possible combinations (outcomes) are there?

7.5 LESSON

Probability of Compound Events

Probability of Compound Event

Video Presentation

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