  Mary Pyo

Probability of an Event Not Occurring

Slide Duration:

Section 1: Algebra and Decimals
Expressions and Variables

5m 57s

Intro
0:00
Vocabulary
0:06
Variable
0:09
Expression
0:48
Numerical Expression
1:08
Algebraic Expression
1:35
Word Expression
2:04
Extra Example 1: Evaluate the Expression
2:27
Extra Example 2: Evaluate the Expression
3:16
Extra Example 3: Evaluate the Expression
4:04
Extra Example 4: Evaluate the Expression
4:59
Exponents

5m 34s

Intro
0:00
What Exponents Mean
0:07
Example: Ten Squared
0:08
Extra Example 1: Exponents
0:50
Extra Example 2: Write in Exponent Form
1:58
Extra Example 3: Using Exponent and Base
2:37
Extra Example 4: Write the Equal Factors
4:26
Order of Operations

8m 40s

Intro
0:00
Please Excuse My Dear Aunt Sally
0:07
Step 1: Parenthesis
1:16
Step 2: Exponent
1:25
Step 3: Multiply and Divide
1:30
2:00
Example: Please Excuse My Dear Aunt Sally
2:26
Extra Example 1: Evaluating Expression
3:37
Extra Example 2: Evaluating Expression
4:59
Extra Example 3: Evaluating Expression
5:34
Extra Example 4: Evaluating Expression
6:25
Comparing and Ordering Decimals

13m 37s

Intro
0:00
Place Value
0:13
Examples: 1,234,567.89
0:19
Which is the Larger Value?
1:33
Which is Larger: 10.5 or 100.5
1:46
Which is Larger: 1.01 or 1.10
2:24
Which is Larger: 44.40 or 44.4
4:20
Which is Larger: 18.6 or 16.8
5:18
Extra Example 1: Order from Least to Greatest
5:55
Extra Example 2: Order from Least to Greatest
7:56
Extra Example 3: Order from Least to Greatest
9:16
Extra Example 4: Order from Least to Greatest
10:42
Rounding Decimals

12m 31s

Intro
0:00
Decimal Place Value
0:06
Example: 12,3454.6789
0:07
How to Round Decimals
1:17
Example: Rounding 1,234.567
1:18
Extra Example 1: Rounding Decimals
3:47
Extra Example 2: Rounding Decimals
6:10
Extra Example 3: Rounding Decimals
7:45
Extra Example 4: Rounding Decimals
9:56

11m 30s

Intro
0:00
0:06
Align the Decimal Point First
0:12
0:47
Place the Decimal Point in the Same Place
0:55
Check by Estimating
1:09
Examples
1:28
Add: 3.45 + 7 + 0.835
1:30
Find the Difference: 351.4 - 65.25
3:34
5:32
Extra Example 2: How Much Money?
6:09
Extra Example 3: Subtracting Decimals
7:20
9:32
Multiplying Decimals

10m 30s

Intro
0:00
Multiply the Decimals
0:05
Methods for Multiplying Decimals
0:06
Example: 1.1 x 6
0:38
Extra Example 1: Multiplying Decimals
1:51
Extra Example 2: Work Money
2:49
Extra Example 3: Multiplying Decimals
5:45
Extra Example 4: Multiplying Decimals
7:46
Dividing Decimals

17m 49s

Intro
0:00
When Dividing Decimals
0:06
Methods for Dividing Decimals
0:07
Divisor and Dividend
0:37
Example: 0.2 Divided by 10
1:35
Extra Example 1 : Dividing Decimals
5:24
Extra Example 2: How Much Does Each CD Cost?
8:22
Extra Example 3: Dividing Decimals
10:59
Extra Example 4: Dividing Decimals
12:08
Section 2: Number Relationships and Fractions
Prime Factorization

7m

Intro
0:00
Terms to Review
0:07
Prime vs. Composite
0:12
Factor
0:54
Product
1:15
Factor Tree
1:39
Example: Prime Factorization
2:01
Example: Prime Factorization
2:43
Extra Example 1: Prime Factorization
4:08
Extra Example 2: Prime Factorization
5:05
Extra Example 3: Prime Factorization
5:33
Extra Example 4: Prime Factorization
6:13
Greatest Common Factor

12m 47s

Intro
0:00
Terms to Review
0:05
Factor
0:07
Example: Factor of 20
0:18
Two Methods
0:59
Greatest Common Factor
1:00
Method 1: GCF of 15 and 30
1:37
Method 2: GCF of 15 and 30
2:58
Extra Example 1: Find the GCF of 6 and 18
5:16
Extra Example 2: Find the GCF of 36 and 27
7:43
Extra Example 3: Find the GCF of 6 and 18
9:18
Extra Example 4: Find the GCF of 54 and 36
10:30
Fraction Concepts and Simplest Form

10m 3s

Intro
0:00
Fraction Concept
0:10
Example: Birthday Cake
0:28
Example: Chocolate Bar
2:10
Simples Form
3:38
Example: Simplifying 4 out of 8
3:46
Extra Example 1: Graphically Show 4 out of 10
4:41
Extra Example 2: Finding Fraction Shown by Illustration
5:10
Extra Example 3: Simplest Form of 5 over 25
7:02
Extra Example 4: Simplest Form of 14 over 49
8:30
Least Common Multiple

14m 16s

Intro
0:00
Term to Review
0:06
Multiple
0:07
Example: Multiples of 4
0:15
Two Methods
0:41
Least Common Multiples
0:44
Method 1: LCM of 6 and 10
1:09
Method 2: LCM of 6 and 10
2:56
Extra Example 1: LCM of 12 and 15
5:09
Extra Example 2: LCM of 16 and 20
7:36
Extra Example 3 : LCM of 15 and 25
10:00
Extra Example 4 : LCM of 12 and 18
11:27
Comparing and Ordering Fractions

13m 10s

Intro
0:00
Terms Review
0:14
Greater Than
0:16
Less Than
0:40
Compare the Fractions
1:00
Example: Comparing 2/4 and 3/4
1:08
Example: Comparing 5/8 and 2/5
2:04
Extra Example 1: Compare the Fractions
3:28
Extra Example 2: Compare the Fractions
6:06
Extra Example 3: Compare the Fractions
8:01
Extra Example 4: Least to Greatest
9:37
Mixed Numbers and Improper Fractions

12m 49s

Intro
0:00
Fractions
0:10
Mixed Number
0:21
Proper Fraction
0:47
Improper Fraction
1:30
Switching Between
2:47
Mixed Number to Improper Fraction
2:53
Improper Fraction to Mixed Number
4:41
Examples: Switching Fractions
6:37
Extra Example 1: Mixed Number to Improper Fraction
8:57
Extra Example 2: Improper Fraction to Mixed Number
9:37
Extra Example 3: Improper Fraction to Mixed Number
10:21
Extra Example 4: Mixed Number to Improper Fraction
11:31
Connecting Decimals and Fractions

15m 1s

Intro
0:00
Examples: Decimals and Fractions
0:06
More Examples: Decimals and Fractions
2:48
Extra Example 1: Converting Decimal to Fraction
6:55
Extra Example 2: Converting Fraction to Decimal
8:45
Extra Example 3: Converting Decimal to Fraction
10:28
Extra Example 4: Converting Fraction to Decimal
11:42
Section 3: Fractions and Their Operations
Adding and Subtracting Fractions with Same Denominators

5m 17s

Intro
0:00
Same Denominator
0:11
Numerator and Denominator
0:18
Example: 2/6 + 5/6
0:41
Extra Example 1: Add or Subtract the Fractions
2:02
Extra Example 2: Add or Subtract the Fractions
2:45
Extra Example 3: Add or Subtract the Fractions
3:17
Extra Example 4: Add or Subtract the Fractions
4:05
Adding and Subtracting Fractions with Different Denominators

23m 8s

Intro
0:00
Least Common Multiple
0:12
LCM of 6 and 4
0:31
From LCM to LCD
2:25
3:12
Extra Example 1: Add or Subtract
6:23
Extra Example 2: Add or Subtract
9:49
Extra Example 3: Add or Subtract
14:54
Extra Example 4: Add or Subtract
18:14

19m 44s

Intro
0:00
Example
0:05
0:17
Extra Example 1: Adding Mixed Numbers
1:57
Extra Example 2: Subtracting Mixed Numbers
8:13
Extra Example 3: Adding Mixed Numbers
12:01
Extra Example 4: Subtracting Mixed Numbers
14:54
Multiplying Fractions and Mixed Numbers

21m 32s

Intro
0:00
Multiplying Fractions
0:07
Step 1: Change Mixed Numbers to Improper Fractions
0:08
Step2: Multiply the Numerators Together
0:56
Step3: Multiply the Denominators Together
1:03
Extra Example 1: Multiplying Fractions
1:37
Extra Example 2: Multiplying Fractions
6:39
Extra Example 3: Multiplying Fractions
10:20
Extra Example 4: Multiplying Fractions
13:47
Dividing Fractions and Mixed Numbers

18m

Intro
0:00
Dividing Fractions
0:09
Step 1: Change Mixed Numbers to Improper Fractions
0:15
Step 2: Flip the Second Fraction
0:27
Step 3: Multiply the Fractions
0:52
Extra Example 1: Dividing Fractions
1:23
Extra Example 2: Dividing Fractions
5:06
Extra Example 3: Dividing Fractions
9:34
Extra Example 4: Dividing Fractions
12:06
Distributive Property

11m 5s

Intro
0:00
Distributive Property
0:06
Methods of Distributive Property
0:07
Example: a(b)
0:35
Example: a(b+c)
0:49
Example: a(b+c+d)
1:22
Extra Example 1: Using Distributive Property
1:56
Extra Example 2: Using Distributive Property
4:36
Extra Example 3: Using Distributive Property
6:39
Extra Example 4: Using Distributive Property
8:19
Units of Measure

16m 36s

Intro
0:00
Length
0:05
Feet, Inches, Yard, and Mile
0:20
Millimeters, Centimeters, and Meters
0:43
Mass
2:57
Pounds, Ounces, and Tons
3:03
Grams and Kilograms
3:38
Liquid
4:11
Gallons, Quarts, Pints, and Cups
4:14
Extra Example 1: Converting Units
7:02
Extra Example 2: Converting Units
9:31
Extra Example 3: Converting Units
12:21
Extra Example 4: Converting Units
14:05
Section 4: Positive and Negative Numbers
Integers and the Number Line

13m 24s

Intro
0:00
What are Integers
0:06
Integers are all Whole Numbers and Their Opposites
0:09
Absolute Value
2:35
Extra Example 1: Compare the Integers
4:36
Extra Example 2: Writing Integers
9:24
Extra Example 3: Opposite Integer
10:38
Extra Example 4: Absolute Value
11:27

16m 5s

Intro
0:00
Using a Number Line
0:04
Example: 4 + (-2)
0:14
Example: 5 + (-8)
1:50
3:00
3:10
3:37
4:44
Extra Example 1: Add the Integers
8:21
Extra Example 2: Find the Sum
10:33
Extra Example 3: Find the Value
11:37
Extra Example 4: Add the Integers
13:10
Subtracting Integers

15m 25s

Intro
0:00
How to Subtract Integers
0:06
Two-dash Rule
0:16
Example: 3 - 5
0:44
Example: 3 - (-5)
1:12
Example: -3 - 5
1:39
Extra Example 1: Rewrite Subtraction to Addition
4:43
Extra Example 2: Find the Difference
7:59
Extra Example 3: Find the Difference
9:08
Extra Example 4: Evaluate
10:38
Multiplying Integers

7m 33s

Intro
0:00
When Multiplying Integers
0:05
If One Number is Negative
0:06
If Both Numbers are Negative
0:18
Examples: Multiplying Integers
0:53
Extra Example 1: Multiplying Integers
1:27
Extra Example 2: Multiplying Integers
2:43
Extra Example 3: Multiplying Integers
3:13
Extra Example 4: Multiplying Integers
3:51
Dividing Integers

6m 42s

Intro
0:00
When Dividing Integers
0:05
Rules for Dividing Integers
0:41
Extra Example 1: Dividing Integers
1:01
Extra Example 2: Dividing Integers
1:51
Extra Example 3: Dividing Integers
2:21
Extra Example 4: Dividing Integers
3:18
Integers and Order of Operations

11m 9s

Intro
0:00
Combining Operations
0:21
Solve Using the Order of Operations
0:22
Extra Example 1: Evaluate
1:18
Extra Example 2: Evaluate
4:20
Extra Example 3: Evaluate
6:33
Extra Example 4: Evaluate
8:13
Section 5: Solving Equations
Writing Expressions

9m 15s

Intro
0:00
Operation as Words
0:05
Operation as Words
0:06
Extra Example 1: Write Each as an Expression
2:09
Extra Example 2: Write Each as an Expression
4:27
Extra Example 3: Write Each Expression Using Words
6:45
Writing Equations

18m 3s

Intro
0:00
Equation
0:05
Definition of Equation
0:06
Examples of Equation
0:58
Operations as Words
1:39
Operations as Words
1:40
Extra Example 1: Write Each as an Equation
3:07
Extra Example 2: Write Each as an Equation
6:19
Extra Example 3: Write Each as an Equation
10:08
Extra Example 4: Determine if the Equation is True or False
13:38

24m 53s

Intro
0:00
Solving Equations
0:08
inverse Operation of Addition and Subtraction
0:09
Extra Example 1: Solve Each Equation Using Mental Math
4:15
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:44
Extra Example 3: Solve Each Equation
14:51
Extra Example 4: Translate Each to an Equation and Solve
19:57
Solving Multiplication Equation

19m 46s

Intro
0:00
Multiplication Equations
0:08
Inverse Operation of Multiplication
0:09
Extra Example 1: Use Mental Math to Solve Each Equation
3:54
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:55
Extra Example 3: Is -2 a Solution of Each Equation?
12:48
Extra Example 4: Solve Each Equation
15:42
Solving Division Equation

17m 58s

Intro
0:00
Division Equations
0:05
Inverse Operation of Division
0:06
Extra Example 1: Use Mental Math to Solve Each Equation
0:39
Extra Example 2: Use Inverse Operations to Solve Each Equation
2:14
Extra Example 3: Is -6 a Solution of Each Equation?
9:53
Extra Example 4: Solve Each Equation
11:50
Section 6: Ratios and Proportions
Ratio

40m 21s

Intro
0:00
Ratio
0:05
Definition of Ratio
0:06
Examples of Ratio
0:18
Rate
2:19
Definition of Rate
2:20
Unit Rate
3:38
Example: \$10 / 20 pieces
5:05
Converting Rates
6:46
Example: Converting Rates
6:47
Extra Example 1: Write in Simplest Form
16:22
Extra Example 2: Find the Ratio
20:53
Extra Example 3: Find the Unit Rate
22:56
Extra Example 4: Convert the Unit
26:34
Solving Proportions

17m 22s

Intro
0:00
Proportions
0:05
An Equality of Two Ratios
0:06
Cross Products
1:00
Extra Example 1: Find Two Equivalent Ratios for Each
3:21
Extra Example 2: Use Mental Math to Solve the Proportion
5:52
Extra Example 3: Tell Whether the Two Ratios Form a Proportion
8:21
Extra Example 4: Solve the Proportion
13:26
Writing Proportions

22m 1s

Intro
0:00
Writing Proportions
0:08
Introduction to Writing Proportions and Example
0:10
Extra Example 1: Write a Proportion and Solve
5:54
Extra Example 2: Write a Proportion and Solve
11:19
Extra Example 3: Write a Proportion for Word Problem
17:29
Similar Polygons

16m 31s

Intro
0:00
Similar Polygons
0:05
Definition of Similar Polygons
0:06
Corresponding Sides are Proportional
2:14
Extra Example 1: Write a Proportion and Find the Value of Similar Triangles
4:26
Extra Example 2: Write a Proportional to Find the Value of x
7:04
Extra Example 3: Write a Proportion for the Similar Polygons and Solve
9:04
Extra Example 4: Word Problem and Similar Polygons
11:03
Scale Drawings

13m 43s

Intro
0:00
Scale Drawing
0:05
Definition of a Scale Drawing
0:06
Example: Scale Drawings
1:00
Extra Example 1: Scale Drawing
4:50
Extra Example 2: Scale Drawing
7:02
Extra Example 3: Scale Drawing
9:34
Probability

11m 51s

Intro
0:00
Probability
0:05
Introduction to Probability
0:06
Example: Probability
1:22
Extra Example 1: What is the Probability of Landing on Orange?
3:26
Extra Example 2: What is the Probability of Rolling a 5?
5:02
Extra Example 3: What is the Probability that the Marble will be Red?
7:40
Extra Example 4: What is the Probability that the Student will be a Girl?
9:43
Section 7: Percents
Percents, Fractions, and Decimals

35m 5s

Intro
0:00
Percents
0:06
Changing Percent to a Fraction
0:07
Changing Percent to a Decimal
1:54
Fractions
4:17
Changing Fraction to Decimal
4:18
Changing Fraction to Percent
7:50
Decimals
10:10
Changing Decimal to Fraction
10:11
Changing Decimal to Percent
12:07
Extra Example 1: Write Each Percent as a Fraction in Simplest Form
13:29
Extra Example 2: Write Each as a Decimal
17:09
Extra Example 3: Write Each Fraction as a Percent
22:45
Extra Example 4: Complete the Table
29:17
Finding a Percent of a Number

28m 18s

Intro
0:00
Percent of a Number
0:06
Translate Sentence into an Equation
0:07
Example: 30% of 100 is What Number?
1:05
Extra Example 1: Finding a Percent of a Number
7:12
Extra Example 2: Finding a Percent of a Number
15:56
Extra Example 3: Finding a Percent of a Number
19:14
Extra Example 4: Finding a Percent of a Number
24:26
Solving Percent Problems

32m 31s

Intro
0:00
Solving Percent Problems
0:06
Translate the Sentence into an Equation
0:07
Extra Example 1: Solving Percent Problems
0:56
Extra Example 2: Solving Percent Problems
14:49
Extra Example 3: Solving Percent Problems
23:44
Simple Interest

27m 9s

Intro
0:00
Simple Interest
0:05
Principal
0:06
Interest & Interest Rate
0:41
Simple Interest
1:43
Simple Interest Formula
2:23
Simple Interest Formula: I = prt
2:24
Extra Example 1: Finding Simple Interest
3:53
Extra Example 2: Finding Simple Interest
8:08
Extra Example 3: Finding Simple Interest
12:02
Extra Example 4: Finding Simple Interest
17:46
Discount and Sales Tax

17m 15s

Intro
0:00
Discount
0:19
Discount
0:20
Sale Price
1:22
Sales Tax
2:24
Sales Tax
2:25
Total Due
2:59
Extra Example 1: Finding the Discount
3:43
Extra Example 2: Finding the Sale Price
6:28
Extra Example 3: Finding the Sale Tax
11:14
Extra Example 4: Finding the Total Due
14:08
Section 8: Geometry in a Plane
Intersecting Lines and Angle Measures

24m 17s

Intro
0:00
Intersecting Lines
0:07
Properties of Lines
0:08
When Two Lines Cross Each Other
1:55
Angles
2:56
Properties of Angles: Sides, Vertex, and Measure
2:57
Classifying Angles
7:18
Acute Angle
7:19
Right Angle
7:54
Obtuse Angle
8:03
Angle Relationships
8:56
Vertical Angles
8:57
10:38
Complementary Angles
11:52
Supplementary Angles
12:54
Extra Example 1: Lines
16:00
Extra Example 2: Angles
18:22
Extra Example 3: Angle Relationships
20:05
Extra Example 4: Name the Measure of Angles
21:11
Angles of a Triangle

13m 35s

Intro
0:00
Angles of a Triangle
0:05
All Triangles Have Three Angles
0:06
Measure of Angles
2:16
Extra Example 1: Find the Missing Angle Measure
5:39
Extra Example 2: Angles of a Triangle
7:18
Extra Example 3: Angles of a Triangle
9:24
Classifying Triangles

15m 10s

Intro
0:00
Types of Triangles by Angles
0:05
Acute Triangle
0:06
Right Triangle
1:14
Obtuse Triangle
2:22
Classifying Triangles by Sides
4:18
Equilateral Triangle
4:20
Isosceles Triangle
5:21
Scalene Triangle
5:53
Extra Example 1: Classify the Triangle by Its Angles and Sides
6:34
Extra Example 2: Sketch the Figures
8:10
Extra Example 3: Classify the Triangle by Its Angles and Sides
9:55
Extra Example 4: Classify the Triangle by Its Angles and Sides
11:35

17m 41s

Intro
0:00
0:05
0:06
Parallelogram
0:45
Rectangle
2:28
Rhombus
3:13
Square
3:53
Trapezoid
4:38
Parallelograms
5:33
Parallelogram, Rectangle, Rhombus, Trapezoid, and Square
5:35
Extra Example 1: Give the Most Exact Name for the Figure
11:37
Extra Example 2: Fill in the Blanks
13:31
Extra Example 3: Complete Each Statement with Always, Sometimes, or Never
14:37
Area of a Parallelogram

12m 44s

Intro
0:00
Area
0:06
Definition of Area
0:07
Area of a Parallelogram
2:00
Area of a Parallelogram
2:01
Extra Example 1: Find the Area of the Rectangle
4:30
Extra Example 2: Find the Area of the Parallelogram
5:29
Extra Example 3: Find the Area of the Parallelogram
7:22
Extra Example 4: Find the Area of the Shaded Region
8:55
Area of a Triangle

11m 29s

Intro
0:00
Area of a Triangle
0:05
Area of a Triangle: Equation and Example
0:06
Extra Example 1: Find the Area of the Triangles
1:31
Extra Example 2: Find the Area of the Figure
4:09
Extra Example 3: Find the Area of the Shaded Region
7:45
Circumference of a Circle

15m 4s

Intro
0:00
Segments in Circles
0:05
0:06
Diameter
1:08
Chord
1:49
Circumference
2:53
Circumference of a Circle
2:54
Extra Example 1: Name the Given Parts of the Circle
6:26
Extra Example 2: Find the Circumference of the Circle
7:54
Extra Example 3: Find the Circumference of Each Circle with the Given Measure
11:04
Area of a Circle

14m 43s

Intro
0:00
Area of a Circle
0:05
Area of a Circle: Equation and Example
0:06
Extra Example 1: Find the Area of the Circle
2:17
Extra Example 2: Find the Area of the Circle
5:47
Extra Example 3: Find the Area of the Shaded Region
9:24
Section 11: Geometry in Space
Prisms and Cylinders

21m 49s

Intro
0:00
Prisms
0:06
Polyhedron
0:07
Regular Prism, Bases, and Lateral Faces
1:44
Cylinders
9:37
Bases and Altitude
9:38
Extra Example 1: Classify Each Prism by the Shape of Its Bases
11:16
Extra Example 2: Name Two Different Edges, Faces, and Vertices of the Prism
15:44
Extra Example 3: Name the Solid of Each Object
17:58
Extra Example 4: Write True or False for Each Statement
19:47
Volume of a Rectangular Prism

8m 59s

Intro
0:00
Volume of a Rectangular Prism
0:06
Volume of a Rectangular Prism: Formula
0:07
Volume of a Rectangular Prism: Example
1:46
Extra Example 1: Find the Volume of the Rectangular Prism
3:39
Extra Example 2: Find the Volume of the Cube
5:00
Extra Example 3: Find the Volume of the Solid
5:56
Volume of a Triangular Prism

16m 15s

Intro
0:00
Volume of a Triangular Prism
0:06
Volume of a Triangular Prism: Formula
0:07
Extra Example 1: Find the Volume of the Triangular Prism
2:42
Extra Example 2: Find the Volume of the Triangular Prism
7:21
Extra Example 3: Find the Volume of the Solid
10:38
Volume of a Cylinder

15m 55s

Intro
0:00
Volume of a Cylinder
0:05
Volume of a Cylinder: Formula
0:06
Extra Example 1: Find the Volume of the Cylinder
1:52
Extra Example 2: Find the Volume of the Cylinder
7:38
Extra Example 3: Find the Volume of the Cylinder
11:25
Surface Area of a Prism

23m 28s

Intro
0:00
Surface Area of a Prism
0:06
Surface Area of a Prism
0:07
Lateral Area of a Prism
2:12
Lateral Area of a Prism
2:13
Extra Example 1: Find the Surface Area of the Rectangular Prism
7:08
Extra Example 2: Find the Lateral Area and the Surface Area of the Cube
12:05
Extra Example 3: Find the Surface Area of the Triangular Prism
17:13
Surface Area of a Cylinder

27m 41s

Intro
0:00
Surface Area of a Cylinder
0:06
Introduction to Surface Area of a Cylinder
0:07
Surface Area of a Cylinder
1:33
Formula
1:34
Extra Example 1: Find the Surface Area of the Cylinder
5:51
Extra Example 2: Find the Surface Area of the Cylinder
13:51
Extra Example 3: Find the Surface Area of the Cylinder
20:57
Section 10: Data Analysis and Statistics
Measures of Central Tendency

24m 32s

Intro
0:00
Measures of Central Tendency
0:06
Mean
1:17
Median
2:42
Mode
5:41
Extra Example 1: Find the Mean, Median, and Mode for the Following Set of Data
6:24
Extra Example 2: Find the Mean, Median, and Mode for the Following Set of Data
11:14
Extra Example 3: Find the Mean, Median, and Mode for the Following Set of Data
15:13
Extra Example 4: Find the Three Measures of the Central Tendency
19:12
Histograms

19m 43s

Intro
0:00
Histograms
0:05
Definition and Example
0:06
Extra Example 1: Draw a Histogram for the Frequency Table
6:14
Extra Example 2: Create a Histogram of the Data
8:48
Extra Example 3: Create a Histogram of the Following Test Scores
14:17
Box-and-Whisker Plot

17m 54s

Intro
0:00
Box-and-Whisker Plot
0:05
Median, Lower & Upper Quartile, Lower & Upper Extreme
0:06
Extra Example 1: Name the Median, Lower & Upper Quartile, Lower & Upper Extreme
6:04
Extra Example 2: Draw a Box-and-Whisker Plot Given the Information
7:35
Extra Example 3: Find the Median, Lower & Upper Quartile, Lower & Upper Extreme
9:31
Extra Example 4: Draw a Box-and-Whiskers Plots for the Set of Data
12:50
Stem-and-Leaf Plots

17m 42s

Intro
0:00
Stem-and-Leaf Plots
0:05
Stem-and-Leaf Plots
0:06
Extra Example 1: Use the Data to Create a Stem-and-Leaf Plot
2:28
Extra Example 2: List All the Numbers in the Stem-and-Leaf Plot in Order From Least to Greatest
7:02
Extra Example 3: Create a Stem-and-Leaf Plot of the Data & Find the Median and the Mode.
8:59
The Coordinate Plane

19m 59s

Intro
0:00
The Coordinate System
0:05
The Coordinate Plane
0:06
0:50
The Coordinate Plane
7:02
Write the Coordinates for Points A, B, and C
7:03
Extra Example 1: Graph Each Point on the Coordinate Plane
9:03
Extra Example 2: Write the Coordinate and Quadrant for Each Point
11:05
Extra Example 3: Name Two Points From Each of the Four Quadrants
13:13
Extra Example 4: Graph Each Point on the Same Coordinate Plane
17:47
Section 11: Probability and Discrete Mathematics
Organizing Possible Outcomes

15m 35s

Intro
0:00
Compound Events
0:08
Compound Events
0:09
Fundamental Counting Principle
3:35
Extra Example 1: Create a List of All the Possible Outcomes
4:47
Extra Example 2: Create a Tree Diagram For All the Possible Outcomes
6:34
Extra Example 3: Create a Tree Diagram For All the Possible Outcomes
10:00
Extra Example 4: Fundamental Counting Principle
12:41
Independent and Dependent Events

35m 19s

Intro
0:00
Independent Events
0:11
Definition
0:12
Example 1: Independent Event
1:45
Example 2: Two Independent Events
4:48
Dependent Events
9:09
Definition
9:10
Example: Dependent Events
10:10
Extra Example 1: Determine If the Two Events are Independent or Dependent Events
13:38
Extra Example 2: Find the Probability of Each Pair of Events
18:11
Extra Example 3: Use the Spinner to Find Each Probability
21:42
Extra Example 4: Find the Probability of Each Pair of Events
25:49
Disjoint Events

12m 13s

Intro
0:00
Disjoint Events
0:06
Definition and Example
0:07
Extra Example 1: Disjoint & Not Disjoint Events
3:08
Extra Example 2: Disjoint & Not Disjoint Events
4:23
Extra Example 3: Independent, Dependent, and Disjoint Events
6:30
Probability of an Event Not Occurring

20m 5s

Intro
0:00
Event Not Occurring
0:07
Formula and Example
0:08
Extra Example 1: Use the Spinner to Find Each Probability
7:24
Extra Example 2: Probability of Event Not Occurring
11:21
Extra Example 3: Probability of Event Not Occurring
15:51
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• ## Related Books 0 answersPost by Jinli Zhang on November 20, 2020I really like this whole basic math  session and I really learned a lot from this and thank you 0 answersPost by Kenneth Geller on September 23, 2018In the last slide, first question, would the probability of failing the test be the same if the failing grade was 84.5 or below? 0 answersPost by Beatriz Zmuda on September 30, 2014Thanks 2 answersLast reply by: Ruby ZhangWed Jun 14, 2017 10:48 PMPost by GLENN MENSAH on May 12, 2014i also dont get extra example 3 1 answerLast reply by: Firebird wangWed Oct 12, 2016 10:49 PMPost by Jaish Mishra on May 12, 2013I don't really get extra example 3

### Probability of an Event Not Occurring

• P(event) = (desired outcome)/(total possible outcomes)
• P(event not occurring) = 1 – P(event)

### Probability of an Event Not Occurring

Given the probability of an event occurring, find the probability that the event will not occur.
P(B) = [1/5]
• 1 - P(B) =
• 1 − [1/5] =
• [5/5] − [1/5] =
[4/5]
Given the probability of an event occurring, find the probability that the event will not occur.
P(C) = .25
• 1 - P(C) =
• 1 - .25 =
.75
Given the probability of an event occurring, find the probability that the event will not occur.
P(G) = .47
• 1 - P(G) =
• 1 - .47 =
.53
Given the probability of an event occurring, find the probability that the event will not occur.
P(A) = 67%
• 1 - P(A) =
• 100 - 67 =
33%
Given the probability of an event occurring, find the probability that the event will not occur.
P(B) = 6.5%
• 1 - P(B) =
• 100 - 6.5 =
93.5%
The probability of Suzie passing the math test is 95%. Find the probability of her failing the test.
• 100% - 95%
5%
The probability of John passing the math test is 55%. Find the probability of him failing the test.
• 100% - 55%
45%
The probability of Jenny passing the math test is 82.5%. Find the probability of her failing the test.
• 100% - 82.5%
17.5%
The probability of Sam not picking the correct color marble from a bag is [6/11]. Find the probability of him picking the correct marble.
• P(not correct marble) = [6/11]
• P(correct marble) = 1 - P(not correct marble)
• P(correct marble) = 1 - [6/11]
• P(correct marble) = [11/11] − [6/11]
P(correct marble) = [5/11]
The probability of Sam not picking the correct color marble from a bag is [4/13]. Find the probability of him picking the correct marble.
• P(not correct marble) = [4/13]
• P(correct marble) = 1 - P(not correct marble)
• P(correct marble) = 1 - [4/13]
• P(correct marble) = [13/13] − [4/13]
P(correct marble) = [9/13]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Probability of an Event Not Occurring

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Event Not Occurring 0:07
• Formula and Example
• Extra Example 1: Use the Spinner to Find Each Probability 7:24
• Extra Example 2: Probability of Event Not Occurring 11:21
• Extra Example 3: Probability of Event Not Occurring 15:51

### Transcription: Probability of an Event Not Occurring

Welcome back to Educator.com.0000

For the next lesson, we are going to go over how to find probability of an event not occurring.0002

We have gone over how to find the probability of an event occurring.0009

That would be the desired outcome over the total possible outcomes; it is a ratio.0014

We are comparing what we are looking for, the desired outcome,0021

over how many total possible outcomes there are, what is the total number.0025

This ratio is in the form of a fraction, top number over bottom number.0032

Probability can also be in the form of a decimal and a percent.0038

If I have probability of an event occurring, let's say it is 1/4.0043

That is a probability.0050

I can change this into a decimal and into a percent.0051

Let's just review over that.0056

To change this fraction to a decimal, I am going to take the top number and divide it to the bottom number.0058

This top number is going to go inside; the 4 on the outside.0065

Here I am going to add a decimal point.0073

I can always add a decimal point at the end of a number.0075

I can add 0s as long as it is behind the decimal point and at the end of the number.0081

Bring this decimal point up; 4 does not go into 1.0088

I am going to use one 0 to make 10.0093

4 goes into 10 twice; that is going to give me 8.0096

I am going to subtract the 10 with the 8; I get 2.0102

I can add another 0; bring that 0 down.0107

4 goes into 20 five times; that is going to give you 20.0111

Subtract it; I get 0; 1/4 is the same as 0.25.0117

You can also think of it as 1 out of 4... let's say I have 4 quarters.0129

1 out of the 4 quarters gives me 25 cents.0134

To change this to a percent, I take the decimal point.0139

I always move it to the right two spaces.0145

Think of the decimal as being small and a percent as getting larger.0149

Percents are bigger than decimals.0154

We have to move it to the right to make the number bigger.0157

I am going to move it to the right two spaces.0159

The decimal point is now going to be behind the 5.0163

Add the percent sign; that is how you change it from decimal to percent.0168

Three ways we can write probability; that is the probability of an event occurring.0174

To find the probability of an event not occurring is actually going to be 1 minus that number.0185

1, why 1?--1 is actually the biggest number we can get for probability.0196

It is like seeing the whole thing.0201

Say I have a bag of marbles.0204

In this bag of marbles, I have let's say 4 red marbles.0209

If I want to find the probability of picking a red marble,0217

probability of my event will be... I am picking a red.0223

How many red marbles do I have?--I have 4.0229

My desired outcome is 4 out of... how many total marbles do I have?--4.0233

4/4 simplifies to get 1; 1 represents the whole thing; it represents all of it.0240

The probability of something happening is 1.0251

That means it is 100 percent chance that it is going to happen.0254

That is why when you look for the probability of an event not occurring,0262

it is as if you are going to take that 1, the whole thing, and you are going to find the leftovers.0269

Back to the bag of marbles, let's say I add 2 blues.0277

I want to find the probability of picking a red.0288

I still have 4 red out of... the total number of marbles changed.0297

I now have 6 marbles.0304

Here my probability is... I can simplify this; divide each of these by 2.0306

I get 2/3; that is the probability of the red.0313

I want to find the probability of it not being red, the event not occurring.0322

The probability of not red, I am going to take the whole thing which is 1.0329

Subtract it from the event occurring, 2/3; it is like finding the leftovers.0342

From the whole thing, if I take away this much0351

which is the actual probability of the event occurring,0353

then it is like I am finding what is left over.0357

Here in order to subtract this, I need to make this the same denominator with this.0362

I can turn 1 whole into, as long as my top number and bottom number are the same, it is still 1.0371

3/3 minus 2/3.0378

I made is 3/3 because I want this denominator to be 3,0381

the same, for me to be able to subtract these fractions.0385

This becomes 1/3.0388

Another way to explain this, the probability of picking a red is 2/3.0397

The probability of not picking a red is all the rest of it which is 1/3.0407

Together the probability, it is either red or not red.0414

It is either going to be red or it is not red.0418

It is one of those two.0421

This is the probability of picking a red.0424

This is the probability of picking one that is not red.0426

Together they make up the whole thing because it is going to be one or the other.0429

The whole thing is just 1; the probability of this not occurring is 1/3.0433

The first example, we are going to use a spinner.0446

We want to find the probability of spinning or landing on a color that is not green.0448

We can do this two ways.0459

When we have something like this spinner or maybe a bag of marbles, it is a little bit easier.0462

We can make all the colors that are not green our desired outcome.0469

I can look for all of the colors that are not green.0482

I have 1, 2, 3, 4; 4 that are not green.0487

My desired outcome again is not green.0492

There is 4 of them; over total of 5.0496

The probability of not green will be 4/5.0504

The way we did it before, previous slide, it is like0509

finding the probability of actually having green and subtracting that from 1.0513

We can find the probability of green, subtract it from 1.0524

We are still going to get the same answer.0529

Here probability of picking a green, that is 1 green out of 5.0531

This will be 1 minus 1/5.0538

I can change this whole number into 5/5 to make the denominators the same.0544

5/5 minus 1/5; 5 minus 1 is 4; over... keep the denominator the same.0549

I am going to get the same answer.0562

This is obviously the easier way to do it.0566

If you can do it this way, then that is fine.0569

But you still have to understand that 1 whole would be the whole thing.0571

There is 1, 2, 3, 4, 5 out of 5; that would be 1 whole.0578

To find the probability of something not occurring would be taking the whole thing0586

and subtracting it by the actual probability of the event occurring.0589

This next one here, the probability of not red or orange.0598

Again we can just make this all the colors that are not red or orange be the desired outcome.0604

How many are not red or orange?--here is red; here is orange.0610

How many are not either of these?--I have 3.0615

My desired outcome would be all the colors that are not red or orange.0620

That is going to be my top number; that is 3; over total of 5.0625

But again we still have to understand that I can find the probability0636

of the red or orange and then take the whole thing, subtract it.0642

How many are red or orange?--I have 1, 2; 2 out of 5.0656

1 minus 2/5; again change this to 5/5 minus 2/5.0662

That is going to give me 3/5.0671

Given the probability of an event occurring, find the probability that the event will not occur.0683

Here probability of event A occurring is 1/4.0694

The probability of the event not occurring is 1 minus this number.0702

It is going to be 1 minus 1/4.0713

Again change this whole number; it is 1.0720

Top number and the bottom number has to be the same because I want to change this to a fraction.0724

The denominator has to be a 4; it will be 4/4 minus 1/4.0730

Again I made it 4/4 because it has to stay a 1 and the denominator has to be the same.0737

This is 4 minus 1 is 3 over 4.0744

If the probability of an event occurring is 1/4, then the probability of the event not occurring is 3/4.0752

It is like if 1 is the whole thing... 1/4, let's talk money.0759

1/4, 1 quarter out of 4 quarters.0765

If you use 1 quarter, how many quarters do you have left?0769

The remaining of it is 3 quarters; you have 3 left.0775

1/4 left over is 3/4; the rest of it is 3/4.0780

That is the probability of it not occurring.0787

Here 0.67, again 1 minus the probability of B occurring would be 1 minus 0.67.0791

Again if this is a dollar minus 67 cents, what do you have left?0811

To subtract decimals, I am going to do 1.00.0818

I am just turning this 1 into 1.00 because when you subtract decimals, you have to line up the decimal point.0823

It is going to be 1.00.0833

Again I added 0s because it is at the end of a number behind the decimal point.0835

Minus 0.67; this 0, I am going to change to a 10.0841

I borrowed it from this; that became a 9; this becomes 0.0851

It is 10 minus 7 is 3; 9 minus 6 is 3; nothing there.0860

Bring down the decimal point.0867

The probability of this not occurring is 0.33.0870

For this one, the probability of event C happening is 42 percent.0878

The chance of this occurring is 42 percent.0883

What is the chance of it not occurring?0888

This is a little bit different because it is a percent.0891

The whole thing in a percent would be 100 percent.0897

If you have a percent, then you would have to do 100 percent minus the 42 percent.0901

Or you can think of it as still 1 minus probability of C occurring.0914

Then since it is a percent, now we can change it here.0920

100 percent, we are changing this 1 whole into a percent.0924

Again decimal point at the end; move it two spaces over.0929

That is 100 percent minus 42 percent; 100 minus 42 is 58 percent.0933

The third example here, the probability of Susie passing the math test is 85 percent.0953

Find the probability of her failing the test.0960

The probability of an event occurring, which is her passing the math test, is 85 percent.0968

We have to find the probability of her failing the test.0977

It is out of a possible 100 percent.0981

We know that from 100 percent, we have to subtract0985

the percent of the probability that she is going to pass the test0994

to see what the probability of her failing the test is going to be.1001

From here, this is 15 percent.1008

This and this together have to make up the 100 percent because that is the whole thing.1013

She is either going to pass it; or she is going to fail it.1018

This is the pass; this is the fail.1020

Together they have to make up the 100 percent, the whole thing.1025

Probability of her failing the test is going to be at 15 percent.1032

The second one, the probability of Sam not picking the correct colored marble from a bag is 5/8.1041

Find the probability of him picking the correct marble.1049

The probability of Sam picking the marble, let's just say marble, the correct marble.1056

This is what they are asking for.1067

They want to know what the probability of him picking the correct marble is going to be.1068

He is either going to pick the correct marble or he is going to pick the incorrect marble.1074

The probability, what is given to us, of not picking the correct color is going to be 5/8.1086

The probability of not picking the correct marble, not correct marble, is 5/8.1095

To find the probability of actually picking the correct marble1110

is going to be 1 whole because the whole thing is 1 whole.1114

There is 8 marbles total; 8/8 is 1; 1 whole; minus 5/8.1121

Here to do this, 1 minus 5/8, I need to change this 1 into a whole number.1136

Again remember it is 8/8 because I need the denominators to be the same.1143

I have to have the top number and the bottom number be the same number for it to just be 1.1147

The denominators have to be the same; it has to be 8/8 minus 5/8.1153

See how those are the same whenever we subtract fractions; this becomes 3/8.1162

If the probability of him not picking the correct marble is 5/8,1171

then the probability of him actually picking the correct marble is going to be 3/81178

because together they have to make up 1 whole.1184

1 whole is going to be 100 percent; it is going to be all of it.1188

He is either going to pick the correct one or he is going to not pick the correct one.1192

These two numbers together have to add up to 1 whole.1198

That is it for this lesson; thank you for watching Educator.com.1202

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