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Concept Map
Concepts
FlexBook® Textbooks
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Counting Sets (Combinatorics)
Overview of Combinatorics
Counting Rule to Calculate Probabilities
Fundamental Counting Principle
Basic Counting Rules
Counting Techniques
Permutations
Overview of Permutations
Factorials
Permutation
Permutations and Combinations Compared
Permutation Problems
Permutations with Repetition
Combinations
Overview of Combinations
Combination
Combination Problems
Pascal's Triangle & Binomial Expansion
Fibonacci Numbers
Theoretical and Experimental Probability
Simple Events
Experimental and Theoretical Probability
Overview of Theoretical Probability Models
Overview of Simple Events
Definition of Probability
Calculate Probabilities of Simple Events with Equally Likely Outcomes
Calculate Probabilities of Simple Events with Non-Equally Likely Outcomes
Measurement of Probability
Use Simulations to Estimate Probabilities of Simple Events
Complement Rule for Probability
Geometric Probability
Dependent and Independent Events
Overview of Dependent and Independent Events
Independent Events
Independence versus Dependence
Independent Events and Sample Spaces
Dependent Events and Sample Spaces
Recognizing Independent and Dependent Events
Probability of Independent Events
Probability of Dependent Events
Bayes' Theorem
Sets
Roster or Tabular Form
Set Builder or Rule Method
Empty Set
Singleton Set
Finite Set
Infinite Set
Equivalent Sets
Equal Sets
Overlapping Sets and Disjoint Sets
Subsets
Power set
Universal set
Subsets of Real Numbers
Venn Diagrams
Union of sets
Intersection of sets
Difference of sets
Complement of a set
Cartesian Products of Sets
Algebra of Sets
Sample Spaces and Events
Operations with Sets
Tree Diagrams
Counting Events
Calculating Compound Events
Overview of Calculating Compound Events
Probability of Compound Events
Using Simulations to Estimate Probabilities of Compound Events
Numerical Computations
Additive and Multiplicative Rules for Probability
Addition Rule
Multiplication Rule
Mutually Exclusive Events
Mutually Inclusive Events
Probability and Permutations
Probability and Combinations
Conditional Probability
Conditional Probability Applications
Empirical Probability
Overview of Empirical Probability
Theoretical and Empirical Probability
Empirical (Experimental) Probability
Axiomatic Approach to Probability
Applications of Probability
Simulation of Random Behavior and Probability Distributions
Theoretical and Experimental Spinners
Expected Value
Probability and Statistics
Distribution
Overview of Probability and Statistics
Overview of Interpreting Probability Models
Overview of Distribution
Probability Distribution
Binomial Distributions and Probability with TI Calculators
Computing Probabilities for the Standard Normal Distribution
Empirical Rule
Normal Approximation of the Binomial Distribution
Poisson Probability Distributions
Geometric Probability Distributions
Multinomial Distributions
Exponential Distributions
Random Variables
Overview of Random Variables
Discrete and Continuous Random Variables
Discrete Random Variables
Mean and Standard Deviation of Discrete Random Variables
Continuous Random Variables
Sums and Differences of Independent Random Variables
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