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Comparing Theoretical and Experimental Probability: Key Insights

Grade 12 Math: Master Advanced Concepts & Skills

FM30.1

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Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

Finance: Compound interest

Finance: Compound Interest

Continuous growth and decay

Finance: Future value and present value

FM30.2

Reading and drawing Venn diagrams

Probability with Venn diagrams

FM30.3

Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

FM30.4

Addition rule for "OR"

Addition Rule for "OR"

Multiplication rule for "AND"

Multiplication Rule for "AND"

Conditional probability

Probability involving permutations and combinations

FM30.5

Probability of independent events

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

Law of total probability

Law of Total Probability

Probability of a randomly selected employee meeting a sales target

Probability of a randomly selected driver being involved in an accident

Probability of a randomly selected customer making a purchase

Probability of a randomly selected person being overweight

Bayes' rule

Bayes" Rule

Bayes rule

Bayes" rule

Bayes' Rule

FM30.6

Fundamental counting principle

Fundamental Counting Principle Involving Restrictions

Factorial notation

Path counting problems

Permutations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Binomial theorem

FM30.7

Graphing exponential functions

Graphing transformations of exponential functions

What is a logarithm?

Logarithms and Exponential Growth

Understanding Logarithms through Exponential Growth

Understanding Logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Evaluating logarithms using logarithm rules

Graphing logarithmic functions

Finding a logarithmic function given its graph

FM30.8

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Frequency distribution and histograms

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

Measures of relative standing - z-score, quartiles, percentiles

Bivariate, scatter plots and correlation

Regression analysis

Equation of the best fit line

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Aligned with your class or textbook, you will get grade 12 math help on topics like Trigonometric identities, Vectors, Permutations and Combinations, Matrices, Polynomial functions and so many more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 12 math questions. Then, strengthen your understanding with tons of grade 12 math practice. 

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Foundations of Mathematics 30

Financial Decision Making

math

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade12math.png

Ex.1

Ex.2

Intro

In this section, we compare experimental probability and theoretical probability. Experimental probability is the probability of an event occurring based on experimental results. In contrast, theoretical probability is the expected probability of an event occurring. In previous sections, we practiced calculating theoretical probability. In this section, we examine a given chart to determine whether it provides information about experimental or theoretical probability. Also, we practice interpreting tables of experimental results and using these tables to calculate the experimental and theoretical probabilities of outcomes occurring.  

Comparing theoretical and experimental probabilities

Theoretical vs. experimental probability

Introduction to probability 

Organizing outcomes