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Comparing Theoretical and Experimental Probability: Key Insights

Solve problems that involve compound interest in financial decision making

Finance: Compound interest

Finance: Compound Interest

auto-gen

Continuous growth and decay

Finance: Future value and present value

Analyse costs and benefits of renting, leasing and buying

Infinite geometric series

Analyse puzzles and games that involve numerical and logical reasoning using problem-solving strategies

Function notation (advanced)

Solve problems that involve the application of set theory

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

Solve problems that involve conditional statements

Operations with functions

Interpret and assess the validity of odds and probability statements

Introduction to probability

Identify the Probability — Word Problem

Compound Probability

Reading Probability Models

Probability

Organizing outcomes

Calculating Outcomes

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

Probability involving permutations and combinations

Solve problems that involve the probability of two events

Probability of independent events

Conditional 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

Solve problems that involve the fundamental counting principle

Fundamental counting principle

Fundamental Counting Principle Involving Restrictions

Factorial notation

Path counting problems

Solve problems that involve permutations

Permutations

Permutation vs. Combination

Solve problems that involve combinations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Represent data using polynomial functions of degree ≤ 3 to solve problems

Polynomial functions

Recognizing a Polynomial Function

Characteristics of polynomial graphs

Determining the equation of a polynomial function

Applications of polynomial functions

Represent data using exponential and logarithmic functions to solve problems

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Graphing logarithmic functions

Exponential growth and decay by a factor

Finding a logarithmic function given its graph

Represent data using sinusoidal functions to solve problems

Sine graph: y = sin x

Cosine graph: y = cos x

Tangent graph: y = tan x

Cotangent graph: y = cot x

Secant graph: y = sec x

Cosecant graph: y = csc x

Graphing transformations of trigonometric functions

Determining trigonometric functions given their graphs

Ferris wheel trig problems

Foundations of Mathematics 12 (MAT621A)

Financial Mathematics

Logical Reasoning

Mathematical Research Project

Relations and Functions

math

Ex.1

Identifying experimental vs theoretical probability from dice roll data

Ex.2

Intro

Experimental probability of two coins both landing on heads

Theoretical probability of both coins landing on heads

Comparing theoretical vs experimental probability for two coin flips

How increasing trials closes the gap between experimental and theoretical probability

Intro to theoretical vs experimental probability

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 