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Comparing Theoretical and Experimental Probability: Key Insights

CC.HSS.CP.A.2

Probability of independent events

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

auto-gen

CC.HSS.CP.A.3

Conditional probability

CC.HSS.CP.A.5

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

CC.HSS.CP.B.7

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

CC.HSS.CP.B.9

Permutations

Combinations

Probability involving permutations and combinations

CC.HSS.IC.A.1

Sampling methods

Sampling Methods

CC.HSS.IC.A.2

Sampling distributions

Understanding Proportions and Sample Size

Rare event rule

The Rare Event Rule for the Central Limit Theorem

CC.HSS.IC.B.3

Census and bias

Census and Bias

Classifying Bias

CC.HSS.IC.B.4

Margin of error

Margin of Error

Making a confidence interval

Confidence intervals to estimate population mean

CC.HSS.IC.B.5

Traditional hypothesis testing

Traditional Mean Hypothesis Testing

P-value hypothesis testing

Proportion Hypothesis Testing

Analysis of variance (ANOVA)

CC.HSS.IC.B.6

Influencing factors in data collection

CC.HSS.ID.A.1

Frequency distribution and histograms

Equation of the best fit line

The determinant of a 2 x 2 matrix

CC.HSS.ID.A.2

Median and mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Range and outliers

Range and Outlier Word Problems

Outlier Word Problems

Range Word Problems

Find the Range

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

CC.HSS.ID.A.3

Application of averages

Measures of Central Tendency — Word Problem

Find the Means — Data Tables

Find Mean and Mode — Data Table

Identify Outliers — Data Table

Shapes of distributions

CC.HSS.ID.A.4

Introduction to normal distribution

The Normal Distribution and the 68-95-99.7 Rule

Using "invNorm" to Solve Normal Distribution Problems

Normal distribution and continuous random variable

Z-scores and random continuous variables

CC.HSS.ID.B.5

Reading and drawing Venn diagrams

Probability with Venn diagrams

CC.HSS.ID.B.6

Reading and drawing line graphs

Reading Line Graphs

Bivariate, scatter plots and correlation

CC.HSS.MD.A.1

Probability distribution - histogram, mean, variance & standard deviation

CC.HSS.MD.A.2

Properties of expectation

Properties of Expectation and Variance

Properties of Expectation

CC.HSS.MD.A.3

Binomial distribution

Binomial Distribution

Mean and standard deviation of binomial distribution

Interpreting Mean and Standard Deviation of Binomial

CC.HSS.MD.B.7

Type 1 and type 2 errors

Type 1 and Type 2 Errors

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 

Organizing outcomes