Probability Foundations and Single-Event Rules

6 lessons

Goal

Calculate theoretical and experimental probabilities, use Venn diagrams, and apply the complement rule and law of large numbers.

Calculating Theoretical Probability with Sample Spaces

6 lessons

0 of 6 done

Calculating Theoretical Probability with Sample SpacesUp next
Using Relative Frequencies to Estimate Event ProbabilitiesPremiumNot started yet
Understanding the Law of Large Numbers Through Repeated TrialsNot started yet
Applying the Complement Rule P(not A) = 1 - P(A)Not started yet
Calculating Probabilities from Venn DiagramsNot started yet
Using the Addition Rule for Mutually Exclusive and Overlapping EventsNot started yet

Standards Covered

Curriculum Framework

7 lessons

Plan data collection studies, differentiate parameters from statistics, and evaluate sampling designs for bias and variation.

6 lessons

Calculate and interpret mean, median, mode, and weighted averages while evaluating the impact of extreme values.

6 lessons

Quantify data spread using quartiles, IQR, mean absolute deviation, sum of squared deviations, and sample/population variance.

6 lessons

Construct and interpret histograms and box plots to analyze shape, center, spread, and outliers across data sets.

8 lessons

Construct scatter plots, identify linear and nonlinear patterns, fit informal trend lines, and interpret slope and intercepts.

5 lessons

Construct two-way frequency and relative frequency tables and evaluate associations using conditional distributions.

6 lessons

Calculate theoretical and experimental probabilities, use Venn diagrams, and apply the complement rule and law of large numbers.

6 lessons

Calculate compound probabilities using tree diagrams, counting principles, two-way tables, and probability simulations.