Public learning track
Compound Probability, Tree Diagrams, and Simulations
8th Grade · Math · Open Global Math
6 lessons
Goal
Calculate compound probabilities using tree diagrams, counting principles, two-way tables, and probability simulations.
Featured Diagrams
Applying the Fundamental Counting Principle
6 lessons
0 of 6 done
- 1Applying the Fundamental Counting PrincipleUp nextStart
- 2Distinguishing Independent and Dependent EventsPremiumNot started yet
- 3Using Tree Diagrams to Calculate Compound ProbabilitiesNot started yet
- 4Solving Dependent Event Problems Without Replacement Using Tree DiagramsNot started yet
- 5Using Two-Way Tables to Compute Conditional ProbabilitiesNot started yet
- 6Designing and Executing Probability SimulationsNot started yet
Standards Covered
- OGM.9.SP.5Open Global Math Standards 2026™ · Math · Level 9 / Grade 8 (Age 13) · Grade 8Calculate theoretical and experimental probabilities for simple and compound events using tree diagrams, Venn diagrams, two-way tables, and counting principles; apply the complement rule (P(A') = 1 - P(A)) and use simulations / law of large numbers to estimate probabilities.
- OGM.9.SP.4Open Global Math Standards 2026™ · Math · Level 9 / Grade 8 (Age 13) · Grade 8Construct and interpret two-way frequency and relative frequency tables for bivariate categorical data; assess patterns of association using row and column conditional relative frequencies.
Curriculum Framework
8th Grade · Math · Open Global Math
1
7 lessons
Sampling Methods, Parameters, and Bias
Plan data collection studies, differentiate parameters from statistics, and evaluate sampling designs for bias and variation.
2
6 lessons
Measures of Center and Weighted Averages
Calculate and interpret mean, median, mode, and weighted averages while evaluating the impact of extreme values.
3
6 lessons
Measures of Dispersion and Variation
Quantify data spread using quartiles, IQR, mean absolute deviation, sum of squared deviations, and sample/population variance.
4
6 lessons
Displaying and Comparing Distributions
Construct and interpret histograms and box plots to analyze shape, center, spread, and outliers across data sets.
5
8 lessons
Bivariate Data: Scatter Plots and Trend Lines
Construct scatter plots, identify linear and nonlinear patterns, fit informal trend lines, and interpret slope and intercepts.
6
5 lessons
Two-Way Frequency Tables and Categorical Associations
Construct two-way frequency and relative frequency tables and evaluate associations using conditional distributions.
7
6 lessons
Probability Foundations and Single-Event Rules
Calculate theoretical and experimental probabilities, use Venn diagrams, and apply the complement rule and law of large numbers.
8
6 lessons
Compound Probability, Tree Diagrams, and Simulations
Calculate compound probabilities using tree diagrams, counting principles, two-way tables, and probability simulations.