---
title: "G.PR.10: Compound Event Probability (Georgia Mathematics standard)"
code: G.PR.10
cite_as: Georgia Standards of Excellence, Mathematics, G.PR.10
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/G.PR.10
md_url: https://georgiahomeroom.org/standards/code/G.PR.10.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/G.PR.10.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# G.PR.10: Compound Event Probability

Solve problems involving the probability of compound events to make informed decisions; interpret expected value and measures of variability to analyze probability distributions.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **G.PR.10.1**: Describe categories of events as subsets of a sample space using unions, intersections, or complements of other events. Apply the Addition Rule conceptually, P(A or B)= P(A) + P(B)-P(A and B), and interpret the answers in context.
- **G.PR.10.2**: Apply and interpret the general Multiplication Rule conceptually to independent events of a sample space, P(A and B) = [P(A)]x[P(B|A)] =[P(B)]x[P(A|B)] using contingency tables or tree diagrams.
- **G.PR.10.3**: Use conditional probability to interpret risk in terms of decision-making and investigate questions such as those involving false positives or false negatives from screening tests.
- **G.PR.10.4**: Define permutations and combinations and apply this understanding to compute probabilities of compound events and solve meaningful problems.
- **G.PR.10.5**: Interpret the probability distribution for a given random variable and interpret the expected value.
- **G.PR.10.6**: Develop a probability distribution for variables of interest using theoretical and empirical (observed) probabilities and calculate and interpret the expected value.
- **G.PR.10.7**: Calculate the expected value of a random variable and interpret it as the mean of a given probability distribution.
- **G.PR.10.8**: Compare the payoff values associated with the probability distribution for a random variable and make informed decisions based on expected value and measures of variability.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.