CCSS.Math.Content.HSS-CP.A
The standard
Understand independence and conditional probability and use them to interpret data
Common Core State Standards for Mathematics · High School — Statistics and Probability
What this standard means
Students need to read two-way tables, Venn diagrams, and probability statements, then decide how events relate. They should find probabilities for A, B, A and B, A or B, and A given B. They also need to explain when knowing one event changes the chance of another.
Mastery looks like clear setup, correct notation, and plain language interpretations such as “among students who play a sport.” Students often mix up “and” with “or,” reverse conditional probabilities, or assume events are independent because they seem unrelated. Tables with totals help fix most errors.
Ways to teach it
- Give pairs a bag of colored cubes, have them draw twice without replacement, record outcomes, and compute conditional probabilities from their data.
- Ask students to explain the difference between “has a license given owns a car” and “owns a car given has a license.”
- Use a four-question exit ticket with one two-way table asking for P(A), P(B), P(A and B), and P(A given B).
- Use a school survey on grade level and after-school jobs to decide whether grade level and having a job seem independent.
Plan a lesson for CCSS.Math.Content.HSS-CP.A
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
Related standards
- CCSS.Math.Content.HSS-CP.A.3
Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A gi...
- CCSS.Math.Content.HSS-IC.A
Understand and evaluate random processes underlying statistical experiments
- CCSS.Math.Content.HSS-CP.A.5
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
- CCSS.Math.Content.HSS-CP.A.2
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characte...