Statistics and Probability

Conditional Probability and the Rules of Probability

### Lessons for this standard

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

### Related standards

- This standard is part of: MGSE9-12.S.CP
- This standard is derived from: CCSS.Math.Content.HSS-CP.A

#### More specific sub-standards

Describe categories of events as subsets of a sample space using unions, intersections, or complements of other events (or, and, not).

Understand that if two events π΄ and π΅ are independent, the probability of π΄ and π΅ occurring together is the product of their probabilities, and that if the probability of two events π΄ and π΅ occurring together is the product of their probabilities, the two events are independent.

Understand the conditional probability of π΄ given π΅ as π(π΄ πππ π΅)/π(π΅). Interpret independence of π΄ and π΅ in terms of conditional probability; that is, the conditional probability of π΄ given π΅ is the same as the probability of π΄, and the conditional probability of π΅ given π΄ is the same as the probability of π΅.

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

#### Similar standards elsewhere

Understand independence and conditional probability and use them to interpret data.

Understand independence and conditional probability and use them to interpret data

Understand independence and conditional probability and use them to interpret data