Main content

- Common Core MathK - 8High School

# Statistics & Probability: Conditional Probability & the Rules of Probability

289 questions14 skills

# Statistics & Probability: Conditional Probability & the Rules of Probability

289 questions14 skills

## HSS-CP.A.1

51 questions2 skills

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).

## HSS-CP.A.2

42 questions2 skills

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 characterization to determine if they are independent.## HSS-CP.A.3

30 questions1 skill

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*given*B*is the same as the probability of*A*, and the conditional probability of*B*given*A*is the same as the probability of*B*.## HSS-CP.A.4

30 questions1 skill

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.

## HSS-CP.A.5

30 questions1 skill

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

## HSS-CP.B.6

76 questions3 skills

Find the conditional probability of

*A*given*B*as the fraction of*B*’s outcomes that also belong to*A*, and interpret the answer in terms of the model.## HSS-CP.B.7

42 questions2 skills

Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.

## HSS-CP.B.8

24 questions2 skills

Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

## HSS-CP.B.9

66 questions4 skills

Use permutations and combinations to compute probabilities of compound events and solve problems.