If you're seeing this message, it means we're having trouble loading external resources on our website.

Si estás detrás de un filtro de páginas web, por favor asegúrate de que los dominios *.kastatic.org y *.kasandbox.org estén desbloqueados.

Contenido principal

STANDARDS

 > 

US-SC

Math

South Carolina Math

Probability and Statistics: Conditional Probability and Rules of Probability

PS.SPCR.1

Describe events as subsets of a sample space and

PS.SPCR.1a

Not covered
Use Venn diagrams to represent intersections, unions, and complements.
(Content unavailable)

PS.SPCR.1b

Fully covered
Relate intersections, unions, and complements to the words and, or, and not.

PS.SPCR.1c

Not covered
Represent sample spaces for compound events using Venn diagrams.
(Content unavailable)

PS.SPCR.2

Mostly covered
Use the multiplication rule to calculate probabilities for independent and dependent events. 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.

PS.SPCR.3

Fully covered
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.

PS.SPCR.4

Fully covered
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.

PS.SPCR.5

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

PS.SPCR.6

Fully covered
Calculate the conditional probability of an event A given event B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

PS.SPCR.7

Fully covered
Apply the Addition Rule and the Multiplication Rule to determine probabilities, including conditional probabilities, and interpret the results in terms of the probability model.

PS.SPCR.8

Not covered
Use permutations and combinations to solve mathematical and real-world problems, including determining probabilities of compound events. Justify the results.
(Content unavailable)