Probability and Two Way Frequency Tables

Front

What is Probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Tags

CCSS.7.SP.C.5

Front

What is a Two-Way Frequency Table?

Back

A Two-Way Frequency Table displays the frequency of different outcomes in two categorical variables, allowing for the analysis of the relationship between them.

Tags

CCSS.8.SP.A.4

Front

What does P(A ∩ B) represent?

Back

P(A ∩ B) represents the probability that both events A and B occur simultaneously.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What does P(A ∪ B) represent?

Back

P(A ∪ B) represents the probability that either event A or event B occurs.

Tags

CCSS.HSS.CP.B.7

Front

What does P(A^C) represent?

Back

P(A^C) represents the probability that event A does not occur.

Tags

CCSS.HSS.CP.A.1

Front

How do you calculate P(A ∩ B)?

Back

P(A ∩ B) can be calculated by dividing the number of outcomes where both A and B occur by the total number of outcomes.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

How do you calculate P(A ∪ B)?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Tags

CCSS.HSS.CP.B.7

Front

What is the Complement Rule in Probability?

Back

The Complement Rule states that P(A^C) = 1 - P(A), meaning the probability of an event not occurring is equal to one minus the probability of the event occurring.

Tags

CCSS.HSS.CP.B.7

Front

What is Conditional Probability?

Back

Conditional Probability, denoted as P(A | B), is the probability of event A occurring given that event B has occurred.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How do you calculate Conditional Probability?

Back

P(A | B) = P(A ∩ B) / P(B), provided P(B) > 0.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5