Flashcard Practice: 2 way tables & Conditional Probability

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of variables. It allows for the analysis of the relationship between two categorical variables.

Tags

CCSS.8.SP.A.4

Front

Define conditional probability.

Back

Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which means the probability of A given B.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How do you calculate conditional probability?

Back

To calculate conditional probability, use the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one event does not affect the occurrence of the other. In this case, P(A|B) = P(A).

Tags

CCSS.HSS.CP.A.3

Front

What does it mean if two events are dependent?

Back

Two events are dependent if the occurrence of one event affects the occurrence of the other. In this case, P(A|B) ≠ P(A).

Tags

CCSS.HSS.CP.A.3

Front

What is the formula for finding the probability of the union of two events?

Back

The formula is P(A or B) = P(A) + P(B) - P(A and B).

Tags

CCSS.HSS.CP.B.7

Front

If 45% of children have a dog and 30% have a cat, what is the probability that a child has a dog given they have a cat?

Back

P(Dog|Cat) = P(Dog and Cat) / P(Cat) = 0.18 / 0.30 = 0.60 or 60%.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the significance of a survey in statistics?

Back

Surveys are used to collect data from a sample of individuals to make inferences about a larger population.

Tags

CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

Front

What is a joint probability?

Back

Joint probability is the probability of two events occurring at the same time, denoted as P(A and B).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How do you interpret a two-way table?

Back

A two-way table can be interpreted by analyzing the frequencies and calculating probabilities to understand the relationship between the two variables.

Tags

CCSS.8.SP.A.4