Venn Diagrams and Two-Way Tables Review

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, often used to illustrate the overlap between them.

Front

What is a two-way table?

Back

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

Front

What is conditional relative frequency?

Back

Conditional relative frequency is the ratio of the frequency of a specific event occurring given a condition, compared to the total frequency of the condition.

Front

How do you calculate the conditional probability P(A | B)?

Back

P(A | B) is calculated by dividing the probability of both A and B occurring by the probability of B occurring: P(A | B) = P(A and B) / P(B).

Front

What does P(F | A) represent in probability?

Back

P(F | A) represents the probability of event F occurring given that event A has occurred.

Front

What is the significance of the total number of observations in probability calculations?

Back

The total number of observations is crucial as it serves as the denominator when calculating probabilities and relative frequencies.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes: P(Event) = Number of favorable outcomes / Total outcomes.

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 probability of the other event occurring.

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How do you interpret a probability expressed as a percentage?

Back

A probability expressed as a percentage indicates the likelihood of an event occurring out of 100, where 0% means impossible and 100% means certain.

Front

What is the relationship between joint probability and conditional probability?

Back

Joint probability refers to the probability of two events occurring together, while conditional probability refers to the probability of one event occurring given that another event has occurred.