Probability with Two-Way Tables

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Front

What is a two-way table?

Back

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

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What does it mean to find conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

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What is the formula for conditional probability?

Back

P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.

Front

What is the difference between independent and dependent events?

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Independent events do not affect each other's outcomes, while dependent events do.

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How can you represent data using a two-way table?

Back

Data can be represented in a two-way table by organizing counts of occurrences for two categorical variables in rows and columns.

Front

What is the total probability rule?

Back

The total probability rule states that the total probability of an event can be found by summing the probabilities of all mutually exclusive outcomes.

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How do you interpret the results from a two-way table?

Back

Results from a two-way table can be interpreted by analyzing the frequencies and calculating probabilities to understand relationships between the variables.

Front

What is the probability of selecting a specific group from a two-way table?

Back

To find the probability of selecting a specific group, divide the count of that group by the total count in the table.