Probability with 2-way tables & Venn diagrams

Front

What is a 2-way table?

Back

A 2-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

What does a Venn diagram represent?

Back

A Venn diagram visually represents the relationships between different sets, showing how they overlap and the elements they share.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you calculate the probability of 'A and B'?

Back

The probability of 'A and B' is calculated by multiplying the probability of A by the probability of B, assuming A and B are independent events.

Front

What is the formula for calculating the probability of 'A or B'?

Back

The probability of 'A or B' is calculated using the formula: P(A or B) = P(A) + P(B) - P(A and B).

Front

What does the shaded region in a Venn diagram typically represent?

Back

The shaded region in a Venn diagram represents the outcomes that satisfy the condition specified, such as 'A and B' or 'Not A'.

Front

How do you interpret the results of a 2-way table?

Back

To interpret a 2-way table, analyze the frequencies in each cell to understand the relationship between the two variables and calculate probabilities as needed.

Front

What is the significance of the total row and column in a 2-way table?

Back

The total row and column in a 2-way table provide the overall counts for each category, which are essential for calculating probabilities.

Front

What is the complement of an event?

Back

The complement of an event A, denoted as A', is the set of all outcomes in the sample space that are not in A.

Front

How do you find the probability of the complement of an event?

Back

The probability of the complement of an event A is calculated as P(A') = 1 - P(A).