Conditional Probability Two Way Table

Front

What is Conditional Probability?

Back

The probability of an event occurring given that another event has already occurred, expressed as P(A | B) = P(A and B) / P(B).

Front

Define a Two-Way Table.

Back

A table that displays the frequency distribution of variables, allowing for the analysis of the relationship between two categorical variables.

Front

What does P(A | B) represent?

Back

The probability of event A occurring given that event B has occurred.

Front

How do you calculate P(Short | Play Basketball)?

Back

P(Short | Play Basketball) = P(Short and Play Basketball) / P(Play Basketball).

Front

What is the formula for Conditional Probability?

Back

P(A | B) = P(A and B) / P(B).

Front

What is the significance of the denominator in Conditional Probability?

Back

The denominator represents the total probability of the condition (event B) occurring.

Front

If P(A | B) = 0.5, what does this imply?

Back

It implies that there is a 50% chance of event A occurring given that event B has occurred.

Front

What is the relationship between joint probability and conditional probability?

Back

Joint probability P(A and B) can be expressed as P(A | B) * P(B).

Front

How do you interpret P(Older than 30 | No Facebook)?

Back

This represents the probability that a person is older than 30 given that they do not have a Facebook account.

Front

What does it mean if P(A | B) is greater than P(A)?

Back

It indicates that event B positively influences the occurrence of event A.