Conditional Probability Two Way Table

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 event A given event B.

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. It helps in analyzing the relationship between the two variables.

Front

What does P(A OR B) represent?

Back

P(A OR B) represents the probability that either event A occurs, event B occurs, or both events occur. It is calculated using the formula: P(A OR B) = P(A) + P(B) - P(A AND B).

Front

How do you calculate P(A|B)?

Back

P(A|B) is calculated using the formula: P(A|B) = P(A AND B) / P(B), where P(A AND B) is the probability that both events A and B occur.

Front

What is the formula for P(A AND B)?

Back

P(A AND B) can be calculated as P(A|B) * P(B) or P(B|A) * P(A).

Front

Explain the concept of Proportion in statistics.

Back

Proportion is a statistical measure that represents the part of a whole. It is calculated as the number of favorable outcomes divided by the total number of outcomes.

Front

What does P(A|B) signify in a real-world context?

Back

P(A|B) signifies the likelihood of event A occurring under the condition that event B has already occurred, which is crucial in decision-making processes.

Front

What is the significance of the denominator in conditional probability?

Back

The denominator in conditional probability represents the total number of outcomes for the condition being considered, which normalizes the probability.

Front

How do you interpret P(Don't Play Basketball | Short)?

Back

P(Don't Play Basketball | Short) represents the probability that a student does not play basketball given that they are short.

Front

What is the relationship between conditional probability and independence?

Back

If two events A and B are independent, then P(A|B) = P(A). This means the occurrence of B does not affect the probability of A.