Conditional Probability

Front

What is 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 A given B.

Front

How is conditional probability calculated?

Back

Conditional probability is calculated using the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring and P(B) is the probability of event B.

Front

What does P(B|A) represent?

Back

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

Front

What is the significance of a Venn diagram in probability?

Back

A Venn diagram visually represents the relationships between different events, helping to illustrate concepts like union, intersection, and conditional probability.

Front

What does P(Male | Full-time) indicate?

Back

P(Male | Full-time) indicates the probability that a student is male given that they are a full-time student.

Front

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

Back

The formula is P(A|B) = P(A and B) / P(B).

Front

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

Back

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

Front

How do you interpret a probability of 0.4 in a conditional probability context?

Back

A probability of 0.4 means there is a 40% chance of the event occurring given the condition specified.

Front

What does a percentage of 65% for males driving sports cars indicate?

Back

It indicates that 65% of the male population in the surveyed group drives sports cars.

Front

What is the meaning of P(Pizza|Senior)?

Back

P(Pizza|Senior) represents the probability of a student choosing pizza given that they are a senior.