Conditional Probability

Front

What is Conditional Probability?

Back

The probability of an event occurring given that another event has already occurred. It is denoted as P(A|B), which reads 'the probability of A given B'.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How is Conditional Probability calculated?

Back

P(A|B) = P(A and B) / P(B), where P(A and B) is the joint probability of both events occurring.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does P(Female | Part-time) represent?

Back

The probability that a student is female given that they are a part-time student.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

If P(A|B) = 0.67, what does this imply?

Back

It implies that there is a 67% chance of event A occurring given that event B has occurred.

Tags

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.3

Front

What is the formula for Bayes' Theorem?

Back

P(A|B) = [P(B|A) * P(A)] / P(B), used to find conditional probabilities.

Front

What is the significance of the Venn Diagram in probability?

Back

Venn Diagrams visually represent the relationships between different events, helping to calculate probabilities of unions and intersections.

Front

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

Back

The probability that a student is full-time given that they are male.

Tags

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.3

Front

How do you interpret P(Sandals|Pants) = 2/7?

Back

There is a 2 out of 7 chance that a student is wearing sandals given that they are wearing pants.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the relationship between independent events and conditional probability?

Back

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

Tags

CCSS.HSS.CP.A.3

Front

What does it mean if P(A|B) = 1?

Back

It means that event A will definitely occur if event B has occurred.

Tags

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.3