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.

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 probability of both events occurring and P(B) is the probability of event B.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

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

Back

P(Female | Part-time) represents 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) = 15/31, what does this imply?

Back

This implies that if we know a student is part-time, there is a 15 out of 31 chance that the student is female.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the formula for finding P(Male | Full-time)?

Back

P(Male | Full-time) = P(Male and Full-time) / P(Full-time).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does P(Pizza | Senior) indicate?

Back

P(Pizza | Senior) indicates the probability that a senior student prefers pizza.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

If P(Sandals | Pants) = 2/7, what does this mean?

Back

This means that among students wearing pants, 2 out of 7 are wearing sandals.

Tags

CCSS.HSS.CP.B.6

Front

What is the significance of the denominator in conditional probability?

Back

The denominator represents the total number of occurrences of the condition (event B) under which we are calculating the probability.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How do you interpret P(Full-time | Male) = 3/7?

Back

This means that if we know a student is male, there is a 3 out of 7 chance that the student is full-time.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the relationship between joint probability and conditional probability?

Back

Joint probability P(A and B) can be expressed in terms of conditional probability: P(A and B) = P(A|B) * P(B).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5