Conditional Probability

Front

What is Conditional Probability?

Back

The probability of an event occurring given that another event has already occurred.

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|B) is the probability of A given B.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does P(A|B) represent?

Back

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

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the formula for finding the probability of two independent events A and B?

Back

P(A and B) = P(A) * P(B) if A and B are independent.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

If P(A) = 0.3 and P(B) = 0.4, what is P(A and B) if A and B are independent?

Back

P(A and B) = 0.3 * 0.4 = 0.12.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'.

Tags

CCSS.HSS.CP.A.1

Front

If P(A) = 0.5, what is P(A')?

Back

P(A') = 1 - P(A) = 1 - 0.5 = 0.5.

Tags

CCSS.7.SP.C.5

Front

What is Bayes' Theorem?

Back

A formula that describes the probability of an event based on prior knowledge of conditions related to the event.

Tags

CCSS.HSS.CP.B.6

Front

How do you interpret P(A|B) in a real-world context?

Back

It represents the likelihood of event A happening under the condition that event B is true.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the significance of the denominator in the conditional probability formula?

Back

The denominator, P(B), represents the total probability of the condition under which we are calculating the probability of A.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5