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

What is the formula for Conditional Probability?

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(T | C) represent?

Back

The probability of event T occurring given that event C has occurred.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

If P(A) = 0.4 and P(B) = 0.5, what is P(A and B) if A and B are independent?

Back

P(A and B) = P(A) * P(B) = 0.4 * 0.5 = 0.2.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the meaning of P(Female | Part-time)?

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

How do you calculate P(A | B) using a frequency table?

Back

Count the number of occurrences of A and B together, then divide by the total occurrences of B.

Tags

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) = 0.3, what is P(A')?

Back

P(A') = 1 - P(A) = 1 - 0.3 = 0.7.

Tags

CCSS.7.SP.C.5

Front

What is the significance of a conditional probability being greater than or less than 0.5?

Back

If P(A|B) > 0.5, event A is more likely to occur given B; if < 0.5, A is less likely.

Tags

CCSS.HSS.CP.A.3

Front

What is Bayes' Theorem?

Back

A way to find a conditional probability when you know the reverse conditional probability and the marginal probabilities.

Tags

CCSS.HSS.CP.B.6