Complements and Conditional Probability

Front

What is the definition of 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 event A given event B.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How do you calculate conditional probability?

Back

To calculate conditional probability, use 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.

Tags

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.3

Front

What is the definition of complements in probability?

Back

The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is given by P(A') = 1 - P(A).

Tags

CCSS.HSS.CP.A.1

Front

How do you find the probability of the complement of an event?

Back

To find the probability of the complement of an event A, use the formula: P(A') = 1 - P(A).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

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

Back

For two independent events A and B, the probability of both events occurring is given by: P(A and B) = P(A) * P(B).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the difference between independent and dependent events?

Back

Independent events are those whose occurrence does not affect the probability of the other event occurring. Dependent events are those where the occurrence of one event affects the probability of the other event.

Tags

CCSS.HSS.CP.A.5

Front

What is the probability of a student taking Latin given they are in a club?

Back

To find this, use the formula: P(Latin | Club) = P(Latin and Club) / P(Club).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the probability that a randomly selected student is not in a club?

Back

To find this, use the formula: P(Not in Club) = 1 - P(In Club).

Tags

CCSS.HSS.CP.B.7

Front

How do you express probability as a fraction?

Back

Probability can be expressed as a fraction by taking the number of favorable outcomes over the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

Front

What is the probability of a person preferring Honda given their age is 18-34?

Back

To find this, use the formula: P(Honda | Age 18-34) = P(Honda and Age 18-34) / P(Age 18-34).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5