Conditional Probability Flashcard

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.

Front

What does P(A|B) represent?

Back

P(A|B) represents the probability of event A occurring given that event B has occurred.

Front

How do you calculate Conditional Probability?

Back

Conditional Probability is calculated using the formula: P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Front

What is the Complement Rule in probability?

Back

The Complement Rule states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring: P(A') = 1 - P(A).

Front

What is the difference between independent and dependent events?

Back

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

Front

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

Back

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

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is an event in probability?

Back

An event is a specific outcome or a set of outcomes from a probability experiment.

Front

What does it mean for events to be mutually exclusive?

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

How do you find the probability of the union of two events A and B?

Back

The probability of the union of two events A and B is given by: P(A or B) = P(A) + P(B) - P(A and B).