Conditional Probability Exam Prep

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

Define independent events in probability.

Back

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

Front

Define dependent events in probability.

Back

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.

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.

Front

How do you determine if two events are independent?

Back

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

Front

What is the probability of drawing a red marble followed by a blue marble without replacement?

Back

The events are dependent; the probability changes after the first draw.

Front

What does P(S) represent in probability?

Back

P(S) represents the probability of event S occurring.

Front

What does P(S|CS) represent?

Back

P(S|CS) represents the probability of event S occurring given that event CS has occurred.

Front

How do you calculate the probability of either event A or event B occurring?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the probability of drawing a diamond or a face card from a standard deck of cards?

Back

P(diamond or face card) = 13/52 + 12/52 - 3/52.