AP Stats Probability

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

P(A) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ possible \ outcomes}.

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on the expected outcomes of an event, while experimental probability is based on actual experiments and observations.

Front

How do you calculate the probability of two independent events A and B occurring?

Back

P(A \text{ and } B) = P(A) \times P(B).

Front

What is the formula for calculating the probability of the union of two events A and B?

Back

P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B).

Front

What does it mean if two events are mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

How do you calculate conditional probability?

Back

P(A|B) = \frac{P(A \text{ and } B)}{P(B)}.

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'.

Front

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

Back

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