Probability

Front

What is Probability?

Back

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

Front

What does it mean for events to be independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

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

Back

P(A) = Number of favorable outcomes / Total number of outcomes.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on the expected outcomes in a perfect world, while experimental probability is based on actual experiments and observations.

Front

What is a sample space?

Back

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

Front

What is a favorable outcome?

Back

A favorable outcome is an outcome that satisfies the conditions of the event we are interested in.

Front

How do you calculate the probability of multiple independent events occurring?

Back

Multiply the probabilities of each individual event: P(A and B) = P(A) * P(B).

Front

What is the probability of drawing two purple marbles from a box without replacement?

Back

P(both marbles are purple) = (5/10) * (4/9) = 20/90 = 2/9.

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) = P(A and B) / P(B).