8.11 Probability

Front

What is Probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1.

Front

What are Independent Events?

Back

Independent events are events where the outcome of one event does not affect the outcome of another.

Front

What are Dependent Events?

Back

Dependent events are events where the outcome of one event affects the outcome of another.

Front

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

Back

Multiply the probabilities of each independent event.

Front

How do you calculate the probability of dependent events occurring together?

Back

Multiply the probability of the first event by the probability of the second event given that the first event has occurred.

Front

What is the probability of drawing a red marble from a bag of 5 red and 3 blue marbles?

Back

P(Red) = 5/(5+3) = 5/8.

Front

What is the probability of drawing two red marbles without replacement from a bag of 5 red and 3 blue marbles?

Back

P(Red 1) = 5/8, P(Red 2 | Red 1) = 4/7, so P(Red 1 and Red 2) = (5/8) * (4/7) = 20/56 = 5/14.

Front

If a spinner has 4 equal sections (Red, Blue, Green, Yellow), what is the probability of landing on Red?

Back

P(Red) = 1/4.

Front

What is the probability of landing on Red twice in a row with a fair spinner?

Back

P(Red 1) = 1/4, P(Red 2) = 1/4, so P(Red 1 and Red 2) = (1/4) * (1/4) = 1/16.

Front

What is a sample space?

Back

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