Independent & Dependent Events

Front

What is an independent event?

Back

An independent event is one where the outcome of one event does not affect the outcome of another event.

Front

What is a dependent event?

Back

A dependent event is one where the outcome of one event affects the outcome of another event.

Front

Example of independent events: A coin is flipped and a die is rolled. Are these events independent or dependent?

Back

Independent

Front

Example of dependent events: Drawing two cards from a deck without replacement. Are these events independent or dependent?

Back

Dependent

Front

If the probability of event A is 0.5 and event B is independent of A, what is the probability of both A and B occurring?

Back

0.5 * P(B)

Front

What is the probability of drawing a red marble from a bag containing 3 red and 2 blue marbles?

Back

3/5

Front

If you draw a red marble and do not replace it, what is the probability of drawing another red marble?

Back

2/4 or 1/2

Front

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

Back

P(A and B) = P(A) * P(B)

Front

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

Back

P(A and B) = P(A) * P(B|A)

Front

If the first event affects the second event, what type of events are they?

Back

Dependent events.