PROBABILITY: Independent & Dependent Events

Front

What is the definition of independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other events.

Front

What is the definition of dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other events.

Front

Example of independent events: Picking a marble from one bag and a marble from another bag. True or False?

Back

True

Front

Example of dependent events: Picking a marble from a bag and not replacing it before picking another marble. True or False?

Back

True

Front

If you flip a coin twice, what type of events are the flips?

Back

Independent events.

Front

In a standard deck of cards, if you draw a card and do not replace it, what type of event is drawing a second card?

Back

Dependent event.

Front

What is the probability of drawing two diamonds in a row from a standard deck of cards with replacement?

Back

1/16 or 0.063.

Front

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

Back

Dependent event; the probability changes after the first draw.

Front

If you have a bag with 8 red marbles and 3 blue marbles, what is the probability of drawing a blue marble and then a red marble from another bag?

Back

Independent events; the outcome of one does not affect the other.

Front

What is the formula for calculating the probability of independent events occurring together?

Back

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