Independent and Dependent Events

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die are independent events.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement is a dependent event.

Front

What is the probability of selecting an 'N' first and a 'D' next from the letters of the word U N D E R S T A N D, if the first letter is replaced?

Back

1/25

Front

If a red marble is drawn and then a blue marble is drawn without replacement, are these events independent or dependent?

Back

Dependent

Front

If two marbles are drawn from a container with replacement, does the outcome of the first draw affect the outcome of the second?

Back

No

Front

What is the probability of picking a white rose first and a red rose next from a tray containing 5 red, 3 yellow, and 8 white roses, if picked without replacement?

Back

1/6

Front

What is the probability of selecting a pen and then a pencil from a box containing 10 pens and 15 pencils?

Back

1/4

Front

Define the term 'sample space' in probability.

Back

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

Front

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

Back

P(A and B) = P(A) * P(B) for independent events A and B.

Front

What is the formula for calculating the probability of dependent events?

Back

P(A and B) = P(A) * P(B|A) for dependent events A and B.