Flashcardizz Opener: Independent vs 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 event.

Front

What are dependent events in probability?

Back

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

Front

Example of independent events: Tossing a coin and rolling a die. 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 you draw a marble from a bag and do not replace it, how does it affect the next draw?

Back

The outcome of the first draw affects the second draw, making the events dependent.

Front

If you draw a marble from a bag and replace it before the next draw, how does it affect the next draw?

Back

The outcome of the first draw does not affect the second draw, making the events independent.

Front

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

Back

The probability is 3/5.

Front

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

Back

The probability is 2/4 or 1/2.

Front

In a team selection scenario, if one player is chosen first, how does it affect the selection of the next player?

Back

The selection is dependent because the pool of available players changes.

Front

What is the difference between replacement and no replacement in probability?

Back

Replacement means the first event does not affect the second; no replacement means the first event affects the second.