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 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

If you draw a card from a deck, replace it, and draw again, are the events independent or dependent?

Back

Independent.

Front

If you draw a marble from a bag without replacing it, are the events independent or dependent?

Back

Dependent.

Front

What is the probability of drawing a heart from a deck of cards, replacing it, and drawing a heart again?

Back

1/52 * 1/52 = 1/2704.

Front

What is the probability of drawing a red marble, not replacing it, and then drawing a blue marble?

Back

Depends on the number of marbles in the bag.

Front

If you roll a die and then flip a coin, are these events independent or dependent?

Back

Independent.

Front

What is the probability of rolling a 4 on a die and then rolling a 4 again?

Back

1/6 * 1/6 = 1/36.

Front

If you draw a card from a deck and do not replace it, how does it affect the probability of drawing a second card?

Back

The probability changes because the total number of cards decreases.

Front

What is an example of independent events in real life?

Back

Flipping a coin and rolling a die.