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 a card from a deck and not replacing it before drawing another card.

Front

Example of independent events: Spinning a spinner and flipping a coin. Are these events independent or dependent?

Back

Independent

Front

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

Back

Dependent

Front

How do you calculate the total number of outcomes for independent events?

Back

Multiply the number of outcomes for each event. For example, if there are 3 outcomes for event A and 4 outcomes for event B, the total outcomes are 3 x 4 = 12.

Front

If you spin a spinner and roll a die, what type of events are these?

Back

Independent

Front

What is the total number of vacation packages if there are 7 hotels, 2 meal plans, and 4 amusement parks?

Back

56 vacation packages (7 x 2 x 4 = 56).

Front

What happens to the probability of drawing a second card from a deck if the first card is not replaced?

Back

The events are dependent; the total number of cards decreases, affecting the probability.

Front

If you pull a sock from a drawer, put it on, and then pull another sock, are these events independent or dependent?

Back

Dependent

Front

What is the probability of spinning a 3 on a spinner twice in a row? Are these events independent or dependent?

Back

Independent