Independent & 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 cards from a deck without replacement is a dependent event.

Front

If Ryan wins an iPad, what is the probability that the next person will win a basketball?

Back

This is a dependent event because the total number of prizes changes after Ryan wins an iPad.

Front

If Brooks draws a card, replaces it, and draws again, is this independent or dependent?

Back

This is an independent event because replacing the card keeps the total number of cards the same.

Front

What is the probability of drawing a second granola bar of the same flavor after eating one?

Back

This is a dependent event because the total number of granola bars and the number of that flavor decreases after one is eaten.

Front

When Chris pulls out three Skittles one after another, is this independent or dependent?

Back

This is a dependent event because the total number of candies decreases with each draw.

Front

What is the probability that both Larry and his friend draw Lane number 1 in a race?

Back

This is a dependent event because the outcome of Larry's draw affects the probability of his friend's draw.

Front

How do you calculate the probability of independent events?

Back

For independent events, multiply the probabilities of each event. For example, P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events?

Back

For dependent events, the probability of the second event depends on the outcome of the first. Use P(A and B) = P(A) * P(B|A).

Front

What is an example of independent events in real life?

Back

An example of independent events is rolling two dice. The result of one die does not affect the other.