Simple Dependent Independent Events

The outcome of one event does not influence the outcome of the other event

• independent event

• tree diagram

• simple event

• odds

The outcome of one event does influence the outcome of the other event

• mutually exclusive event

• probability

• dependent event

• simple probability

the outcome of the second event does not depend upon the outcome of the first event

• sample space

• dependent

• independent

• impossible

Independent events:

the occurrence of one event ​ (a)   the probability of another event

Dependent events:

the occurrence of one event ​ (b)   the probability of another event (sometimes called “not independent”)

• does not affect

• does affect

Determine whether each scenario below represents an independent event or dependent event. Flipping a coin and spinning a spinner.

• Dependent

• Flipping a coin and spinning a spinner

• Independent

• Rolling a fair six-sided die and getting an A on your next test

• Dependent

• Drawing a Queen from a deck of cards, then drawing a 10

• Independent

• Selecting a marble from a bad, not replacing it, and selecting another marble from the bag

• Independent

• Drawing an Ace from a deck of cards, replacing it, then drawing a King

Is the following probability situation independent, dependent, or conditional? Two fair six-sided dice, one colored white and one colored red, are thrown. Find the probability that the score on the white die is 1 and red die is even.

• Independent only

• Dependent only

• Independent & conditional

• Dependent & conditional

Flipping two coins is an example of ​ (a)   events because the result of one event ​ (b)   affect the result of the other. Drawing two cards from a deck is an example of ​ (c)   events because the result of one event ​ (d)   affect the result of the other.

• Independent

• does not

• Dependent

• does

If an event is independent, then the outcome of the first event ​ (a)   impact the outcome of the second event.

• does not

• does

Is the following independent or dependent?

using a standard deck of playing cards:

P(A):Selecting a queen with replacement

P(B): selecting a king

• independent

• dependent

Two marbles are drawn from a container in such a way that the first marble drawn is REPLACED before selecting the second marble. Classify this event as dependent or independent.

• Independent

• Dependent