Dependant and Independent Probabilities

The outcome of one event does not affect the outcome of the other event.

• independent event

• dependent event

The outcome of one event does affect the outcome of the other event.

• independent event

• dependent event

There are 2 red, 6 white, and 2 black socks in a box. You choose a sock, put it on, then choose another sock.

• Independent

• Dependent

Match the following based on whether it would independent or dependent probability.

• Independent

• Taking a marble out of a bag, replacing it, then picking another

• Dependent

• Flipping 2 coins

• Dependent

• Spinning a spinner and rolling a die

• Independent

• Selecting 2 students for Knights at the Round Table

• Independent

• Taking a piece of candy from a bag, eating it, then picking another

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent? (a)  

• Independent

• Dependent

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 if each event represents dependent or independent probability.

Flipping three coins​ (a)  

Drawing candy from a bag, not replacing it , then selecting another piece​ (b)  

Getting a marble of a bag, replacing it, then getting another​ (c)  

• independent

• dependent

Determine if each event represents dependent or independent probability.

• independent

• dependent

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

• Independent

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

• Dependent

• 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

• Flipping a coin and spinning a spinner

• Independent

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

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