Independent and Dependent Probabilities

A(n) _____________ variable depends on or is changed by another variable.

• dependent

• independent

Which of the following is the label for the independent variable.

• Money Collected

• Raising Money

• Boxes Sold

• None of the above

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9

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

• independent event

• dependent event

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

Determine if each event represents dependent or independent probability.

• independent

• dependent

See the question!

Clara picks a marble at random, puts it back, and then picks another marble at random.
(a)  

• 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

• Independent

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

• Independent

• Spinning a spinner and rolling a die

• Dependent

• Flipping 2 coins

• Dependent

• Selecting 2 students for Knights at the Round Table

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