Identifying Independent Dependent Probability

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

• Independent

• Dependent

If you flip a coin then roll a number cube, is it independent or dependent probability?

• Independent

• Dependent

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?

• 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

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?

• 0.21

• 0.09

• 0.28

• 0.25

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

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

• Dependent

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

• Independent

• Spinning a spinner and rolling a die

• Independent

• Selecting 2 students for Knights at the Round Table

• Independent

• Flipping 2 coins

• Dependent

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

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

• Independent

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

• Dependent

• Flipping a coin and spinning a spinner

• 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

Determine if each event represents dependent or independent probability.

• independent

• dependent