Choosing Dependent or Independent Probability

Choose whether the probability problem has independent or dependent events. Ben has cards number one through 12. He is going to randomly choose a card, replace it, and then randomly choose another card. What is the probability that he will choose an 8 both times?

• Independent

• Dependent

Sam will roll a six sided die two times. What are the chances he roll a 2 and then a 3?

• Independent

• Dependent

Choose whether the probability problem has independent or dependent events. Ben has cards number one through 12. He is going to randomly choose a card, keep it, and then randomly choose another card. What is the probability that he will choose an 8 and then a 12?

• Independent

• Dependent

Choose whether the probability problem has independent or dependent events.

Penelope placed four red, six pink, three yellow, and two green marbles in a bag. A marble is randomly selected, replaced, and a second marble is selected.

• Independent

• Dependent

Determine if each event represents dependent or independent probability.

• independent

• dependent

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

• Independent

• Spinning a spinner and rolling a die

• Dependent

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

• Independent

• Selecting 2 students for Knights at the Round Table

• Independent

• Flipping 2 coins

• Dependent

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

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

See the question!

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

Match each to its probability.

• 40/180

• P(7th grade | keyboard)

• 12/60

• P(keyboard | 7th grade)

• 81/180

• P(drums or 8th grade)

• 12/180

• P(drums and 8th grade)

• 12/40

• P(keyboard)