Dependent and Independent Events Probability

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent

• Dependent

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent

• Dependent

Out of 125 children at summer camp, 45 signed up for swimming and 38 signed up for arts and crafts. Twelve students who signed up for swimming also signed up for arts and crafts. If a camper is randomly selected, what is the probability that they are signed up for swimming, given that they did not sign up for arts and crafts?

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18

• 2/5

• 3/7

• 4/9

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

• Dependent

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

• Independent

• Flipping a coin and spinning a spinner

• Dependent

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

• Independent

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

• Independent

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

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

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

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

• Independent

• Spinning a spinner and rolling a die

• Independent

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

• Dependent

• 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

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

• Dependent

• Independent