Independent and Dependent

What does it mean for two events to be independent of each other?

• What happens in the second event depends on what happens in the first.

• The result of the first event has no effect on the result of the next event.

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

You roll a number cube twice. The first time is a 3 and the second time is an even number.

• Independent

• Dependent

You randomly draw a marble from a bag of marbles. You get a red and don't put it back into the bag. You draw another marble out of the bag and get a yellow.

• Independent

• Dependent

Brooks draws the Ace of Diamonds from a deck of cards. He looks at it, puts it back in the deck, and draws again. What is the probability his second card will be the 2 of Clubs? Is this an example of an independent or dependent event?

• Independent

• Dependent

Ryan goes to a party where guests are awarded door prizes. There are 10 fishing poles, 7 basketballs, and 3 iPads. He wins an iPad. What is the probability that the next person drawn will win a basketball?

Meredith randomly chooses a soda from the refrigerator, drinks it, and then randomly chooses another. The refrigerator contained 5 Cokes, 7 Dr. Peppers, 3 Sprites, and 5 Diet Cokes. What is the probability that she will choose a Diet Coke and then a Sprite?

Sue rolls two six-sided dice and gets a 4. What is the probability her next roll will be a 1?

There are 10 lanes for the 100 meter hurdle race. Larry draws a lane number, then his friend draws a lane number for the same race. What is the probability they will both draw Lane number 1?

Chris opens a bag of Skittles and randomly pulls out three candies, one after another. The bag contains 9 red, 7 orange, 8 yellow, 7 green, and 9 purple candies. Is this an example of an independent or dependent event?

• Independent

• Dependent