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Worksheets

Independent & Dependent Events

Total questions: 18

Worksheet time: 39mins

Name
Class
Date
1.

Marshall rolls a die, flips a coin, and rolls another die.

What is the probability she will get a 2, then tails, then a 5?

a)

Dependent

114\frac{1}{14}

b)

Independent

114\frac{1}{14}

c)

Dependent

172\frac{1}{72}

d)

Independent

172\frac{1}{72}

2.

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?

a)

Independent

380\frac{3}{80}

b)

Independent

376\frac{3}{76}

c)

Dependent

376\frac{3}{76}

d)

Dependent

380\frac{3}{80}

3.

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?

a)

Independent

b)

Dependent

4.

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?

a)

Dependent

35%35\%

b)

Independent

37%\approx37\%

c)

Dependent

37%\approx37\%

d)

Independent

35%35\%

5.

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

a)

Dependent

136\frac{1}{36}

b)

Independent

136\frac{1}{36}

c)

Independent

135\frac{1}{35}

d)

Dependent

135\frac{1}{35}

6.

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?

a)

Dependent

110\frac{1}{10}

b)

Independent

110\frac{1}{10}

c)

Independent

00

d)

Dependent

00

7.

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?

a)

Independent

b)

Dependent

8.

Donald and Kay are playing a card game. He turns over a Jack and keeps it in his hand. He is hoping to pick another Jack from the pile. Is this an example of an independent or dependent event?

a)

Independent

b)

Dependent

9.

Shannon chooses a marble out of a bag containing 15 red, 7 blue, 18 green, and 5 yellow marbles. He looks at it, puts it back in the bag, and draws another. What is the probability both marbles will be yellow?

a)

Independent

181\frac{1}{81}

b)

Dependent

181\frac{1}{81}

c)

Independent

199\frac{1}{99}

d)

Dependent

199\frac{1}{99}

10.

Lynne rolls an even number on a six-sided number cube, then rolls a number less than 5. What is the probability of this happening?

a)

Independent

13\frac{1}{3}

b)

Dependent

13\frac{1}{3}

c)

Dependent

12\frac{1}{2}

d)

Independent

12\frac{1}{2}

11.

Justine has 15 granola bars, 5 each in 3 different flavors. She randomly chooses one and eats it. What is the probability she will choose a second one in the same flavor? Is this an example of an independent or dependent event?

a)

Independent

b)

Dependent

12.

Tim rolls a six-sided number cube three times. What is the probability that he will get 3, 5, and 3 in that order?

a)

Independent

1216\frac{1}{216}

b)

Dependent

1216\frac{1}{216}

c)

Independent

12\frac{1}{2}

d)

Dependent

12\frac{1}{2}

13.

Mocha randomly selects a bacon flavored dog biscuit from a box of treats that contains 15 each of bacon, cheese, and chicken flavored biscuits. What is the probability that the second biscuit she randomly selects will be a different flavor than the first? Is this an example of a dependent or independent event?

a)

Dependent

b)

Independent

14.

Marla's jewelry box contains two gold hoop earrings and two silver hoop earrings. She randomly selects two earrings. What is the probability that both are silver hoops?

a)

Dependent

23\frac{2}{3}

b)

Dependent

16\frac{1}{6}

c)

Independent

16\frac{1}{6}

d)

Independent

23\frac{2}{3}

15.

Rachel plays a carnival game in which she throws darts at balloons to break them. There are 4 purple, 4 blue, 3 pink, 2 green, and 2 yellow balloons. If every balloon has an equal chance of getting hit, what is the probability she will break two green balloons?

a)

Independent

1105\frac{1}{105}

b)

Independent

2225\frac{2}{225}

c)

Dependent

2225\frac{2}{225}

d)

Dependent

1105\frac{1}{105}

16.

Forty percent of the shoes in Rosemary's closet are white. One shoe is chosen and replaced. Another shoe is chosen and replaced. Then a third shoe is chosen. What is the probability that none of the chosen shoes are white? Is this an example of an independent or dependent event?

a)

Independent

b)

Dependent

17.

Joe flips a coin three times. What is the probability that he gets heads, then tails, then tails?

a)

Independent

14\frac{1}{4}

b)

Dependent

18\frac{1}{8}

c)

Independent

18\frac{1}{8}

d)

Dependent

14\frac{1}{4}

18.

Makenna's combination lock has three wheels, each of which have the digits 0 through 9. She has forgotten her combination. What is the probability she will guess it on the first try?

a)

Dependent

1 in a 1001\ in\ a\ 100

b)

Independent

1 in a 1001\ in\ a\ 100

c)

Independent

1 in a 10001\ in\ a\ 1000

d)

Dependent

1 in a 10001\ in\ a\ 1000