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WorksheetsIndependent and Dependent Events and Compound Probability
Total questions: 66
Worksheet time: 3hrs 38mins
Name
Class
Date
1.
What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of cards?
a)
1 ⁄ 10
b)
1 ⁄ 12
c)
1 ⁄ 24
d)
1 ⁄ 6
2.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
3.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
4.
Geraldo has a deck of cards and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards and then pulls a blue marble out of the bag?
a)
3 ⁄ 15
b)
2 ⁄ 65
c)
7 ⁄ 52
d)
14 ⁄ 260
5.
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?
a)
Yes
b)
No
6.
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
a)
1/4
b)
1
c)
1/8
d)
1/2
7.
Find the probability of: P(A and not 2)
a)
1/12
b)
1/6
c)
1/2
8.
Find the probability of: P(D and 1)
a)
1/12
b)
1/24
c)
1/8
9.
To find the probability you of an INDEPENDENT event...
a)
Find the probability of event #1
b)
Find the probability of event #2
c)
Add the probability of both event #1 & event #2
d)
Multiply the probability of both event #1 & event #2
10.
Clare picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
11.
Clara picks a card at random, puts it back, and then picks another card at random.
a)
Independent
b)
Dependent
12.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
13.
Christopher picks a marble at random. Without putting the first marble back, he picks a second marble at random.
a)
Independent
b)
Dependent
14.
Jackson pulls a coin out of his pocket and places it on the table. Then he reaches back into his pocket and takes out a second coin.
a)
Dependent
b)
Independent
15.
Clara brings a box of donuts to work that contains one donut in each flavor. First the secretary chooses one. Then the office manager makes a selection.
a)
Dependent
b)
Independent
16.
Allie downloads a song from an online service. A few minutes later, a customer in another city searches for a song on the same site.
a)
Dependent
b)
Independent
17.
Reid picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
18.
During P.E. class, one team is picking softball gloves from the class bucket. Lindsey chooses a glove first, followed by Megan.
a)
Dependent
b)
Independent
19.
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.
a)
4/121
b)
8/121
c)
3/121
d)
6/121
20.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?
a)
1/12
b)
1/4
c)
1/8
d)
1/2
21.
Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.
a)
3/5
b)
3/4
c)
3/20
d)
2/5
22.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
23.
You roll a six sided die. What is the probability of rolling an even number three times in a row?
a)
3/100
b)
1/2
c)
1/6
d)
1/8
24.
Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors including one yellow.
a)
1/12
b)
2/9
c)
3/7
d)
7/19
25.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
26.
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?
a)
1/11
b)
1/18
c)
1/36
d)
2/33
27.
Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice. What is the probability that it lands on red first and then blue?
The spinner is spun twice. What is the probability that it lands on red first and then blue?
a)
Independent
b)
Dependent
28.
Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy. We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy. We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.
a)
Independent
b)
Dependent
29.
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.
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.
a)
Independent
b)
Dependent
30.
There are 4 black marbles and 2 white marbles in a bag, what is the probability of choosing a black marble, not replacing it and then choosing white.
a)
4/15
b)
3/17
c)
2/5
d)
2/19
31.
Randy has 4 pennies, 3 nickels, and 3 dimes in his pocket. If he randomly chooses 2 coins without replacement, what is the probability they are both dimes.
a)
1/15
b)
2/27
c)
3/19
d)
4/21
32.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
33.
There are 10 balloons in total, inside 4 of them is a piece of candy.what is the probability of choosing a random balloon that does not have a candy in it?
a)
1/2
b)
2/5
c)
3/5
d)
4/10
34.
Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts. She puts the candy in the bowl. If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?
a)
1/35
b)
7/210
c)
6/225
d)
2/75
35.
A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?
a)
3/50
b)
1/25
c)
1/10
d)
2/5
36.
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(white, then purple, then black)
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
37.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
38.
a)
7/16
b)
1/64
c)
3/28
d)
3/32
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
A
b)
B
c)
C
d)
D
41.
Each of the letters in MATHEMATICS are on separate cards, face down on a table. If you pick a card at random, and then another card without replacement what is the probability that both card will be a vowel?
a)
4/11
b)
16/121
c)
7/21
d)
6/55
42.
Which event is not a dependent event?
a)
Picking 2 students to each be line leader and door holder from a group of 20 students
b)
Picking 2 marbles from a bag without replacing the first marble
c)
Picking 2 crayons from a box at the same time (simultaneously)
d)
Picking an earring, replacing it, then picking a 2nd earring
43.
A box contains 3 red marbles, 6 blue marbles and 1 white marble. The marbles are selected 1 at a time and not replaced. Find P(blue and red)
a)
9/50
b)
1/5
44.
Suppose two tiles are drawn from the collection shown. The first tile is replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/100
c)
1/5
45.
a)
8/81
b)
1/3
c)
1/9
d)
28/81
46.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
47.
Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts. She puts the candy in the bowl. If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a red and then a another red?
a)
2/21
b)
1/3
c)
1/9
d)
9/29
48.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order?
a)
34
b)
2
c)
3
d)
93
49.
Cate's history quiz has 3 true/false questions. How many ways could she complete the quiz? (hint: write out all the possible ways she could complete the quiz)
a)
2
b)
3
c)
8
d)
None of the these
50.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
51.
A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
52.
You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?
a)
4096
b)
24
c)
1296
d)
10
53.
Find the total number of outcomes for picking a day of the week and a month of the year.
a)
19
b)
84
c)
60
d)
210
54.
How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
55.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
56.
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
57.
How would you solve?
A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?
A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
58.
A cooler contains 20 sodas: 6 Sprites, 4 Mountain Dews, 3 Pepsi, and 7 Grape Crushes. Diamond wants a Grape Crush but cannot see in the cooler. What is the probability that she picks a Mountain Dew, puts it back, picks a Pepsi, puts it back, and finally picks her Grape Crush?
a)
7/570
b)
21/200
c)
7/57
d)
21/2000
59.
A cooler contains 20 sodas: 6 Sprites, 4 Mountain Dews, 3 Pepsi, and 7 Grape Crushes. Ievory is passing out sodas. What is the probability that she selects a Sprite, gives it to someone, and then selects a Pepsi?
a)
19/380
b)
9/190
c)
9/200
d)
18/400
60.
What type of event is this?
I roll a die and then I roll it again.
I roll a die and then I roll it again.
a)
Independent
b)
Dependent
c)
Neutral
d)
Multipendent
61.
What type of event is this?
A lottery selects winners by selecting a numbered marble and then selecting another numbered marble without replacing the marble.
A lottery selects winners by selecting a numbered marble and then selecting another numbered marble without replacing the marble.
a)
Independent
b)
Dependent
c)
Neutral
d)
Multipendent
62.
What type of event is this?
I have 2 blue shirts and 3 green shirts in my drawer. I randomly pick a shirt, wear it, and then put it in the laundry hamper. The next day, I pick another shirt to wear.
I have 2 blue shirts and 3 green shirts in my drawer. I randomly pick a shirt, wear it, and then put it in the laundry hamper. The next day, I pick another shirt to wear.
a)
Independent
b)
Dependent
c)
Neutral
d)
Multipendent
63.
Des is on a game show. The show has 5 doors for her to select. One of the doors has a prize behind it and four of the doors are empty. Des has two chances to guess correctly. What is the probability that Des will guess the first door incorrectly and guess correctly on her second guess? (If her first choice was wrong will she really consider it again?)
a)
4/20
b)
3/5
c)
12/20
d)
1/5
64.
Talon bought a bag of gumballs. He has 3 blue, 5 yellow, 2 pink, and 2 orange gumballs. What is the probability that he will select and chew a yellow gumball and then select another yellow gumball?
a)
20/132
b)
5/33
c)
5/36
d)
20/144
65.
Diamond is selecting winners for Minithon prizes. The bucket contains names from 20 seniors, 13 juniors, 7 sophomores, and 2 freshmen. What is the probability that she chooses a freshman and then a senior. She will not replace the names.
a)
20/861
b)
40/1764
c)
40/1722
d)
10/441
66.
Ievory is choosing what clothes to wear this week. She has 8 black shirts, 3 gray shirts, and 5 white shirts. What is the probability that she will randomly choose a black shirt both days? (She will not wear the same shirt two days in a row.)
a)
64/256
b)
64/240
c)
7/30
d)
1/4
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