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Probability

Total questions: 60

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
2.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
3.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
4.
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
5.
Victor picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
6.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
7.
The probability based on frequency of outcomes during an experiment
a)
 experimental probability
b)
fundamental counting principle
c)
mutually exclusive event
d)
dependent event
8.
The outcome of one event does not influence the outcome of the other event
a)
independent event
b)
tree diagram
c)
simple event
d)
odds
9.
The outcome of one event does influence the outcome of the other event
a)
mutually exclusive event
b)
probability
c)
dependent event
d)
simple probability
10.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
11.
The theoretical probability of rolling an even number on a dice.
a)
3/6
b)
1/2
c)
1/6
d)
5/6
12.
The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section of the spinner.P(white)=
a)
1/8
b)
5/8
c)
7/8
d)
3/7
13.
The grocery store will ask another group of 25 dentists each to recommend a toothpaste brand. Based on the information in the table, what is the most reasonable prediction of the number of dentists in this group who will recommend Brand T?
a)
3
b)
2
c)
9
d)
4
14.
The table shows the number of votes for different school mascots. Based on the information in the table, what is the most reasonable prediction of the number of votes for eagle out of the next 25 votes?
a)
72
b)
8
c)
1
d)
21
15.
A bag contains:-5 red marbles-6 blue marbles-3 green marbles-4 black marbles-2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
a)
14
b)
65
c)
7
d)
35
16.
Ichiro has a set of 20 cards that each show a different number, as shown. Ichiro will randomly select one of these cards. What is the probability that the card he selects will be a prime number?
a)
8/12
b)
1/8
c)
8/20
d)
10/20
17.
A principal randomly chose 40 students from grade 5. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 120 students from grade 5?
a)
27
b)
9
c)
18
d)
80
18.
Twenty-five people were asked which gift was their favorite.  Using the table,which statement is false?
a)
Perfume & flowers were equally favored
b)
Jewelry was the favorite 1/5 of the time.
c)
Perfume & clothes were favored half the time.
d)
Flowers were twice as popular as clothes
19.
There are 8 blue marbles in a bag of 20 total marbles.  What is the probablity of NOT choosing a blue marble at random from the bag?
a)
40%
b)
60%
c)
80%
d)
85%
20.
While standing outside of the school waiting to go home, you notice that 3 out of every 12 students leaving school are on their cell phones.  What is the probability that the next student leaving school will NOT be on his or her cell phone?
a)
25%
b)
30%
c)
75%
d)
70%
21.
On Saturday, 20 out of 80 thirteen year olds slept past 9 AM.  What percent slept past 9 AM?
a)
25%
b)
30%
c)
40%
d)
75%
22.
100 second graders were asked to do a book report about one of these four zoo animals.  The number of students who chose each animal is shown in the table.  If 250 second graders had to choose of of the four animals, predict how many would choose to write about a giraffe.
a)
60 students
b)
50 students
c)
40 students
d)
30 students
23.
How many combinations of outfits can you make from 3 pairs of shorts, 2 shirts, and 1 pair of shoes?
a)
8 combinations
b)
5 combinations
c)
4 combinations
d)
6 combinations
24.
All possible ways these two spinners can be spun are listed in the table.  When both spinners are spun, what is the probability that AT LEAST one "2" will be spun?
a)
1/2
b)
5/12
c)
1/4
25.
What is the probability of tossing two six-sided dice and both landing on 3?
a)
1/6
b)
1/36
c)
1/4
26.
Ten marbles are in a bag.  What is the probability of choosing a black marble, replacing it back into the bag, and then getting a white marble?
a)
2/25
b)
3/50
c)
1/8
d)
3/5
27.
What is the sum of P(event) and its complement?
a)
0
b)
1
c)
0.5
d)
None of these
28.
If there is a 70% chance of rain, what is the probability that it will NOT rain?
a)
100%
b)
50%
c)
30%
d)
10%
29.
There are 8 marbles in a bag. 3 are striped. What is the P(NOT striped)?
a)
3/8
b)
5/3
c)
None of these
d)
3/5
30.
  Which of the following describes theoretical probability?
a)
a.  Perform an experiment to determine the probability
b)
a.      Determining the expected probability of an event
c)
a.  Perform a simulation and count the number of possible outcomes
d)
a.  Use trials to count the number of desired outcomes
31.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
32.
What is the probability of hitting the Bankrupt when spinning the wheel?
a)
1/30
b)
1/24
c)
1/25
d)
1/23
33.
What is the sum of P(event) and its complement?
a)
0
b)
1
c)
0.5
d)
None of these
34.

John has 20 DVDs in his collection. 9 are super hero movies and the rest are comedies. If John selects a movie at random, what is the probability the movie is a comedy?

a)

1 + 9/20 , because the probability is 11/20.

b)

1 - 9/20 , because the probability is 11/20.

c)

1 - 11/20 , because the probability is 9/20.

d)

1 + 11/20 , because the probability is 9/20.

35.
Brandon rolls two dice that are numbered from 1 to 6. What is the probability that the sum is NOT 6?
a)
31/36
b)
5/36
c)
1/6
d)
None of these
36.
Alison chooses a playing card at random from a standard deck. What is the P(NOT heart)?
a)
25%
b)
50%
c)
75%
d)
None of these
37.
Six friends are going to play a ball game.  Each team has 3 players.  How many different team combinations are possible?
a)
120
b)
6
c)
18
d)
20
38.
At summer camp, the campers pick two activities for the first day of camp.  They can choose from among hiking, canoeing, rock climbing, and bird watching.  How many different combinations of activities are there?
a)
6
b)
12
c)
2
d)
8
39.
At the middle school, a student takes 4 core classes a day.  There are 6 different core classes offered.  How many different combinations of classes are there?
a)
24
b)
15
c)
720
d)
360
40.
Ms. Hudson's literature class is voting on the 2 most influential people of the 18th century.  The choices are 5 famous people.  How many different combinations are possible?
a)
10
b)
120
c)
20
d)
60
41.
Event A has a probability of 0.3. What is the probability of the complement of Event A?
a)
30%
b)
3/100
c)
7/100
d)
0.7
42.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
43.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
44.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
45.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
46.
The spinner is spun two times.  Determine the probability of landing on red the first spin and on green the second spin .
a)
1/9
b)
1/10
c)
0
d)
1/12
47.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, replacing it, and then picking a green pen?
a)
1/2
b)
4/11
c)
1/6
d)
2/3
48.
Which compound event if composed of dependent events?
a)
Selecting a candy bar from a bag eating the candy bar and selecting again
b)
Selecting a candy bar from a bag, deciding you don't want it, replace the candy bar and select again.
49.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
50.
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
51.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
52.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
53.
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)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
54.
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. P(apple, apple)
a)
2/15
b)
3/17
c)
1/19
d)
6/21
55.
Mrs. Cole has to choose two pieces of fruit for her lunch.  If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?  (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)
a)
1/4
b)
7/30
c)
1/32
d)
1/64
56.
Find the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black. 
a)
9/25
b)
1/4
c)
2/23
d)
3/41
57.
Find the probability of drawing a red checker from a bag of 9 black and 6 red, replacing it and then drawing another red.
a)
4/25
b)
2/27
c)
3/43
d)
9/22
58.
Jim picks a diamond out of a deck of cards, replaces it and gets a diamond again. What is the probability this happened. (There are 13 diamonds, and 52 cards in a deck)
a)
1/16
b)
2/13
c)
4/17
d)
1/21
59.
Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors. 
a)
1/12
b)
2/9
c)
3/7
d)
7/19
60.
Mrs. Cole has to choose two pieces of fruit for her lunch.  If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples?  (Mrs. Cole does not put back the first piece of fruit before she takes the second piece of fruit)
P(apple, apple)
a)
1/4
b)
7/30
c)
1/32
d)
1/64