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YEAR9 5.1/5.2 - Probability

Total questions: 45

Worksheet time: 1hrs 2mins

Name
Class
Date
1.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
2.
What is the probability of flipping a coin and getting heads?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
3.
Which of the following describes theoretical probability?
a)
Perform a situation and count the number of possibilities
b)
Use trials to count the number of desired outcomes
c)
Perform an experiment to determine the probability of an event
d)
Use a formula to determine the expected probability of an event
4.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
5.

How many outcomes are in the sample space for tossing one coin?

a)

1

b)

2

c)

4

d)

8

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.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

8.

If 33% of the students at Warren Middle School have a pet, then what is the probability of the students who do not have a pet?

a)

33%

b)

77%

c)

67%

d)

50%

9.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
10.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
11.

Jillian rolled a dice 360 times. About how many times do you expect her to roll a 2?

a)

20

b)

180

c)

60

d)

120

12.

If you flip the coin 100 times, approximately how many times could you expect to land on tails?

a)

50 times

b)

100 times

c)

200 times

d)

75 times

13.

A die is rolled once. What is the probability of rolling an odd number? Your answer should be a fraction in simplest form.

a)

1/6

b)

1/2

c)

3/6

d)

2/5

14.

The chart below represents the number of marbles in a jar.

P(green) =

(Answer in simplest form)

a)

5/19

b)

10/28

c)

5/14

d)

10/38

15.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

16.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

17.

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)

7/11

b)

4/11

c)

2/11

d)

5/26

18.

If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?

a)

50

b)

100

c)

150

d)

75

19.
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
20.
Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?
a)
Yellow
b)
Red
c)
Blue
d)
Green
21.
What is the probability that a student plays an instrument?
a)
.55
b)
.5
c)
.45
d)
.4
22.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
23.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
24.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
25.

How many outfits are possible with 2 pairs of jeans, 5 t-shirts, and 2 pairs of shoes? (Hint: Use a list or tree diagram)

a)

9

b)

40

c)

20

d)

10

26.
Probability can be written as a 
a)
fraction
b)
decimal
c)
percent
d)
all of the above
27.

A die is rolled. What is the probability that the result is less than 3 ?

a)

1/2

b)

1/3

c)

1/4

d)

1/6

28.
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
29.

The list shows all possible outcomes for which experiment?


S = { (heads, heads), (heads, tails),

(tails, tails), (tails, heads) }

a)

Flipping a coin one time

b)

Flipping a coin two times

c)

Flipping a coin three times

d)

Flipping a coin four times

30.

You spin the spinner and roll a die. How many outcomes are possible?

a)

35

b)

25

c)

18

d)

30

31.

What is the probability of picking a shirt and pant combo with Jeans?

a)

3/6

b)

1/6

c)

3

d)

2/6

32.
A fair number cube is rolled 60 times. The results of the experiment are shown. For which side of the number cube were the experimental and theoretical probability the closest?
a)
2
b)
5
c)
4
d)
3
33.
A spinner has 5 sections of equal size labeled P, Q, R, S, and T. The arrow of this spinner is spun 15 times and landed 4 times on the section labeled Q.
Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled Q? 
a)
The experimental probability is 4/15, and the theoretical probability is 1/5.
b)
The experimental probability is 1/5, and the theoretical probability is 1/5.
c)
The experimental probability is 4/15, and the theoretical probability is 4/15.
d)
The experimental probability is 1/5, and the theoretical probability is 4/15.
34.
Look at the dartboard. 
A boy is playing darts with his friends. What is the probability that his dart will land in an unshaded square?
a)
12/25
b)
13/25
c)
10/25
d)
11/25
35.

Several students conducted a simulation where a standard coin was tossed several times and the results were recorded in the table. Which table shows an experimental probability of landing on tails that is closest to the theoretical probability of landing on tails?

a)

A

b)

B

c)

C

d)

D

36.

Rolling a 6 or an odd number are Mutually exclusive events. (True or False)

a)

True

b)

False

37.

When would you expect the experimental probability of an event to get closer to equaling the theoretical probability of the event?

a)

When there are exactly 50 trials in the experiment.

b)

The fewer the number of trials in the experiment.

c)

The larger the number of trials in the experiment.

d)

This can't be determined.

38.
At a particular school with 200 male students, 58 play football, 40 play basketball, and 8 play both.  What is the probability that a randomly selected male student plays neither sport?
a)
49/100
b)
29/100
c)
51/100
d)
9/20
39.

The middle school offers art, band, and choir. 30 students are in choir. 30 are in band. 25 are in art. 12 students take choir and art. 4 students take band and choir.


What number belongs in the shaded area?

a)

18

b)

12

c)

30

d)

14

40.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
41.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?
a)
3/12
b)
1/2
c)
4/12
d)
0/12
42.
How many total people were surveyed about what ice cream flavor they would pick?
a)
107
b)
92
c)
70
d)
269
43.
What is the relative frequency of people that purchased no food?
a)
10%
b)
60%
c)
15%
d)
30%
44.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?
a)
2/12
b)
3/12
c)
4/12
d)
5/12
45.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104