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Probability

Total questions: 40

Worksheet time: 2hrs 4mins

Name
Class
Date
1.

What is the sample space when choosing one month out of the year?

a)

Jan., Feb., Mar., April, May, June, July, Aug, Sept, Oct., Nov., Dec.

b)

Jan., Mar., April, May, June, July, Sept, Oct., Nov., Dec.

c)

12 months

d)

52 weeks

2.
What is the probability of landing on the color blue on the spinner?
a)
3/3
b)

1/12

c)
3/12 or 1/4
d)

3/9 or 1/3

3.

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/10

d)

1/9

4.

What is the probability of spinning an even number?

a)

certain

b)

impossible

c)

equally likely

d)

less likely

5.

In a classroom of 28 students, 12 students are girls. If a student is selected randomly, what is the probability that the student is a boy?

a)

57\frac{5}{7}

b)

47\frac{4}{7}

c)

37\frac{3}{7}

d)

27\frac{2}{7}

6.

Pedro is conducting an experiment. He is flipping a fair coin and recording how many times it lands on heads and how many times it lands on tails.

Which statement regarding the experimental and theoretical probability is true?

a)

The experimental probability should get closer to the theoretical probability as Pedro conducts more experiments.

b)

The experimental probability should get further from the theoretical probability as Pedro conducts more experiments.

c)

The experimental probability should stay the same distance from the theoretical probability as Pedro conducts more experiments.

d)

The number of experiments Pedro conducts will not affect the experimental probability.

7.

What is the probability that the arrow will land on a section labeled with a number less than 4?

a)

38\frac{3}{8}

b)

12\frac{1}{2}

c)

58\frac{5}{8}

d)

34\frac{3}{4}

8.

If a student spins the spinner and flips a fair coin at the same time, what is the probability that the spinner lands on red, and the coin lands on tails?

a)

16\frac{1}{6}

b)

13\frac{1}{3}

c)

23\frac{2}{3}

d)

56\frac{5}{6}

9.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
10.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
11.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

12.

What is the probability of drawing a blue color and a number 4?

a)

2/5

b)

1/6

c)

3/15

d)

1/15

13.

What is the probability of flipping the coin and getting heads up, then getting a T from the group of letters.

a)

1/2

b)

1/6

c)

2/6

d)

3/12

14.
There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin.  What is the probability that the coin is a nickle both times?
a)
36/169
b)
6/13
c)
5/16
d)
3/19
15.
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. What is the probability that both pieces of fruit are apples.
a)
2/15
b)
3/17
c)
1/19
d)
6/21
16.
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?
a)
7/26
b)
1/2
c)
2/17
d)
8/29
17.
A regular deck contains 52 cards, 2 of which are red eights. Assuming the cards are dealt randomly, which is the probability that the first card dealt will be a red eight?
a)
1/26
b)
1/13
c)
1/52
d)
2/13
18.
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
19.
Which of the following scenarios does not have 144 different combinations?
a)
A travel agency has 4 different vacation destinations, 3 different flights, and 12 hotel options.
b)
You have 8 shirts, 6 pairs of pants, and 3 pairs of pants.
c)
A restaurant has 12 main dishes, 6 side dishes, and 2 dessert options.
d)
An instrument shop has 80 brass instruments, 39 woodwind instruments, and 25 percussion instruments.
20.
A bag of candy contains 2 packs of Skittles, 4 Twizzlers, and 10 Reese's cups. What is the probability of reaching into the bag and choosing either a pack of Skittles or a Reese cup?
a)
3/4
b)
1/4
c)
3/8
d)
1/8
21.
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.
22.
Ben has a basket of 5 red balls, 3 yellow balls, and 2 green balls. What is the probability that the probability he randomly chooses will be red?
a)
1/2
b)
1/5
c)
1/10
d)
5/8
23.
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
24.
A spinner is spun and the results are shown in the chart. 
Which of the following statements is true about the probability of spinning a blue?
a)
The experimental probability and theoretical probability are equal.
b)
The experimental probability is less than the theoretical probability.
c)
The experimental probability is greater than the theoretical probability.
d)
The experimental probability cannot be determined from the data.
25.

What is the probability of the spinner landing on green?

a)

1/10

b)

4/10

c)

2/10

d)

0/10

26.

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

27.
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
28.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
29.
Rolling a 15 on a number cube is 
a)
Impossible
b)
Certain
c)
Unlikely
d)
Equally Likely
30.
What is the probability of rolling a cube and having it land as a six?
a)
1/6
b)
5/6
c)
1/3
d)
1/2
31.

Jason rolls a die 14 times.What is the Experimental probability that he will roll a 2?

a)

2/6

b)

3/6

c)

3/14

d)

2/14

32.

Shannon has a bag of jelly beans.

5 Green

2 Red

3 Blue

What is the theoretical probability of her selecting a red jelly bean?

a)

11/33

b)

2/10

c)

1/5

d)

23/30

33.
What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?
a)
5/6
b)
1/36
c)
1/3
d)
1/6
34.

If the probability of drawing a short straw is 3/10 and there are 100 straws in all, how many short straws must there be?

a)

3

b)

10

c)

13

d)

30

35.

The probability of a car having a defect when coming off the assembly line is 3/1000 . Last year 12 cars had defects. How many cars were manufactured in total last year?

a)

1000

b)

2000

c)

3000

d)

4000

36.
A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. Mrs. Grow picks one marble, replaces it, then picks another. What is the probability of them both being blue?
P(blue and blue) 
a)
1/25
b)
1/5
c)
1/20
d)
2/5
37.
Determine if the following events are dependent or independent.
Anna draws a card from a bag, does not replace it and draws a second time..
a)
Independent
b)
Dependent
38.

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

a)

The probability is 3/11

b)

The probability is 1/11

c)

The probability is 3/132

d)

The probability is 3/12

39.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
40.

Describe the probability of hitting the Bankrupt when spinning the wheel?

a)

Impossible

b)

Unlikely

c)

Equally Likely

d)

Likely

e)

Certain

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