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4.1 Sample Spaces and Probability (Elementary Statistics 8e)

Total questions: 18

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

What is the set of all possible outcomes of a probability experiment?

a)

an outcome

b)

the sample space

c)

events

d)

a Venn diagram

2.

How many possible outcomes would there be if three coins were tossed once?

a)

2

b)

4

c)

6

d)

8

3.

What type of probability uses a knowledge of sample spaces as opposed to experiments to determine the numerical probability that an event will occur?

a)

classical probability

b)

empirical probability

c)

conditional probability

d)

subjective probability

4.

If a sportscaster makes an educated guess as to how well a team will do this season, he is using what type of probability?

a)

classical probability

b)

empirical probability

c)

conditional probability

d)

subjective probability

5.

A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, that would be an example of subjective probability.

a)

true

b)

false

6.

If the probability that it will rain tomorrow is 0.37, what is the probability that it will not rain tomorrow?

a)

0.37

b)

-0.37

c)

0.63

d)

1.37

7.

The statement, "The probability that a Clemson will lose it's next game is about 60%," is an example of

a)

classical probability

b)

empirical probability

c)

conditional probability

d)

subjective probability

8.

The probability of winning at a Chuck-a-Luck game is 5/36. This statement is an example of which type of probability.

a)

classical probability

b)

empirical probability

c)

conditional probability

d)

subjective probability

9.

The probability that a long haul truck will be in an accident on a specific run is about 7%. This statement is an example of which type of probability.

a)

classical probability

b)

empirical probability

c)

conditional probability

d)

subjective probability

10.

Tree diagrams are useful for

a)

illustrating the law of large numbers.

b)

finding all possible outcomes in a probability experiment involving several steps

c)

showing that the outcome is the set of all possible sample spaces

d)

ordering outcomes from lowest to highest

11.

Find the probability of getting a number greater than 4 when a die is rolled one time

a)

1/2

b)

2/3

c)

1/6

d)

1/3

12.

If two dice are rolled one time, find the probability of getting a sum of 6

a)

1/6

b)

7/36

c)

5/36

d)

1/3

13.

If two dice are rolled one time, find the probability of getting a sum less than 5

a)

1/6

b)

7/36

c)

5/36

d)

1/3

14.

If a red card is drawn from an ordinary deck of cards, what is the probability that the card is a heart?

a)

1/3

b)

1/4

c)

1/5

d)

1/2

15.

A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 15 possible results for the second step. How many possible outcomes are there for this experiment?

a)

60

b)

9

c)

15

d)

19

16.

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be 2/3.

a)

true

b)

false

17.

In a recent study, the following responses were obtained to the question, “Do you favor recycling in your neighborhood?” If a response is picked at random, what is the probability that it came from a male or that it indicated no opinion regarding recycling?

a)

3/5

b)

3/10

c)

4/5

d)

7/10

18.

At Wassamatta University, 55.7% of the student body are males. Choose one student at random. What is the probability that the student is female?

a)

5.7%

b)

44.3%

c)

50%

d)

55.7%