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Free Practice Quiz Question List

03 Probability Online Quiz Questions

Use this free practice quiz with 20 questions to review 03 Probability, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose one
1 point

Which description best defines the complement of an event AA?

  1. A

    The event that both A and B occur

  2. B

    The event that A does not occur

  3. C

    The event that at least one of A and B occurs

  4. D

    The event containing only outcomes in A

02
Choose one
1 point

Let A={2,4,6}A=\{2,4,6\} and B={4,5,6}B=\{4,5,6\}. What is A∩BA\cap B?

  1. A

    {4,6}\{4,6\}

  2. B

    {2,4,5,6}\{2,4,5,6\}

  3. C

    {2,4,6}\{2,4,6\}

  4. D

    {4,5,6}\{4,5,6\}

03
Choose one
1 point

A committee must choose one president and one vice president from 10 people. Which counting method is most appropriate, and why?

  1. A

    A combination, because only two people are selected

  2. B

    A multiplication principle with no distinction between roles

  3. C

    A permutation, because the positions are different

  4. D

    A complement calculation

04
Choose all
1 point

Select all statements that are correct about an event AA and its complement AcA^c.

  1. A

    If P(A)=0.35P(A)=0.35, then P(Ac)=0.65P(A^c)=0.65.

  2. B

    It is possible for P(Ac)P(A^c) to be greater than 1.

  3. C

    The probabilities of an event and its complement add to 1.

  4. D

    The complement contains only outcomes that are also in AA.

05
Choose all
1 point

Select all statements that correctly apply probability counting methods.

  1. A

    Choosing three people for an unordered committee uses a permutation.

  2. B

    Assigning a president and vice president uses a permutation.

  3. C

    Selecting three books where only the set matters uses a permutation.

  4. D

    A password with one letter followed by two digits can use the multiplication principle.

06
True or false
1 point

True or false: If events AA and BB are mutually exclusive, then P(A∪B)=P(A)+P(B)P(A\cup B)=P(A)+P(B).

  1. A

    True

  2. B

    False

07
True or false
1 point

True or false: Any two mutually exclusive events are independent.

  1. A

    True

  2. B

    False

08
Written response
1 point

A package has probability 0.40.4 of arriving late. What is the probability that it does not arrive late?

09
Written response
1 point

A fair six-sided die is rolled. Let AA be the event that the result is 2 or 3, and let BB be the event that the result is even. What is P(A∣B)P(A\mid B)? Enter the exact probability as a fraction.

10
Fill in the blank
1 point

Complete the definitions: The set of all possible results is the , and one possible result is an .

11
Fill in the blank
1 point

Complete the definitions: The of AA and BB means that both occur, while the means that at least one occurs.

12
Open ended
1 point

A condition affects 1%1\% of a population. A test is positive for 95%95\% of people with the condition and for 5%5\% of people without it. What is the probability that a person who tests positive actually has the condition? Show your calculation and explain why this probability is not 95%95\%.

13
Choose one
1 point

Which expression gives the probability of A∪BA\cup B for general events that may overlap?

  1. A

    P(A)+P(B)P(A)+P(B)

  2. B

    P(A)+P(B)−P(A∩B)P(A)+P(B)-P(A\cap B)

  3. C

    P(A)P(B)P(A)P(B)

  4. D

    P(A∣B)P(B)P(A\mid B)P(B)

14
Choose one
1 point

A box is sampled twice without replacement. Which statement best describes the relationship between the two draws?

  1. A

    Draws without replacement are generally dependent.

  2. B

    Draws without replacement are always independent.

  3. C

    Draws with replacement are always mutually exclusive.

  4. D

    Replacement makes the sample space contain only one outcome.

15
Choose one
1 point

A package has probability 0.080.08 of arriving late. What is the probability that it does not arrive late?

  1. A

    0.08

  2. B

    0.08%

  3. C

    0.92

  4. D

    1.08

16
Choose one
1 point

Suppose P(A)=0.40P(A)=0.40, P(B)=0.35P(B)=0.35, and P(A∩B)=0.10P(A\cap B)=0.10. What is P(A∪B)P(A\cup B)?

  1. A

    0.25

  2. B

    0.55

  3. C

    0.75

  4. D

    0.65

17
Choose one
1 point

How many three-person committees can be selected from 10 people when the order of selection does not matter?

  1. A

    120

  2. B

    30

  3. C

    720

  4. D

    90

18
True or false
1 point

True or false: Two events with nonzero probabilities that are mutually exclusive must also be independent.

  1. A

    True

  2. B

    False

19
Written response
1 point

In a population, P(D)=0.01P(D)=0.01, P(+∣D)=0.95P(+\mid D)=0.95, and P(+∣Dc)=0.05P(+\mid D^c)=0.05. What is P(D∣+)P(D\mid +)? Enter the probability as a decimal rounded to three decimal places.

20
Written response
1 point

What probability term names the event that both events AA and BB occur?