Muhammad Imdad Ullah

The post is about the Probability MCQs Quiz. There are 25 multiple-choice questions covering the topic related to counting rules of probability, random experiments, assigning probability, events and types of events, and rules of probability. Let us start with the Probability MCQs Quiz.

MCQs about probability, sample space,

1. The “Top Three” at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many “Top Three” outcomes are there?

 10

 720

 1814400

 302400

2. A method of assigning probabilities that assumes the experimental outcomes are equally likely is called

 Conditional method

 Objective method

 Classical method

 Subjective method

3. A lottery is conducted using 3 urns. Each urn contains balls numbered from 0 to 9. One ball is randomly selected from each urn. The total number of sample points in the sample space is

 729

 1000

 30

 100

4. Two letters are to be selected at random from five letters (A, B, C, D, and E). How many possible selections are there?

 2

 10

 5

 20

5. Suppose your favorite cricket team has 2 games left to finish the series. The outcome of each game can be won, lost, or tied. The number of possible outcomes is

 2

 None of these

 6

 4

6. The symbol $\cap$ shows the

 Total of the probabilities of the events

 Union of Events

 Intersection of events

 None of these

7. The probability of the intersection of two mutually exclusive events

 Must always be equal to zero

 Must always be equal to one

 Can be any positive value

 Can be any value between zero and one

8. The probability of the union of two events with non-zero probabilities

 None of these

 Cannot be less than one and cannot be one

 Cannot be one

 Cannot be less than one

9. The symbol $\cup$ shows the

 Sample space

 Sum of the probabilities of events

 Intersection of events

 Union of events

10. Three applications for admission to a university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is

 4

 2

 8

 6

11. The addition law helps to compute the probabilities of

 The union of two events

 Conditional events

 The intersection of two events

 Independent events

12. When the results of historical data or experimentation are used to assign probability values, the method used to assign probabilities is referred to as the

 Relative frequency method

 Classical method

 Subjective method

 Posterior method

13. If $A$ and $B$ are mutually exclusive events with $P(A)=0.3$ and $P(B)=0.5$, then $P(A \cap B)=$?

 0

 0.30

 0.20

 0.15

14. Given that event $A$ has a probability of 0.25, the probability of the complement of event $A$

 Can have any value between zero and one

 Is 0.25

 Must be 0.75

 Cannot be determined with the above information

15. Two events are mutually exclusive if

 The probability of their intersection is one

 They have no sample points in common

 The probability of their intersection is one and they have no sample points in common

 The probability of their interaction is 0.5

16. Two events, $A$ and $B$ are mutually exclusive and each has a non-zero probability. If event $A$ is known to occur, the probability of the occurrence of event $B$ is

 Any value between 0 and 1

 Any positive value

 0

 1

17. Events that have no sample points in common are called

 Posterior events

 Mutually exclusive events

 Independent events

 Conditional events

18. The probability assigned to each experimental outcome must be

 Any value larger than zero

 Smaller than zero

 Between zero and one

 One

19. An experiment consists of four outcomes with $P(A) = 0.2, P(B) = 0.3, P(C) = 0.4$. The probability of the outcome $P(D)$ is

 0.1

 0.5

 0.024

 0.9

20. If two events are mutually exclusive, then the probability of their intersection

 Can have any value larger than zero

 Must be larger than zero, but less than 1

 Will be equal to zero

 Will be one

21. When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

 Subjective probability

 Relative frequency method

 Conditional probability

 Classical probability

22. If $P(A) = 0.62, P(B) = 0.47$, and $P(A\cup B) = 0.88$, then $P(A \cap B) =$ ?

 1.970

 0.21

 0.67

 0.2914

23. Each customer entering a departmental store will either buy or not buy a certain product. An experiment consists of the following 3 customers and determining whether or not they will buy any certain product. The number of sample points in this experiment is as follows:

 6

 8

 4

 2

24. If $P(A) = 0.38, P(B) = 0.83$, and $P(A\cap B)=0.57$, then $P(A\cup B) =$ ?

 0.78

 1.21

 1.78

 0.64

25. The union of events $A$ and $B$ is the event containing

 All the sample points belonging to $A$ or $B$ or both

 All the sample points belonging to $A$ or $B$

 All the sample points common to both $A$ and $B$

 All the sample points belonging to $A$ or $B$, but not both

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Online Probability MCQs Quiz

• A lottery is conducted using 3 urns. Each urn contains balls numbered from 0 to 9. One ball is randomly selected from each urn. The total number of sample points in the sample space is
• Three applications for admission to a university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is
• Suppose your favorite cricket team has 2 games left to finish the series. The outcome of each game can be won, lost, or tied. The number of possible outcomes is
• Each customer entering a departmental store will either buy or not buy a certain product. An experiment consists of the following 3 customers and determining whether or not they will buy any certain product. The number of sample points in this experiment is as follows:
• Two letters are to be selected at random from five letters (A, B, C, D, and E). How many possible selections are there?
• The “Top Three” at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many “Top Three” outcomes are there?
• When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the
• A method of assigning probabilities that assumes the experimental outcomes are equally likely is called
• When the results of historical data or experimentation are used to assign probability values, the method used to assign probabilities is referred to as the
• The probability assigned to each experimental outcome must be
• An experiment consists of four outcomes with $P(A) = 0.2, P(B) = 0.3, P(C) = 0.4$. The probability of the outcome $P(D)$ is
• Given that event $A$ has a probability of 0.25, the probability of the complement of event $A$
• The symbol $\cup$ shows the
• The union of events $A$ and $B$ is the event containing
• The probability of the union of two events with non-zero probabilities
• The symbol $\cap$ shows the
• The addition law helps to compute the probabilities of
• If $P(A) = 0.38, P(B) = 0.83$, and $P(A\cap B)=0.57$, then $P(A\cup B) =$ ?
• If $P(A) = 0.62, P(B) = 0.47$, and $P(A\cup B) = 0.88$, then $P(A \cap B) =$ ?
• Two events are mutually exclusive if
• Events that have no sample points in common are called
• The probability of the intersection of two mutually exclusive events
• If two events are mutually exclusive, then the probability of their intersection
• Two events, $A$ and $B$ are mutually exclusive and each has a non-zero probability. If event $A$ is known to occur, the probability of the occurrence of event $B$ is
• If $A$ and $B$ are mutually exclusive events with $P(A)=0.3$ and $P(B)=0.5$, then $P(A \cap B)=$?

R Frequently Asked Questions

Online MCQs Quiz Website: gmstat.com

The post is about the MCQs Probability Test. There are 20 multiple-choice questions covering topics related to the Basics of Probability, addition and multiplication rules of probability, events, and types of events. Let us start with MCQs Probability Quiz with Answers.

Please go to Important MCQs Probability 3 to view the test

MCQs Probability Quiz with Answers

• If $A$ and $B$ are mutually exclusive events with $P(A) = 0.3$ and $P(B) = 0.5$, then $P(A \cup B) =?$
• In an experiment, $A$ and $B$ are mutually exclusive events, if $P(A)=0.6$, then the probability of $B$
• Which of the following statements is(are) always true?
• One of the basic requirements of probability is
• Events $A$ and $B$ are mutually exclusive with $P(A)=0.3$ and $P(B) = 0.2$. The probability of the complement of Event $B$ equals
• The multiplication law is potentially helpful when we are interested in computing the probability of
• If $P(A) =0.80$, $P(B)=0.65$, and $P(A\cup B) = 0.78$, then $P(B|A) =$?
• If two events are independent, then
• If $A$ and $B$ are independent events with $P(A)=0.38$ and $P(B)=0.55$, then $P(A|B)=$?
• If $X$ and $Y$ are mutually exclusive events with $P(X) = 0.295, P(Y) = 0.32$, then $P(X|Y)=$?
• What is the probability that a ball is drawn at random from a jar?
• In statistics, a number between ———- is used to express the probability that an event will occur.
• Two events are ———- if the occurrence of one event changes the probability of the other event.
• What does Bayes’s theorem enable data professionals to calculate?
• What is conditional probability?
• Suppose two events occur: The first event is drawing an ace from a standard deck of playing cards, and the second event is drawing another ace from the same deck. Note that the first ace is not reinserted into the deck after it is drawn. What term is used to describe these two events?
• ———— probability is the updated probability of an event based on new data.
• The probability of rain tomorrow is 40%. What is the probability of the complement of this event?
• Two events are ———– if the occurrence of one event does not change the probability of the other event.
• A jar contains four marbles: Two marbles are red, one is green, and one is blue. One marble is taken from the jar. What is the probability that the marble is blue?

R Frequently Asked Questions

gmstat Online Quiz Website

Online MCQs Probability Quiz with Answers. There are 20 multiple-choice questions covering topics related to the addition rule of probability, multiplication rule of probability, conditional probability, random experiment, and objective and subjective probability. Let us start with the MCQs Probability Quiz.

Please go to Important MCQs Probability Quiz 2 to view the test

MCQs Probability Quiz with Answers

• Which of the following is not a correct statement about a probability
• The collection of one or more outcomes from an experiment is called
• If the occurrence of one event means that another cannot happen, then the events are
• In which approach to probability the outcomes are equally likely to occur?
• In the special rule of addition of probability, the events are always
• The joint probability is
• The special rule of multiplication of probability, the events must be
• A listing of the possible outcomes of an experiment and their corresponding probability is called
• Which of the following is not an example of a discrete probability distribution?
• Which of the following is not a condition of the binomial distribution?
• In a Poisson probability distribution
• If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven?
• If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7?
• If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club(♣)?
• The probability of occurrence of an event lies between
• The tail or head, one or zero, and girl and boy are examples of
• If $P(E)$ is the probability that an event will occur, which of the following must be false?
• The addition rule states that, if the events $A$ and $B$ are ———-, then the probability of $A$ or $B$ happening is the sum of the probabilities of $A$ and $B$.
• Objective probability is based on personal feeling, experience, or judgment.
• The probability of no snow equals 1 minus the probability of snow. This is an example of what rule of probability?

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