Best Probability MCQs Quiz 4

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. 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

 4

 6

 None of these

 2

2. 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?

 302400

 720

 1814400

 10

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

 1.78

 0.64

 1.21

 0.78

4. 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

 Posterior method

 Classical method

 Subjective method

5. 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

6. 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

 0.024

 0.5

 0.1

 0.9

7. The symbol $\cup$ shows the

 Intersection of events

 Sum of the probabilities of events

 Union of events

 Sample space

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. 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

 100

 729

 1000

 30

10. The addition law helps to compute the probabilities of

 The intersection of two events

 Conditional events

 Independent events

 The union of two events

11. Two events are mutually exclusive if

 The probability of their interaction is 0.5

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

 The probability of their intersection is one

 They have no sample points in common

12. The symbol $\cap$ shows the

 Union of Events

 Intersection of events

 Total of the probabilities of the events

 None of these

13. 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

14. 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

 1

 0

 Any value between 0 and 1

 Any positive value

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

 5

 2

 20

 10

16. 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

17. 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

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

 Will be equal to zero

 Will be one

 Must be larger than zero, but less than 1

 Can have any value larger than zero

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

 Conditional events

 Independent events

 Mutually exclusive events

 Posterior events

20. 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

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

 Conditional probability

 Classical probability

 Subjective probability

 Relative frequency method

22. The probability assigned to each experimental outcome must be

 One

 Smaller than zero

 Between zero and one

 Any value larger than zero

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

 Classical method

 Conditional method

 Objective method

 Subjective method

24. 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

 8

 4

 2

 6

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

 0.67

 0.2914

 1.970

 0.21

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Online Probability MCQs Quiz

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• 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 $P(A \cap B)=$?

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