Important Probability Online MCQs Test 6

This Quiz contains Probability Online MCQs Test, events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, etc. Let us start the Probability Online MCQs Test with the Answers:

Online MCQs Exam for the Post of PPSC Statistics Lecturer and Statistical Officer

1. How would you describe $P(A \cap B)$ in words for two sets $A$ and $B$?

 Probability of $A$ but not $B$

 Probability of $A$ and $B$

 Probability of $A$ given $B$

 Probability of $A$ or $B$

2. In the context of probability, what is an outcome?

 An uncertain situation

 A type of probability

 The result of a single trial

 A measure of how likely an event is

3. A fair coin is tossed 50 times, and the expected number of heads is:

 15

 50

 100

 None of these

4. The subset of a sample space is called

 Probability

 Event

 None of these

 Trial

5. A conditional probability might be found in which of the following ways?

 Dividing a joint probability by the given event’s probability.

 Finding the run frequency of times that the event in question occurs out of all those times when the given event occurs.

 Multiplying together two conditional probabilities.

 Applying the basic concepts of probability to the portion of the event space for which the condition holds.

6. What is a random variable?

 A random variable is a random number.

 A random variable is a random point of a probability space.

 A random variable is a mapping of a probability space to a set of real values.

 A random variable is a number taken from Python’s random library.

7. What is a continuous random variable?

 Variable with real values

 Variable with uncountable values

 Random variable with a set of possible values that is infinite and uncountable

 Variable with imaginary values

8. What word describes two events that cannot occur at the same time?

 Unequal

 Independent

 Irrelevant

 Disjoint

9. In the context of probability, what is a sample space?

 The collection of all possible experiments

 A single event

 The collection of all possible outcomes

 A collection of some events

10. What shows the exact probabilities for a particular value of a random variable?

 Probability outcome function able

 Probability event function

 Probability grass function

 Probability mass function

11. What is a probability?

 The result of a single trial

 A measure of how likely an event is

 An uncertain situation

 One or more outcome from an experiment

12. What is conditional probability?

 The probability that two events occur at the same time

 The probability of one event given that another has occurred

 The probability that an event occured

 The expected value

13. $A$ and $B$ are two mutually exclusive events. The probability of $A$ happening is $\frac{1}{4}$. The probability of $BB$ happening is $\frac{1}{3}$. The probability of neither $A$ nor $B$ happening is?

 $\frac{11}{12}$

 $\frac{3}{4}$

 $\frac{5}{12}$

 $\frac{1}{2}$

14. $P(A\cap B() = P(A) P(B|A)$, then $A$ and $B$ are

 Dependent

 Mutually exclusive

 Independent

 Equally likely

15. If $A$ and $B$ are dependent events, $P(A)=0.40$ and $P(B|A)=0.35$ then $P(A \cap B)$ is

 0.24

 0.30

 0.14

 0.88

16. How would you calculate the probability that a random variable is less than 5?

 Sum up all of the probabilities for values less than 5

 Subtract all of the probabilities for values less than 5

 Sum up all of the probabilities for values equal to 5

 Sum up all of the probabilities for values greater than 5

17. How would you describe $P(A|B)$ in words for two sets $A$ and $B$?

 Probability of $A$ given $B$

 Probability of $A$ or $B$

 Probability of $A$ but not $B$

 Probability of $A$ and $B$

18. What is the expected value?

 How likely an event is

 The probability of all possible values

 The probability weighted average of all possible values

 The average of all possible values

19. The probability of an event happening is $\frac{1}{3}$. The probability of it not happening is?

 $-\frac{2}{3}$

 $0$

 $1$

 $\frac{2}{3}$

20. Events having an equal chance of occurrence are called

 Independent events

 Equally likely events

 Exhaustive events

 Mutually exclusive events

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Probability Online MCQs Test

• In the context of probability, what is an outcome?
• What is a probability?
• How would you calculate the probability that a random variable is less than 5?
• In the context of probability, what is a sample space?
• What word describes two events that cannot occur at the same time?
• What is the expected value?
• What is conditional probability?
• What is a continuous random variable?
• What shows the exact probabilities for a particular value of a random variable?
• How would you describe $P(A \cap B)$ in words for two sets $A$ and $B$?
• How would you describe $P(A|B)$ in words for two sets $A$ and $B$?
• What is a random variable?
• $A$ and $B$ are two mutually exclusive events. The probability of $A$ happening is $\frac{1}{4}$. The probability of $BB$ happening is $\frac{1}{3}$. The probability of neither $A$ nor $B$ happening is?
• The probability of an event happening is $\frac{1}{3}$. The probability of it not happening is?
• A conditional probability might be found in which of the following ways?
• A fair coin is tossed 50 times, and the expected number of heads is:
• If $A$ and $B$ are dependent events, $P(A)=0.40$ and $P(B|A)=0.35$ then $P(A \cap B)$ is
• $P(A\cap B() = P(A) P(B|A)$, then $A$ and $B$ are
• The subset of a sample space is called
• Events having an equal chance of occurrence are called

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