# MCQs Probability-1

This Quiz contains Multiple Choice Questions about Probability and probability distribution, event, experiment, mutually exclusive events, collectively exhaustive events, sure event, impossible events, addition and multiplication laws of probability, discrete probability distribution and continuous probability distributions, etc. Let us start MCQs Probability with Answers:

1. The probability of an intersection of two events is computed by using the

2. An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

3. If $A$ and $B$ are independent events with $P(A)=0.4$ and $P(B)=0.25$, then $P(A \cup B)=$?

4. If $P(A|B)=0.3$

5. In a statistical experiment, each time the experiment is repeated

6. A six-sided die is tossed three times. The probability of observing three ones in a row is

7. The sample space (experimental outcomes) refers to

8. If two events $A$ and $B$ are mutually exclusive events, then

9. If events $A$ and $B$ are independent events with $P(A)=0.1$ and $P(B)=0.4$, then

10. The range of probability is

11. If $A$ and $B$ are independent events with $P(A)=0.6$ and $P(B)=0.6$, then $P(A \cap B)=$?

12. The Complement of $P(A|B)$ is

13. One a December day, the probability of snow is 0.30. The probability of a “cold” day is 0.50. The probability of snow and a “cold” is 0.15. Do snow and “cold” weather are independent events?

14. If events $A$ and $B$ are independent events with $P(A)=0.05$ and $P(B)=0.65$, then $P(A|B)=$?

15. Events $A$ and $B$ are mutually exclusive. Which of the following statements is true?

16. If $P(A)=0.5$ and $P(B)=0.5$, then $P(A \cap B)$ is

17. If events $A$ and $B$ are independent events with $P(A)=0.2$ and $P(B)=0.6$, then $P(A \cup B)=$?

18. The set of all possible outcomes (sample points) is called

19. If $P(A)=0.6$, $P(B)=0.3$, and $P(A \cap B)=0.2$, then $P(B|A)=$?

20. If $P(A|B)=0.3$ and $P(B)=0.8$, then Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

### 23 Responses

1. bilal ahmed says:

If X is a random variable, then Var(2 – 3X) is
plz explain.

• Muhammad Imdad Ullah says:

Please always refer to the question you are asking about. It becomes very difficult to trace the actual question (from MCQs tests) to identify and answer it properly.
The question you are asking about is very simple. Just use the addition, subtraction and multiplication property of the variance.
$Var(2) + 3^2 Var(X)=0+9Var(X)=9Var(X)$

2. Hailay says:

Thanks
it is good.

3. ARFA BADAR says:

• Muhammad Imdad Ullah says:

Please provide the Question statement and test number for correction if there is any.

4. Aim akbar says:

So interesting

5. arshad says:

good effort

6. SHAIBAL KUMAR SEN . says:

Excellent input provided to strengthen the concepts. Thanks a lot

7. Umar Ishtiaq says:

very nice

8. Anwar Kamal says:

Great MCQS of Statistic for NTS Test, PPSC

9. aqsa says:

sir q#19 mai b problem hai…. check it out too…..agar symetric ka concern p se hai to explanation mai n q dia hua hai ?? plz clear it

• Muhammad Imdad Ullah says:

can you send the statement of question, it will be easy for me to find. In test all questions and even there answers are randomly displayed.

10. aqsa says:

sir q#7 ka ans galat hai….sawal mai to deck of cards hai or ans mai pair of dice….check it plz

• Muhammad Imdad Ullah says:

correction is made. Please whenever anyone found error do contact with test number and initial statement, so that I can easily search and correct the problem.

11. Muhammad Ameeq says:

12. mewal das says:

how can i find answer of that?

• Muhammad Imdad Ullah says:

To have answer of each MCQs, click the start button to start with MCQ test. Click the option which you consider most appropriate to questions. If your choice is correct you will see the right sign on option otherwise a cross.
Thanks for visiting the site.

• waqar says:

Sir can you solve this question
(If Y=5X + 10 and X is N(10,25), then mean of Y is, Ans is 60)
i cant understand kindly prove it

• Muhammad Imdad Ullah says:

N(10, 25) indicate the X point. put it in equation Y=5*10 + 10 results in 60.

• Akbar Khan says:

The mean of normal distribution is 10 so Y= 5x +10
E(y) = 5E(x) +10
E (y) =5(10) + 10
= 50 + 10
= 60

• Kone says:

How do I download in pdf of all the mcq given. Thank you

• Muhammad Imdad Ullah says:

13. imtiaz malik says: