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



Muhammad Imdad Ullah

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.

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23 Responses

  1. bilal ahmed says:

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

    • 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:

    it is good.

  3. ARFA BADAR says:


  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. Great work by Admin

  12. mewal das says:

    how can i find answer of that?

  13. imtiaz malik says:

    nice practice assignments

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