# MCQs Probability – 1

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

1. If $P(A|B)=0.3$ and $P(B)=0.8$, then

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

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

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

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

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

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

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

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

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

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

12. The sample space (experimental outcomes) refers to

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

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

15. On 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?

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

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

18. The range of probability is

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

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

### MCQs Probability

• The Complement of $P(A|B)$ is
• The probability of an intersection of two events is computed by using the
• If two events $A$ and $B$ are mutually exclusive events, then
• The range of probability is
• In a statistical experiment, each time the experiment is repeated
• The set of all possible outcomes (sample points) is called
• The sample space (experimental outcomes) refers to
• An experiment that consists of tossing 4 coins successively. The number of sample points in this experiment is
• On 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?
• If $P(A)=0.5$ and $P(B)=0.5$, then $P(A \cap B)$ is
• If $A$ and $B$ are independent events with $P(A)=0.6$ and $P(B)=0.6$, then $P(A \cap B)=$?
• If events $A$ and $B$ are independent events with $P(A)=0.2$ and $P(B)=0.6$, then $P(A \cup B)=$?
• If $A$ and $B$ are independent events with $P(A)=0.4$ and $P(B)=0.25$, then $P(A \cup B)=$?
• Events $A$ and $B$ are mutually exclusive. Which of the following statements is true?
• If events $A$ and $B$ are independent events with $P(A)=0.05$ and $P(B)=0.65$, then $P(A|B)=$?
• A six-sided die is tossed three times. The probability of observing three ones in a row is
• If $P(A|B)=0.3$
• If events $A$ and $B$ are independent events with $P(A)=0.1$ and $P(B)=0.4$, then
• If $P(A|B)=0.3$ and $P(B)=0.8$, then
• If $P(A)=0.6$, $P(B)=0.3$, and $P(A \cap B)=0.2$, then $P(B|A)=$?

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### 23 thoughts on “MCQs Probability – 1”

1. 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.
$Var(2) + 3^2 Var(X)=0+9Var(X)=9Var(X)$

1. SHAIBAL KUMAR SEN .

Excellent input provided to strengthen the concepts. Thanks a lot

2. 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

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.

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

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.

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.
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1. 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

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

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