Discrete Mathematics MCQs - 1 | 200+ MCQ Questions with Answers
Counting and Probability
Q 1. If A and A ̅ are complementary events, then P(A ̅ ) = ……….
- 1+P(A)
- 1-P(A)
- P(A)
- – P(A)
Ans: 1-P(A)
Q 2. If A and B are independent events then, conditional probability P(A/B) = ……….
- P(A)-P(B)
- P(A)
- P(B)
- P(A)+P(B)
Ans: P(A)
Q 3. If A and B are independent events then, P(A∩B) = ……….
- P(A)
- P(B)
- P(A) + P(B)
- P(A) × P(B)
Ans: P(A) × P(B)
Q 4. Probability can be ……….
- Greater than or equal to 10
- Greater than 1
- Less than 0
- Between 0 and 1
Ans: Between 0 and 1
Q 5. When two dice are tossed, probability of getting six as uppermost face on both the dice is
- ½
- 1/6
- 1/36
- 1/3
Ans: 1/36
Q 6. Which one of the following can be probability ratio ?
- 3/2
- 17/11
- 2/3
- -1/2
Ans: 2/3
Q 7. If from a pack of 52 well shuffled cards a card is drawn, the chances of getting a queen is ……….
- ¼
- 1/52
- 1/3
- 1/13
Ans: 1/13
Q 8. A box contains 2 red marble balls, 3 white marble balls, 5 green marble balls. If 2 balls are drawn at random, the chances of getting both white is ……….
- 2/3
- 3/10
- 2/10
- 3/45
Ans: 3/45
Q 9. All possible outcomes of a statistical experiments are called ……….
- Cyber space
- Sample space
- Space
- Experiment
Ans: Sample space
Q 10. An occurrence of an outcome to any statistical experiment is called ……….
- Sample space
- Experiment
- Event
- Probability
Ans: Event
Q 11. A statistical experiment means ……….
- Action which has reaction
- Action which has a certain outcome
- Action which has no outcome
- Action which has uncertain outcome
Ans: Action which has a certain outcome
Q 12. Two events are said to be mutually exclusive when ……….
- Both of them occur together
- None of them occur
- Occurrence is uncertain
- Only one them occurs
Ans: Only one them occurs
Q 13. For a statistical experiment every possible outcome is called ……….
- Sample
- Sample point
- Space
- Population
Ans: Sample point
Q 14. Two events are said to be exhaustive when ……….
- Both of them occur together
- Occurrence of one avoids occurrence of other
- Occurrence or non-occurrence of one affect occurrence of other event
- Taken together constitute sample space
Ans: Taken together constitute sample space
Q 15. Two events are said to be independent if ……….
- Occurrence of one prevents occurrence of other
- Occurrence or non-occurrence of one does not affect occurrence of other
- Both of them always occurs together
- Only one of them can occur at a time
Ans: Occurrence or non-occurrence of one does not affect occurrence of other
Q 16. Complementary events are ……….
- Not mutually exclusive
- Independent
- Exhaustive
- Impossible event
Ans: Exhaustive
Q 17. Complementary events are ……….
- Mutually exclusive
- Independent
- Exhaustive
- Impossible event
Ans: Mutually exclusive
Q 18. If P(A) denotes probability of event A then ……….
- 0 ≥ P(A) ≥ 1 is true
- 1 ≤ P(A) ≤ 0 is true
- -1 ≤ P(A) ≤ 0 is true
- 0 ≤ P(A) ≤ 1 is true
Ans: 0 ≤ P(A) ≤ 1 is true
Q 19. An unbiased coin is tossed twice, if A denotes the event all tails then P(A) ……….
- ¼
- ½
- ¾
- 1
Ans: ¼
Q 20. If A and B are any two events associated with an experiment, then probability of occurrence of events A or B or both A and B is given by ……….
- Complementary probability theorem
- Multiplication theorem of probability
- Addition theorem of probability
- Joint probability theorem
Ans: Addition theorem of probability
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