Class 11 Mathematics

1. The set of all possible outcomes of a random experiment is called:

• A. Sample Space
• B. Event Space
• C. Outcome Set
• D. Probability Field

2. If a coin is tossed 3 times, the number of elements in the sample space is:

• A. 8
• B. 6
• C. 4
• D. 16

3. An event having only one sample point is called a/an:

• A. Simple Event
• B. Compound Event
• C. Impossible Event
• D. Certain Event

4. Two events A and B are mutually exclusive if:

• A. A ∩ B = ∅
• B. A ∪ B = S
• C. A ∩ B = S
• D. P(A) = P(B)

5. Events A₁, A₂, ..., Aₙ are called exhaustive if:

• A. A₁ ∪ A₂ ∪ ... ∪ Aₙ = S
• B. A₁ ∩ A₂ ∩ ... ∩ Aₙ = ∅
• C. P(A₁) + P(A₂) + ... + P(Aₙ) = 0
• D. A₁ ∩ A₂ = ∅

6. For any event A, the probability P(A) always satisfies:

• A. 0 ≤ P(A) ≤ 1
• B. -1 ≤ P(A) ≤ 1
• C. 0 < P(A) < 1
• D. P(A) ≥ 1

7. The probability of an impossible event is:

• A. 0
• B. 1
• C. 1/2
• D. -1

8. The probability of a certain (sure) event is:

• A. 1
• B. 0
• C. 1/2
• D. Infinity

9. If P(A) is the probability of event A, then P(not A) or P(A') is:

• A. 1 - P(A)
• B. P(A) - 1
• C. 1 / P(A)
• D. P(A)

10. For any two events A and B, P(A ∪ B) is given by:

• A. P(A) + P(B) - P(A ∩ B)
• B. P(A) + P(B) + P(A ∩ B)
• C. P(A) × P(B)
• D. P(A) - P(B)

11. If A and B are mutually exclusive events, then P(A ∪ B) is equal to:

• A. P(A) + P(B)
• B. P(A) × P(B)
• C. P(A) - P(B)
• D. 0

12. A die is thrown once. What is the probability of getting a prime number?

• A. 1/2
• B. 1/3
• C. 2/3
• D. 1/6

13. Two dice are thrown simultaneously. Number of elements in the sample space is:

• A. 36
• B. 12
• C. 24
• D. 6

14. Probability of drawing a king from a well-shuffled deck of 52 cards is:

• A. 1/13
• B. 1/52
• C. 4/13
• D. 1/26

15. If P(A) = 0.4, P(B) = 0.7, and P(A ∩ B) = 0.3, then P(A ∪ B) is:

• A. 0.8
• B. 0.9
• C. 1.1
• D. 0.5

16. If A and B are mutually exclusive events with P(A) = 0.35 and P(B) = 0.45, then P(A ∪ B) is:

• A. 0.80
• B. 0.10
• C. 0.1575
• D. 0.70

17. What is the probability of getting a sum of 8 when two dice are thrown?

• A. 5/36
• B. 1/6
• C. 4/36
• D. 7/36

18. Three coins are tossed. Probability of getting at least two heads is:

• A. 1/2
• B. 3/8
• C. 5/8
• D. 1/4

19. In a single throw of a die, probability of getting a number greater than 4 is:

• A. 1/3
• B. 1/2
• C. 2/3
• D. 1/6

20. Probability of getting 53 Sundays in a non-leap year is:

• A. 1/7
• B. 2/7
• C. 53/365
• D. 0

21. Probability of getting 53 Sundays in a leap year is:

• A. 2/7
• B. 1/7
• C. 53/366
• D. 3/7

22. Event "A but not B" in set notation is represented by:

• A. A ∩ B'
• B. A' ∩ B
• C. A ∪ B'
• D. (A ∪ B)'

23. If P(A) = 0.6 and P(A ∩ B) = 0.2, then P(A ∩ B') is:

• A. 0.4
• B. 0.8
• C. 0.3
• D. 0.12

24. If a card is drawn from a deck of 52 cards, probability that it is a red card or a king is:

• A. 7/13
• B. 1/2
• C. 15/26
• D. 6/13

25. If P(A) = 2/11, probability of event 'not A' is:

• A. 9/11
• B. 2/11
• C. 11/2
• D. 1/11

26. Which of the following CANNOT be the probability of an event?

• A. -1.5
• B. 0.6
• C. 2/3
• D. 15%

27. A box contains 3 red and 5 black balls. One ball is drawn at random. Probability that it is red is:

• A. 3/8
• B. 5/8
• C. 3/5
• D. 1/8

28. Two events A and B are mutually exclusive and exhaustive. If P(A) = 3/5, then P(B) is:

• A. 2/5
• B. 3/5
• C. 1/5
• D. 0

29. In a simultaneous throw of two coins, probability of getting at most one head is:

• A. 3/4
• B. 1/2
• C. 1/4
• D. 2/3

30. If A and B are two events such that P(A ∪ B) = 1, then A and B are:

• A. Exhaustive events
• B. Mutually exclusive events
• C. Independent events
• D. Impossible events