10th class Mathematics, Chapter 12: Probability MCQs

1. The probability of impossible event is:

1. (A) 0 ✓
2. (B) 1
3. (C) 2
4. (D) −1

2. What is the probability of getting a head when a fair coin is tossed once?

1. (A) 0
2. (B) 0.25
3. (C) 0.5 ✓
4. (D) 1

3. The sum of probabilities of all possible outcomes of an experiment is:

1. (A) 0.5
2. (B) 0.25
3. (C) 1 ✓
4. (D) 0.4

4. If P(A) = 0.6, then the probability of event A not happening is:

1. (A) 0.4 ✓
2. (B) 0.6
3. (C) 1
4. (D) 1.6

5. Two events are said to be mutually exclusive if:

1. (A) they can happen at the same time
2. (B) one affects the other
3. (C) they cannot happen together ✓
4. (D) they are always equal

6. If one coin is tossed and one dice is rolled, then the number of sample points are:

1. (A) 3
2. (B) 6
3. (C) 2
4. (D) 12 ✓

7. What is the probability of sure event?

1. (A) 1 ✓
2. (B) 0
3. (C) 2/3
4. (D) 4/5

8. The probability of getting a number greater than 6 on dice is:

1. (A) 0.33
2. (B) 1
3. (C) 0 ✓
4. (D) 0.5

9. _____ outcomes are possible when we draw a card from a deck of cards.

1. (A) 13
2. (B) 1
3. (C) 52 ✓
4. (D) 26

10. If P(E) = 0.07, then the probability of "not E" is:

1. (A) 0.95
2. (B) 0.89
3. (C) 0.93 ✓
4. (D) 0.90

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

1. (A) event
2. (B) trial
3. (C) sample point
4. (D) sample space ✓

12. Each element of a sample space is called a:

1. (A) subset
2. (B) sample point ✓
3. (C) event space
4. (D) trial

13. An event is a _____ of the sample space.

1. (A) element
2. (B) subset ✓
3. (C) superset
4. (D) complement only

14. Performing an experiment once is called a:

1. (A) outcome
2. (B) sample space
3. (C) trial ✓
4. (D) event

15. Events A and B are mutually exclusive if:

1. (A) A ∩ B = φ ✓
2. (B) A ∪ B = S
3. (C) A = B
4. (D) A ⊂ B

16. Getting an odd number and getting an even number on a dice are:

1. (A) equally likely but not exclusive
2. (B) impossible events
3. (C) mutually exclusive events ✓
4. (D) independent events

17. The complement of the event A is denoted by:

1. (A) Aφ
2. (B) A²
3. (C) A⁻
4. (D) A′ ✓

18. Drawing two cards from a deck without replacement gives:

1. (A) mutually exclusive events
2. (B) impossible events
3. (C) dependent events ✓
4. (D) independent events

19. The number of outcomes when two coins are tossed is:

1. (A) 3
2. (B) 8
3. (C) 4 ✓
4. (D) 2

20. The number of outcomes when two dice are rolled is:

1. (A) 36 ✓
2. (B) 12
3. (C) 18
4. (D) 6