Class 10 Mathematics (NCERT)

1. If P(E) is the probability of an event E, then which of the following is true?

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

2. The probability of an impossible event is:

• A. 1
• B. 0
• C. 0.5
• D. -1

3. The probability of a sure or certain event is:

• A. 0
• B. 1
• C. Infinity
• D. 0.5

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

• A. 2 / 3
• B. -1.5
• C. 15%
• D. 0.7

5. If P(E) = 0.05, then the probability of 'not E', P(Ē), is:

• A. 0.95
• B. 0.05
• C. 1.05
• D. 0.90

6. A single die is thrown once. Probability of getting a prime number is:

• A. 1 / 2
• B. 1 / 3
• C. 1 / 6
• D. 2 / 3

7. A card is drawn from a well-shuffled deck of 52 playing cards. The probability of getting a face card is:

• A. 3 / 13
• B. 1 / 13
• C. 4 / 13
• D. 9 / 52

8. The probability of getting a king of red colour from a well-shuffled deck of 52 cards is:

• A. 1 / 26
• B. 1 / 13
• C. 2 / 13
• D. 1 / 52

9. Probability of getting a sum of 12 when two dice are thrown together is:

• A. 1 / 36
• B. 1 / 18
• C. 1 / 6
• D. 5 / 36

10. A bag contains 3 red balls and 5 black balls. A ball is drawn at random. Probability that it is red is:

• A. 3 / 8
• B. 5 / 8
• C. 3 / 5
• D. 1 / 2

11. Probability that a leap year chosen at random contains 53 Sundays is:

• A. 2 / 7
• B. 1 / 7
• C. 53 / 366
• D. 26 / 52

12. Probability that a non-leap year contains 53 Mondays is:

• A. 1 / 7
• B. 2 / 7
• C. 53 / 365
• D. 1 / 365

13. Probability of getting at least one head when two coins are tossed simultaneously is:

• A. 3 / 4
• B. 1 / 4
• C. 1 / 2
• D. 1

14. Sum of probabilities of all elementary events of an experiment is equal to:

• A. 1
• B. 0
• C. 0.5
• D. 100

15. If the probability of winning a game is 0.7, then probability of losing it is:

• A. 0.3
• B. 0.7
• C. 0.4
• D. 0.1

16. A letter is chosen at random from English alphabets. Probability that it is a vowel is:

• A. 5 / 26
• B. 21 / 26
• C. 1 / 26
• D. 5 / 21

17. In a simultaneous throw of two dice, probability of getting a doublet is:

• A. 1 / 6
• B. 1 / 36
• C. 5 / 36
• D. 1 / 12

18. A number is selected from first 20 natural numbers. Probability that it is a prime number is:

• A. 2 / 5
• B. 1 / 2
• C. 9 / 20
• D. 3 / 10

19. A box contains 90 discs numbered 1 to 90. If one disc is drawn, probability of getting a two-digit number is:

• A. 9 / 10
• B. 1 / 10
• C. 8 / 9
• D. 81 / 100

20. When three unbiased coins are tossed, probability of getting at most two heads is:

• A. 7 / 8
• B. 3 / 8
• C. 1 / 2
• D. 1 / 8

21. Probability that a number selected at random from 1 to 30 is a multiple of 5 is:

• A. 1 / 5
• B. 1 / 6
• C. 1 / 3
• D. 2 / 5

22. The probability of getting a number greater than 6 on a ordinary six-faced die is:

• A. 0
• B. 1
• C. 1 / 6
• D. 2 / 3

23. Probability of drawing an Ace from a well-shuffled deck of 52 cards is:

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

24. If two dice are thrown together, probability that sum of numbers is less than 13 is:

• A. 1
• B. 0
• C. 1 / 2
• D. 35 / 36

25. A box contains 5 red, 8 white, and 4 green marbles. Probability that marble drawn is NOT green is:

• A. 13 / 17
• B. 4 / 17
• C. 5 / 17
• D. 8 / 17

26. Probability of getting an odd number in a single throw of a die is:

• A. 1 / 2
• B. 1 / 3
• C. 2 / 3
• D. 1 / 6

27. Two coins are tossed simultaneously. Probability of getting 2 tails is:

• A. 1 / 4
• B. 1 / 2
• C. 3 / 4
• D. 1

28. Total number of outcomes when two dice are rolled together is:

• A. 36
• B. 12
• C. 6
• D. 24

29. If P(A) = 0.35, then P(not A) is equal to:

• A. 0.65
• B. 0.35
• C. 0.55
• D. 0.75

30. Probability of an event can be expressed in percentage as:

• A. Any percentage from 0% to 100%
• B. Any percentage greater than 100%
• C. Less than 0%
• D. Exactly 50% only