Class 9 Mathematics (NCERT)

1. The numerical measure of uncertainty is called:

• A. Statistics
• B. Probability
• C. Frequency
• D. Variance

2. The probability of an event lies between:

• A. -1 and 1
• B. 0 and 1 (inclusive)
• C. 0 and 100
• D. 1 and 2

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

• A. 0
• B. 0.5
• C. 1
• D. Infinity

4. The probability of an impossible event is:

• A. 0
• B. 1
• C. -1
• D. 0.5

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

• A. ⅓
• B. 1.5
• C. 15%
• D. 0.7

6. If P(E) is the probability of an event E, then P(not E) or P(E') is given by:

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

7. A coin is tossed 100 times and Head obtained is 60 times. The empirical probability of getting a Head is:

• A. ⅗ (0.6)
• B. ⅖ (0.4)
• C. ½ (0.5)
• D. 1

8. A fair die is rolled once. The probability of getting an even number (2, 4, 6) is:

• A. ⅙
• B. ½
• C. ⅓
• D. ⅔

9. In a single roll of a die, what is the probability of getting a number greater than 4?

• A. ½
• B. ⅓
• C. ⅙
• D. ⅔

10. What is the probability of getting a number 7 in a single throw of a standard six-faced die?

• A. 1
• B. 0
• C. ⅙
• D. ⅐

11. If P(E) = 0.37, then P(not E) is equal to:

• A. 0.63
• B. 0.37
• C. 0.73
• D. -0.37

12. A bag contains 5 red balls and 3 blue balls. The probability of drawing a red ball at random is:

• A. ⅜
• B. ⅝
• C. ⅗
• D. ⅖

13. In a cricket match, a batswoman hits a boundary 6 times out of 30 balls played. The probability that she did NOT hit a boundary is:

• A. ⅕ (0.2)
• B. ⅘ (0.8)
• C. ½ (0.5)
• D. ⅙ (0.16)

14. Two coins are tossed simultaneously 500 times. Getting 2 Heads = 105 times. The empirical probability of 2 Heads is:

• A. 0.21
• B. 0.42
• C. 0.50
• D. 0.105

15. Sum of probabilities of all primary/elementary events of an experiment is always:

• A. 0
• B. 0.5
• C. 1
• D. Variable

16. Out of 1000 families with 2 children, 475 families have 2 girls. The probability of a randomly chosen family having 2 girls is:

• A. 0.475
• B. 0.525
• C. 0.250
• D. 0.800

17. A deck of playing cards contains how many total cards?

• A. 48
• B. 52
• C. 54
• D. 36

18. Probability based on actual experiments and observations is called:

• A. Theoretical probability
• B. Empirical (experimental) probability
• C. Subjective probability
• D. Classical probability

19. In a sample of 200 light bulbs, 10 bulbs are found defective. The probability of selecting a non-defective bulb is:

• A. 0.05
• B. 0.95
• C. 0.10
• D. 0.90

20. What is the probability of a leap year having 53 Sundays?

• A. ⅐
• B. ⅔
• C. ⅖
• D. ⅖ (2/7)

21. What is the probability of a non-leap year having 53 Sundays?

• A. ⅐
• B. ⅖
• C. ⅓
• D. 0

22. The probability of choosing a vowel from the English alphabet is:

• A. ⁵/₂₆
• B. ²¹/₂₆
• C. ⅙
• D. ½

23. If an event cannot happen, its probability is 0. Such an event is called an:

• A. Sure event
• B. Elementary event
• C. Impossible event
• D. Independent event

24. Three coins are tossed simultaneously 200 times. 3 Heads appear 23 times. The probability of 3 Heads is:

• A. 0.115
• B. 0.230
• C. 0.100
• D. 0.050

25. A number x is chosen at random from numbers -3, -2, -1, 0, 1, 2, 3. The probability that |x| < 2 is:

• A. ⅗
• B. ⅐
• C. ⅜
• D. ⅗ (3/7)

26. In 50 throws of a die, '4' was obtained 12 times. The empirical probability of getting 4 is:

• A. 0.24
• B. 0.12
• C. 0.50
• D. 0.36

27. Which of the following CANNOT be a probability value?

• A. 0.001
• B. -0.5
• C. ⅗
• D. 85%

28. Probability of an event E + Probability of event 'not E' is equal to:

• A. 0
• B. 1
• C. -1
• D. 2

29. A card is selected from a pack of 52 cards. The probability of getting a red face card is:

• A. ³/₂₆
• B. ⁶/₅₂
• C. Both A and B
• D. ¹/₂₆

30. A box contains 90 discs numbered 1 to 90. A disc is drawn at random. The probability that it bears a 2-digit number is:

• A. ⁸¹/₉₀ (9/10)
• B. ⁹/₉₀ (1/10)
• C. ⁸⁰/₉₀
• D. 1