Admission Open New Batches for Classes 9–12, IIT & NEET
CLASS XI MATHEMATICS PRACTICE TEST

Chapter 14: Probability

One-Hour Practice Test

Subject
Mathematics
Time
1 Hour
Maximum Marks
25

Practice Test

Answer all questions. Show necessary steps wherever required.

Section A

6 × 1 = 6 Marks

1. State the probability of a sure event. (1 Mark)

2. State the probability of an impossible event. (1 Mark)

3. Find the probability of getting a head when a fair coin is tossed once. (1 Mark)

4. Find the probability of getting an even number when a fair die is thrown once. (1 Mark)

5. State the range of probability of an event A. (1 Mark)

6. If P(A) = 0.3, find P(A'). (1 Mark)

Section B

3 × 2 = 6 Marks

7. Find the probability of drawing a king from a standard deck of 52 playing cards. (2 Marks)

8. A fair die is thrown once. Find the probability of getting a number greater than 4. (2 Marks)

9. If P(A) = 0.6, P(B) = 0.5 and P(A ∩ B) = 0.2, find P(A ∪ B). (2 Marks)

Section C

3 × 3 = 9 Marks

10. Two fair coins are tossed simultaneously. Find the probability of getting exactly one head. (3 Marks)

11. If events A and B are mutually exclusive, P(A) = 0.35 and P(B) = 0.25, find P(A ∪ B). (3 Marks)

12. A bag contains 5 red, 3 blue and 2 green balls. One ball is selected at random. Find the probability that the selected ball is not blue. (3 Marks)

Section D

1 × 4 = 4 Marks

13. Two fair dice are thrown simultaneously. Find the probability that the sum is either 8 or at least 10. (4 Marks)

Total Marks
25