## Chapter 15: Probability

**1. The probability of event equal to zero is called;**

(a) Unsure event

(b) Sure Event

(c) Impossible event

(d) Independent event

Answer: **(c) Impossible event**

**2. The probability that cannot exist among the following:**

(a) ⅔

(b) -1.5

(c) 15%

(d) 0.7

Answer: **(b) -1.5**

**3. If P(E) = 0.07, then what is the probability of ‘not E’?**

(a) 0.93

(b) 0.95

(c) 0.89

(d) 0.90

Answer: **(a) 0.93**

**4. A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then what is the probability of getting red balls only?**

(a) 3

(b) 8

(c) ⅜

(d) 8/3

Answer: **(c) ⅜**

**5. A bag has 5 white marbles, 8 red marbles and 4 purple marbles. If we take a marble randomly, then what is the probability of not getting purple marble?**

(a) 0.5

(b) 0.66

(c) 0.08

(d) 0.77

Answer: **(d) 0.77**

**6. A dice is thrown in the air. The probability of getting odd numbers is**

(a) ½

(b) 3/2

(c) 3

(d) 4

Answer:** (a) ½**

**7. If we throw two coins in the air, then the probability of getting both tails will be:**

(a) ½

(b) ¼

(c) 2

(d) 4

Answer: **(b) ¼**

**8. If two dice are thrown in the air, the probability of getting sum as 3 will be**

(a) 2/18

(b) 3/18

(c) 1/18

(d) 1/36

Answer: **(c) 1/18**

**9. A card is drawn from the set of 52 cards. Find the probability of getting a queen card.**

(a) 1/26

(b) 1/13

(c) 4/53

(d) 4/13

Answer: **(b) 1/13**

**10. A fish tank has 5 male fish and 8 female fish. The probability of fish taken out is a male fish:**

(a) 5/8

(b) 5/13

(c) 13/5

(d) 5

Answer: **(b) 5/13**

**11. The sum of the probabilities of all the elementary events of an experiment is**

(a) 0.5

(b) 1

(c) 2

(d) 1.5

Answer: **(b) 1**

**12. A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being a face card is**

(a) 3/13

(b) 4/13

(c) 6/13

(d) 9/13

Answer: **(a) 3/13**

**13. If an event cannot occur, then its probability is**

(a) 1

(b) 3/4

(c) 1/2

(d) 0

Answer: **(d) 0**

**14. An event is very unlikely to happen. Its probability is closest to**

(a) 0.0001

(b) 0.001

(c) 0.01

(d) 0.1

Answer: **(a) 0.0001**

**15. If P(A) denotes the probability of an event A, then**

(a) P(A) < 0

(b) P(A) > 1

(c) 0 ≤ P(A) ≤ 1

(d) –1 ≤ P(A) ≤ 1

Answer: **(c) 0 ≤ P(A) ≤ 1**

**16. The probability that a non leap year selected at random will contain 53 Sundays is**

(a) 1/7

(b) 2/7

(c) 3/7

(d) 5/7

Answer: **(a) 1/7**

**17. If the probability of an event is p, the probability of its complementary event will be**

(a) p – 1

(b) p

(c) 1 – p

(d) 1 – 1/p

Answer: **(c) 1 – p**

**18. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is**

(a) 4

(b) 13

(c) 48

(d) 51

Answer: **(d) 51**

**19. The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is**

(a) 7

(b) 14

(c) 21

(d) 28

Answer: **(b) 14**

**20. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is**

(a) 0.62

(b) 0.38

(c) 0.58

(d) 0.42

Answer: **(b) 0.38**