# MCQ Questions for Class 11 Maths Chapter 16 Probability with answers

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Below you will find MCQ Questions of Chapter 15 Statistics Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 11 Maths Chapter 16 Probability with answers

1. The direction cosines of two lines are such that l + m + n = 0, l2 + m2 – n2 = 0, then angle between them is

(a) π

(b) π/3

(c) π/4

(d) π/6

► (b) π/3

2. In a simultaneous toss of two coins, the probability of getting no tail is:

(a) 1/4

(b) 1/2

(c) 2

(d) 0.1

► (a) 1/4

3. One card is drawn from a pack of cards, each of the 52 cards being equally likely to be drawn. The probability that the card drawn is red and a queen is:

(a) 1/26

(b) 1/2

(c) 2

(d) 1/4

► (a) 1/26

4. 8 coins are tossed at a time. The probability of getting 6 heads up is

(a) 57/64

(b) 7/64

(c) 37/256

(d) 229/256

► (c) 37/256

5. A coin is tossed once. If a head comes up, then it is tossed again and if a tail comes up, a dice is thrown. The number of points in the sample space of experiment is

(a) 4

(b) 24

(c) 12

(d) 8

► (d) 8

6. For k = 1, 2, 3, the box Bk contains k red balls and (k + 1) white balls. Let P(B1) = 1/2, P(B2) = 1/3, P(B3) = 1/6. A box is selected at random and a ball is drawn from it. If a red ball is drawn, then probability that it has come from box B2 is

(a) 35/78

(b) 14/39

(c) 10/13

(d) 12/13

► (b) 14/39

7. Two dice are thrown simultaneously. The probability of getting an even number as the sum is:

(a) 1/2

(b) 1

(c) 1/4

(d) 1/3

► (a) 1/2

8. Both A and B throw a dice. The chance that B throws a number not less than that thrown by A is

(a) 1/2

(b) 15/36

(c) 21/36

(d) none of these

► (c) 21/36

9. A person throws successively with a pair of dice. The chance that he throws 9 before he throws 7 is

(a) 1/9

(b) 2/45

(c) 1/81

(d) 2/5

► (d) 2/5

10. Probability of getting a number between 1 and 100, which is divisible by 1 and itself only, is

(a) 25/99

(b) 1/4

(c) 25/98

(d) none of these

► (c) 25/98

11. A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ is

(a) 1/2

(b) 1

(c) 1/6

(d) none of these

► (a) 1/2

12. The sample space associated to thrown a dice is

(a) (1, 2, 3)

(b) (1, 2, 3, 4, 5, 6)

(c) (1, 3, 5)

(d) (2, 4, 6)

► (b) (1, 2, 3, 4, 5, 6)

13. If three dice are thrown, then the probability that they show the numbers in A.P. is

(a) 1/12

(b) 7/36

(c) 1/36

(d) 1/18

► (d) 1/18

14. A and B take turn in throwing a pair of dice. A wins if he throws a total of 5 before B throws a total of 7. If A has the first throw, the probability of his winning the game is

(a) 3/7

(b) 9/41

(c) 4/7

(d) 9/11

► (a) 3/7

15. The letters of the word ‘ASSASSIN ‘ are written at random in a row. The chance that all the similar letters occur together is

(a) 1/35

(b) 1/14

(c) 34/35

(d) none of these

► (b) 1/14

16. A fair coin is tossed a fixed number of times. If the probability of getting 4 heads is equal to the probability of getting 7 heads, then the probability of getting 2 heads is

(a) 55/2048

(b) 3/4096

(c) 1/1024

(d) 3/1024

► (a) 55/2048

17. A die is thrown. (i) A: a number less than 7 (ii) B: a number greater than 7 Then, A ∩ B is:

(a) (ø)

(b) (5, 6)

(c) (1, 2, 3, 4)

(d) (1, 2, 3, 4, 5, 6)

► (a) (ø)

18. A man alternately tosses a coin and throws a dice beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is

(a) 3/4

(b) 1/2

(c) 1/3

(d) None of these

► (a) 3/4

19. The probability on the basis of observations and collected data is called:

(a) Axiomatic approach of probability

(b) Empirical probability

(c) Statistical approach of probability

(d) Classical approach of probability

► (c) Statistical approach of probability

20. The probability of having atleast one head in 5 throws of a coin is

(a) 1/32

(b) 5/32

(c) 31/32

(d) none of these

Hope the given MCQ Questions will help you in cracking exams with good marks. These Probability MCQ Questions will help you in practising more and more questions in less time.