NCERT Class 12 Chapter 13 Maths Probability MCQ

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1. If a fair die is rolling. The events are E={1,3,6}, F={4,6}. Then the probability P(E/F) is

A. 1/2

B. 2/3

C. 1/6

D. None of these

2. The variance of random variable X i.e. σ2x or var (X) is equal to

A. E(X²) + [E(X²)₂]²

B. E(X) – [E(X²)]

C. E(X²) – [E(X)]²

D. None of these

3. In a binomial distribution, the sum of its mean and variance is 1.8. Find the probability of two successes, if the event was conducted times.

A. 0.2623

B. 0.2048

C. 0.302

D. 0.305

4. If A and B are two events of sample space S, then

A. P(A ∩ B) = P(B)P(A/B); P(B) ≠ 0

B. P(A ∪ B) = P(A)P(A/B); P(B) ≠ 0

C. P(A ∪ B) = P(B)P(A/B); P(B) ≠ 0

D. P(A ∩ B) = P(A)P(A/B); P(B) ≠ 0

5. Let A and B are two events. If P(A)=0.2 p(B)=0.4, P(AᴜB)=0.6, then P(A/B) is equal to

A. 0

B. 0.3

C. 0.5

D. 0.8

6. A coin is biased so that the head is 3 times likely to occur as a tail. If the coin is tossed twice, then find the probability distribution of the number of tails.

CBSE Class12 Maths Probability (6Q)

A. (a)

B. (b)

C. (c)

D. (d)

7. Let A and B be two events. If P(A) = 0.2, P(B) = 0.4, P(A ∪ B) = 0.6, then P(A/B) is equal to:

A. 0.8

B. 0.5

C. 0.3

D. 0

8. If 2P(A) = P(B) = 5/13 and P(A|B) = 2/5, then P ∪ B) = ...

A. 11/13

B. 2/13

C. 15/26

D. 11/26

9. Let A and B be two events such that P(A)=0.6, P(B)=0.2 and P(A/B)=0.5, then P(A’/B’) equals

A. 3/8

B. 3/10

C. 1/10

D. 6/7

10. A pair of the die is thrown 4 times. If getting a doubled is considered a success, then find the probability distribution of a number of successes.

CBSE Class12 Maths Probability (10Q)

A. (a)

B. (b)

C. (c)

D. (d)

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11. If P(A) = 0.4, P(b) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) equal to

A. 0.24

B. 0.3

C. 0.48

D. 0.96

12. If A, B and C are three events of sample space S, then

A. P(A∩B∩C) = P(A).P(A/B).P(C/A∪B)

B. P(A∩B∪C) = P(A).P(B/A).P(C/A∩B)

C. P(A∪B∪C) = P(A).P(B/A).P(C/A∩B)

D. P(A∩B∩C) = P(A).P(B/A).P(C/A∩B)

13. Two numbers are chosen from {1,2,3,4,5,6} one after the other without replacement. The probability that one of the smaller values is less than 4 is

A. 4/5

B. 1/15

C. 1/5

D. 14/15

14. Find the probability of throwing atmost 2 sixes in 6 throws of a single die.

A. 3518(56)3

B. 3518(56)4

C. 1829(23)4

D. 1829(23)3

15. If A, B are two events associated with same random experiment such that P(a) = 0.4, P(b) = 0.8 and P(B/A) = 0.6 then P(A/B) is

A. 0.3

B. 0.4

C. 0.5

D. 0.6

16.

A. (A)

B. (B)

C. (C)

D. (D)

17. The probability of a student getting 1,2,3 division in an examination are 1/10, 3/5 and 1/4 respectively. The probability that the student fails in the examination is

A. 27/100

B. 83/100

C. None of these

D. 197/200

18. A die is thrown again and again until three sixes are obtained. Find the probability of obtaining third six in the sixth throw of the die.

A. 62523329

B. 62125329

C. 62523328

D. 62023328

19. If A and B are independent events such that 0 < P(A) < 1 and 0 < P(B) < 1, then which of the following is not correct?

A. A and B are mutually exclusive

B. A and B’ are independent

C. A’ and B are independent

D. A’ and B’ are independent

20. If A and B are independent events such that 0 < P(A) < 1 and 0 < P(B) < 1, then which of the following is not correct?

A. A and B are mutually exclusive

B. A and B’ are independent

C. A’ and B are independent

D. A’ and B’ are independent

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21. Let E and F be events of a sample space S of an experiment, then P(E'/F) = ...

A. P(E/F)

B. P(E').P(F)

C. P(E')/P(F)

D. 1 - P(E/F)

22. A speaks truth in 75% cases and B speaks truth in 80% cases. The probability that they contradict each other in a statement is

A. 7/20

B. 13/20

C. 3/5

D. 2/5

23. Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Then, the probability that there is atleast one defective egg is

A. 1−7101010

B. 1+7101010

C. 1+9101010

D. 1−9101010

24. An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. A consists 4 outcomes, the number of outcomes that B must have so that A and B are independent is

A. 2, 4 or 8

B. 36 or 9

C. 4 or 8

D. 5 or 10

25. If is imaginary cube root of unity, then = ……

A. -2ω²

B. 1

C. 0

D. ω²