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NCERT Solutions for class 12 Maths | Chapter 13 - Probability

Free download in PDF Class 12 Maths Chapter 13 Probability Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) If P(x) = 2/15; y = 1, 2, 3, 4, 5, 0 otherwise then P|x = 1 or 2| is
[A] 1/15
[B] 2/15
[C] 1/5
[D] None of these
Answer: 1/5
(2) If one card is drawn out of 52 playing cards, the probability that it is an dice is
[A] 1/26
[B] 1/13
[C] 1/52
[D] 1/4
Answer: 1/13
(3) Two number are chosen, one by one without replacement from the set of number A = {1, 2, 3, 4, 5, 6} then the probability that minimum value of two number chosen is less than 4 is
[A] 14/15
[B] 1/15
[C] 1/5
[D] 8/5
Answer: 1/15
(4) If A and B are events such that P (A∪B) = 3/4. P(A∩B) = 1/4, P(a) = 2/3 then P(AB) is
[A] 3/8
[B] 5/8
[C] 5/12
[D] 1/4
Answer: 5/8
(5) If P (a) = 3/8, P(b) = 1/2 and P(A∩B) = 1/4 then Class 12 Maths Chapter 13 Probability
[A] 1/4
[B] 1/3
[C] 3/4
[D] 3/8
Answer: 1/3
(6) If P(a) = 0,4, P(b) = 0.8 and P(B|A) = 0.6 then P(A∪B) is equal to
[A] 0.24
[B] 0.3
[C] 0.48
[D] 0.96
Answer: 0.96
(7) If P(a) = 7/10 P(b) = 7/10 and P(A∪B) = 7/10 then P (B|A) + P(A|B) equals
[A] 1/4
[B] 1/3
[C] 5/12
[D] 7/12
Answer: 7/12
(8) An urn contain’s balls of which 3 are red, 4 are blue and 2 are green, 3 balls are drawn at random without replacement from the urn. The probability that the 3 balls haye different colours is
[A] 1/3
[B] 2/7
[C] 1/21
[D] 2/23
Answer: 2/7
(9) The mean and the variance of binomial distribution are 4 and 2, respectively. Then the probability of 2 success
[A] 128/256
[B] 219/256
[C] 7/64
[D] 28/256
Answer: 7/64
(10) The probability of India w inning a test match against. West Indies is 1/2. Assuming independence from match to match the probability that in a match series India second win occurs at the third test is)
[A] 1/6
[B] 1/4
[C] 1/2
[D] 2/3
Answer: 1/4
(11) Five horse are in a race. Mr. A select two of the horses at random and best on them. The probability that Mr. A select the winning horses is
[A] 4/5
[B] 3/5
[C] 1/5
[D] 2/5
Answer: 2/5
(12) The chance of getting a doublet with 2 dice is
[A] 2/3
[B] 1/6
[C] 5/6
[D] 5/36
Answer: 1/6
(13) If A and B are two events such that P(a) ≠ 0 and then
[A] B ⊂ A
[B] B = φ
[C] A ⊂ B
[D] A ∩ B = φ
Answer: A ⊂ B
(14) P(A∩B) =
[A] 3/5
[B] 5/8
[C] 3/8
[D] 5/6
Answer: 5/6
(15) The probability of an event is 3/7. Then odd against the event is
[A] 4 : 3
[B] 7 : 3
[C] 3 : 7
[D] 3 : 4
Answer: 4 : 3
(16) Let A and B two event such that P(a) = 3/8, P(b) = 5/8 and P(A∪B) = 3/4. Then P(A|B).P(A’|B) is equal to
[A] 2/5
[B] 3/8
[C] 3/20
[D] 6/25
Answer: 6/25
(17) If P(a) =
[A] 3/47
[B] 5/49
[C] 2/3
[D] 1/4
Answer: 2/3
(18) If A and B are two independent events, then
[A] P(A∩B) = P(a) × P(b)
[B] P(AB) = 1 – P(A’) P(B’)
[C] P(AB) = 1 + P (A’) P(B’) P(A’)
[D]
Answer: P(A∩B) = P(a) × P(b)
(19) If P(a) = 3/8, P(b) = 1/3 and P(A∩B) = — then P (A’ ∩B’)
[A] 13/24
[B] 13/8
[C] 13/9
[D] 13/4
Answer: 13/24
(20) Three distinct numbers.are selected from First 100 natural numbers. The probability divisible by 2 and 3 is
[A] 9/25
[B] 4/35
[C] 4/55
[D] 4/1155
Answer: 4/1155

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