NCERT Solutions for class 12 Maths | Chapter 13 - Probability

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Questions
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
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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 Class 12 Maths Chapter 13 Probability then
A B ⊂ A
B B = φ
C A ⊂ B
D A ∩ B = φ

Answer:A ⊂ B
14 P(A∩B) = Class 12 Maths Chapter 13 Probability
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) =Class 12 Maths Chapter 13 Probability
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 Class 12 Maths Chapter 13 Probability

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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