Objective Type Question and Answers On Class 12 Maths Chapter 13 Probability

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

View Answer

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

View Answer

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

View Answer

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

View Answer

Answer:5/8

5 If P (a) = 3/8, P(b) = 1/2 and P(A∩B) = 1/4 then

A 1/4

B 1/3

C 3/4

D 3/8

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

Answer:A ⊂ B

14 P(A∩B) =

A 3/5

B 5/8

C 3/8

D 5/6

View Answer

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

View Answer

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

View Answer

Answer:6/25

17 If P(a) =

A 3/47

B 5/49

C 2/3

D 1/4

View Answer

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’)

View Answer

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

View Answer

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

View Answer

Answer:4/1155

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