Important questions about Engineering Maths - Probability. Engineering Maths - Probability MCQ questions with answers. Engineering Maths - Probability exam questions and answers for students and interviews.

1. A card is taken out of a pack of 52 cards numbered
2 to 53. The probability that the numbers on the
card is a prime number less than 20 is

Options

A : 1/13

B : 2/13

C : 3/13

D : 4/13

2. The probability of getting a number between 1 and
100. Which is divisible by one and itself only is

Options

A : 27/185

B : 23/97

C : 25/98

D : none of these

3. If A and B are two elements such that P(A) = 2/3, P(B) = 3/4, P(A ∩ B) = 1/2, then P(A ∪ B) =

Options

A : 9/8

B : 11/12

C : 17/18

D : 7/12

4. If A and B are two events such that P(A ∪ B) = 0.65, P(A ∩ B) = 0.15, then P(A') + P(B') =

Options

A : 0.6

B : 0.8

C : 1.2

D : 1.4

5. If A, B, C are three events, then P(A ∩ B ∪ C) =

Options

A : P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C)

B : P(A) + P(B) + P(C) - P(B)P(C)

C : P(A ∩ B) + P(A ∩ C) - P(A ∩ B ∩ C)

D : P(B ∩ C) + P(A ∩ B) - P(A ∩ B ∩ C)

46. If each observation of raw data whose variance is σ 2 , is increased by λ, then variance of the new set is

Options

A : σ 2

B : λ 2 σ 2

C : λ + σ 2

D : λ 2 + σ 2

47. If mode of a data is 18 and mean is 24, then
median is

Options

A : 18

B : 24

C : 22

D : 21

48. If μ is mean of distribution, then

Options

A : M.D.

B : Standard Deviation

C : 0

D : None of these

49. b yx b xy is equal to

Options

A : p(X,Y)

B : cov(x,y)

C : (p(X,Y)) 2

D : None of these

50. If cov (X, Y) = 0, then which of the following is
negative?

Options

A : b yx

B : b xy

C : p(X,Y)

D : None of these

6. If A and B are two arbitrary events, then P(A ∩ B) cannot be

Options

A : less than P(A) + P(B) - 1

B : greater than P(A) + P(B)

C : equal to P(A) + P(B) - P(A ∪ B)

D : equal to P(A) + P(B) + P(A ∪ B)

7. If M and N are two events, then probability that
exactly one of them occurs is not equal to

Options

A : P(M) + P(N) - 2P(M ∩ N)

B : P(M) + P(N) - P(M ∩ N)

C : P(M') + P(N') - 2P(M' ∩ N')

D : P(M ∩ N') + P(M' ∩ N)

8. If A and B are any two events then which one of
the following pairs of events,are mutually
exclusive?

Options

A : A ∪ B and A ∩ B'

B : A ∪ B and A' ∩ B

C : A ∪ B and A' ∩ B'

D : A ∪ B and A ∩ B

9. There are three events A, B, C one of which must,
and only one can happen, the odds are
8 to 3 against A, 5 to 2 against B. The odds against
C are

Options

A : 43 to 34

B : 32 to 23

C : 34 to 13

D : none of these

10. There are two bags one of which contains
:3 black and 4 white balls while other contains 4
black and:3 white balls. A dies is cast, if the face 1
or 3 t.urns up, a ball is taken from first bag and if
any other face turns up, a ball is chosen from
second bag. The probability of choosing of black
ball is

Options

A : 11/21

B : 21/11

C : 12/21

D : 21/12

11. An urn contains 5 red and 10 black balls. Eight of them are placed in another urn. The chance that the latter then contains 2 red and 6 black balls is

Options

A : 140/429

B : 129/440

C : 139/420

D : none of these

12. A has one share in a lottery in which there is
1 prize and 2 blanks; B has three shares in a lottery
in which there are 3 prizes and 6 blanks; compare
the probability of A's success to that of B's success
is

Options

A : 7: 16

B : 16: 7

C : 6: 14

D : 14: 6

13. If A and B are independent, then A and B' are
also

Options

A : independent

B : dependent

C : both (a) and (b)

D : none of these

14. The chance that a leap year selected at random
will contain 53 Sundays is

Options

A : 7/2

B : 2/7

C : 3/7

D : 7/2

15. P(A ∩ B'/C) + P(A ∩ B/C) = P(A/C)

Options

A : True

B : False

C :

D :

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