Probability  MCQs

MCQs of Probability

Showing 41 to 50 out of 73 Questions
41.
The probability distribution of a random variable X is as follows :
X= x 1  2 3 4 5
 p(x) 0.1 k 0.2 3k 0.3
Then, value of k = _____ .
(a) 0.1
(b) 0.2
(c) 0.3
(d) 0.4
Answer:

Option (a)

42.
In a city of some western country, 70% of the married persons take divorce. The probability that at least 3 among 4 persons will take divorce is _____ .
(a) 0.2401
(b) 0.7599
(c) 0.6517
(d) 0.3483
Answer:

Option (c)

43.
The probability function of a binomial distribution is px=6xpx q6-x, x=0, 1, 2, ..., 6. If 3p (2) = 2p (3), then the value of p = _____ .
(a) 817
(b) 717
(c) 917
(d) 1017
Answer:

Option (c)

44.
If each element of a second order determinant is either 0 or 1, the probability that the value of the determinant is positive is _____ .
(a) 14
(b) 516
(c) 18
(d) 316
Answer:

Option (d)

45.
Two cards are drawn in succession from a standard well shuffled pack of 52 cards. What is the probability that both the cards are aces, if the cards are drawn without replacement ?
(a) 0.0045
(b) 0.0385
(c) 0.045
(d) 0.0059
Answer:

Option (a)

46.
If A and B are two events such that P (A) > 0 and P(B) ≠1, then P (A|B') = _____
(a) 1 - P (A|B')
(b) 1 - P (A|B)
(c) P (A')P(B)
(d) 1 - P (A'|B')
Answer:

Option (d)

47.
Two unbiased coins are tossed. If one coin shows head, the probability that the other also shows head is _____ .
(a) 14
(b) 12
(c) 18
(d) 1
Answer:

Option (b)

48.
A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 12, 13 and 14. Probability that the problem is solved is _____ .
(a) 34
(b) 12
(c) 23
(d) 13
Answer:

Option (a)

49.
A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is _____ .
(a) 83
(b) 38
(c) 45
(d) 54
Answer:

Option (d)

50.
The probability that a student is not a swimmer is 45. The probability that out of 5 students, exactly 4 are swimmers is _____ .
(a) (15)3
(b) 4 (15)4
(c) C45 (45)4
(d) (45)4
Answer:

Option (b)

Showing 41 to 50 out of 73 Questions