MCQs of Probability

Probability MCQs

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

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

43.

The probability function of a binomial distribution is

p (x) = (\begin{matrix} 6 \\ x \end{matrix}) p^{x} q^{6 - x}, x = 0, 1, 2, . . ., 6 .

If 3p (2) = 2p (3), then the value of p = _____ .

(a)	$\frac{8}{17}$
(b)	$\frac{7}{17}$
(c)	$\frac{9}{17}$
(d)	$\frac{10}{17}$

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)	$\frac{1}{4}$
(b)	$\frac{5}{16}$
(c)	$\frac{1}{8}$
(d)	$\frac{3}{16}$

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

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)	$\frac{P (A')}{P (B)}$
(d)	1 - P (A'\|B')

47.

Two unbiased coins are tossed. If one coin shows head, the probability that the other also shows head is _____ .

(a)	$\frac{1}{4}$
(b)	$\frac{1}{2}$
(c)	$\frac{1}{8}$
(d)	1

48.

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is

\frac{1}{2}

\frac{1}{3}

and

\frac{1}{4}

. Probability that the problem is solved is _____ .

(a)	$\frac{3}{4}$
(b)	$\frac{1}{2}$
(c)	$\frac{2}{3}$
(d)	$\frac{1}{3}$

49.

A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is _____ .

(a)	$\frac{8}{3}$
(b)	$\frac{3}{8}$
(c)	$\frac{4}{5}$
(d)	$\frac{5}{4}$

50.

The probability that a student is not a swimmer is

\frac{4}{5}

. The probability that out of 5 students, exactly 4 are swimmers is _____ .

(a)	$(\frac{1}{5})^{3}$
(b)	$4 (\frac{1}{5})^{4}$
(c)	${}_{5}C_{4} (\frac{4}{5})^{4}$
(d)	$(\frac{4}{5})^{4}$

Showing 41 to 50 out of 73 Questions