MCQs of Probability

Probability MCQs

Showing 21 to 30 out of 35 Questions

21.

The mean and variance of a binomial distribution is

\frac{4}{3}

and

\frac{20}{21}

respectively then p=_____ where p is parameter

(a)	$\frac{5}{7}$
(b)	$\frac{2}{7}$
(c)	$\frac{4}{7}$
(d)	$\frac{7}{5}$

22.

A fair coin is tossed three times. The events A, B, E, F, M, N are described as given : A : Head on third toss B : Head on first toss

∴ P (A / B) =

_____ .

(a)	0
(b)	$\frac{1}{2}$
(c)	$\frac{1}{4}$
(d)	$\frac{1}{8}$

23.

If P (B') = 0.65,

P (A \cup B) = 0.85

and A and B are independent events, then P(A) = _____ .

(a)	$\frac{1}{13}$
(b)	$\frac{13}{17}$
(c)	$\frac{10}{13}$
(d)	$\frac{4}{7}$

24.

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

25.

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)	$\frac{3}{16}$

26.

It is given that the events A and B are such that

P (A) = \frac{1}{4}

P (A B) = \frac{1}{2}

P (B A) = \frac{2}{3}

, then P (B) = _____ .

(a)	$\frac{1}{2}$
(b)	$\frac{1}{6}$
(c)	$\frac{1}{3}$
(d)	$\frac{2}{3}$

27.

If two events A and B are such that P (A') = 0.3, P (B) = 0.5 and

P (A \cap B) = 0.3

then

P (B A \cup B') =

_____ .

(a)	0.375
(b)	0.32
(c)	0.31
(d)	0.28

28.

Let A and B, be events such that P (A) = 0.5, P ( A U B) = 0.65 and P (B) = p. If A and B are independent events, then value of p = _____ .

(a)	$\frac{1}{2}$
(b)	$\frac{3}{10}$
(c)	$\frac{3}{100}$
(d)	$\frac{1}{20}$

29.

Three balanced coins are tossed together once. If head appears on the first coin, the probability of getting heads on remaining coin is _____ .

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

30.

If A and B are events such that P (A) > 0 and

P (B) \neq 1

, then

P (A' B') =

_____ .

(a)	$1 - P (A B')$
(b)	$1 - P (A' B)$
(c)	$\frac{P (A')}{P (B')}$
(d)	$\frac{1 - P (A \cap B)}{P (B')}$

Showing 21 to 30 out of 35 Questions