MCQs of Probability

Probability MCQs

Showing 1 to 10 out of 35 Questions

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

A circular wheel with numbers 1 to 20 on its surface is rolled twice. What is the probability of getting two 13's ?

(a)	$\frac{1}{20}$
(b)	$\frac{1}{40}$
(c)	$\frac{1}{400}$
(d)	$\frac{1}{200}$

Let A and B be two events such that P(A) = 0.4, P(A ∪ B) = 0.7 and P(B) = p. For what choice of p are A and B independent ?

(a)	$\frac{1}{2}$
(b)	$\frac{1}{3}$
(c)	$\frac{3}{4}$
(d)	$\frac{5}{6}$

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)	$1$

A Problem in mathematics is given to three students A, B, C and their respective probability of solving 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)	$\frac{1}{3}$

If A and B are two events such that P(A) > 0 and P(B) ≠ 1, then

P (A ｜ B')

is _____

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

The probability that A speaks truth is

\frac{4}{5}

, while this probability for B is

\frac{3}{4}

. The probability that they contradict each other when asked to speak on an event is _____

(a)	$\frac{7}{20}$
(b)	$\frac{1}{5}$
(c)	$\frac{3}{20}$
(d)	$\frac{4}{5}$

A box contains four red, two white and three green marbles, all of which are the same size. Two marbles are selected one after the other from the box, without replacement. What is the probability that the marbles are of the same colour ?

(a)	0.67
(b)	0.5
(c)	0.14
(d)	0.28

A company has three plants at which it produces a certain item. 30% are produced at plant A, 50% at plant B and remaining at plant C. Suppose that 1%, 4% and 3% of the items produced at plants A, B, C respectively are defective. If an item is selected at random from all those produced, what is the probability that the item was produced at plant B and is defective ?

(a)	0.5
(b)	0.2
(c)	0.02
(d)	0.04

10.

It is given that the events A and B are such that P(A) =

\frac{1}{4}

, P(A l B) =

\frac{1}{2}

, P(B l A) =

\frac{2}{3}

. Then P(B) is _____

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

Showing 1 to 10 out of 35 Questions