MCQs of Probability

Probability MCQs

Showing 11 to 20 out of 35 Questions

11.

If two events A and B are such that P(A') = 0.3, P(B) = 0.5 and P(A ∩ B) = 0.3, then P(B l A ∪ B') is _____

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

12.

A company has three plants at which it produces a certain item. 30 % are produced at plant A, 50 % at plant B and 20 % at plant C. Suppose that 1%, 4% and 3% of the items produced at plants A, B and C respectively are defective. If an item is selected at random from all those produced , what is the probability that the item is defective ?

(a)	0.029
(b)	0.29
(c)	0.025
(d)	0.08

13.

If A and B are two events such that P(A)

\neq

0 and P(B)

\neq

0 then

P (A' B')

=_____

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

14.

If A and B are two events such that P(A)=

\frac{1}{3}

, P(B)=

\frac{1}{4}

and

P (A \cap B) = \frac{1}{5}

then

P (A' B')

=______

(a)	$\frac{37}{40}$
(b)	$\frac{37}{45}$
(c)	$\frac{23}{40}$
(d)	$\frac{8}{45}$

15.

If 4P(A) = 6P(B) = 10P

(A \cap B)

=1 then

P (B A)

=_____

(a)	$\frac{2}{5}$
(b)	$\frac{3}{5}$
(c)	$\frac{7}{10}$
(d)	$\frac{19}{60}$

16.

Three fair coins are tossed. If one of shows tail,then the probability that all three coins shows tail, is _____

(a)	$\frac{1}{7}$
(b)	$\frac{1}{8}$
(c)	$\frac{2}{7}$
(d)	$\frac{1}{6}$

17.

If A and B are two events such that P(A)

\neq

0 and

P (B A)

=1 then_____

(a)	$A \subset B$
(b)	$B \subset A$
(c)	$B = ϕ$
(d)	$A = ϕ$

18.

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

P (A \cap B)

=0.1 then

P (B A \cup B')

=______

(a)	$\frac{3}{8}$
(b)	$\frac{2}{3}$
(c)	$\frac{1}{8}$
(d)	$\frac{1}{4}$

19.

If P(A)=0.1, P(B)=0.2 and

P (A \cup B)

=0.25, then

P (B A')

=_____

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

20.

If P(A) = 0.1, P(B) = 0.2 and

P (A \cup B)

= 0.25, then P(A'/B')

(a)	$\frac{1}{6}$
(b)	$\frac{1}{16}$
(c)	$\frac{15}{16}$
(d)	$\frac{3}{16}$

Showing 11 to 20 out of 35 Questions