MCQs of Probability

Probability MCQs

Showing 31 to 35 out of 35 Questions

31.

If events A and B are such that

P (A) = \frac{1}{6}, P (A | B) = \frac{1}{9}, P (B | A) = \frac{2}{5}, then P (B)

= _____ .

(a)	$\frac{1}{5}$
(b)	$\frac{1}{6}$
(c)	$\frac{4}{15}$
(d)	$\frac{3}{5}$

32.

A and B are independent events. If P (A U B) = 0.5 and P (A) = 0.2, then P (B) = _____ .

(a)	$\frac{3}{8}$
(b)	$\frac{2}{3}$
(c)	$\frac{1}{2}$
(d)	$\frac{2}{5}$

33.

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

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

and

P (A \cup B) = \frac{5}{6}

, then the events A and B are _____ .

(a)	mutually exclusive events
(b)	mutually exclusive and independent events
(c)	independent events
(d)	depends only on A

34.

A speaks truth in 75% cases and B speaks truth in 80% cases. The probability that they contradict each other in a statement is _____ .

(a)	$\frac{7}{20}$
(b)	$\frac{13}{20}$
(c)	$\frac{3}{5}$
(d)	$\frac{2}{5}$

35.

Five horses are in a race, Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is _____ .

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

Showing 31 to 35 out of 35 Questions