MCQs of Probability

Probability MCQs

Showing 61 to 70 out of 73 Questions

61.

If parameters of a binomial distribution are n = 6 and p = 0.75, then the mean is _____ and the variance is _____ .

(a)	4.5, 1.06
(b)	4.5, 3.375
(c)	4.75, 3.75
(d)	4.5, 1.125

62.

The probability that an event A occurs in a single trial of an experiment is 0.6. Three independent trials of the experiment are performed. The probability that A occurs at least once is _____ .

(a)	0.936
(b)	0.784
(c)	0.216
(d)	0.064

63.

If a pair of dice is tossed 10 times, the probability that (6, 6) appears at least once is _____ .

(a)	$1 - (\frac{35}{36})^{10}$
(b)	$1 - (\frac{1}{6})^{10}$
(c)	$1 - (\frac{1}{36})^{10}$
(d)	$(\frac{35}{36})^{10}$

64.

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)	$\frac{2}{5}$

65.

If the mean and variance of a binomial distribution are 3 and 2 respectively, the value of parameter n of the binomial distribution = _____ .

(a)	9
(b)	3
(c)	8
(d)	6

66.

If a coin is tossed 10 times, then the probability of getting exactly 6 heads is _____ .

(a)	$\frac{105}{512}$
(b)	$\frac{100}{513}$
(c)	$(\begin{matrix} 10 \\ 6 \end{matrix})$
(d)	$(\begin{matrix} 10 \\ 4 \end{matrix}) \times 6!$

67.

A die is thrown 100 times. If getting an even number is considered a success, then variance of the number of success is _____ .

(a)	50
(b)	25
(c)	10
(d)	100

68.

A die has four blank faces and two faces marked 3. The chance of getting a total of 12 in 5 throws is _____ .

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

69.

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

70.

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)	$\frac{2}{5}$

Showing 61 to 70 out of 73 Questions