MCQs of Probability

Showing 1 to 10 out of 73 Questions
1.
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
2.
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) $\frac{1}{200}$
3.
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) $\frac{5}{6}$
4.
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) $1$
5.
A Problem in mathematics is given to three students A, B, C and their respective probability of solving is .Probability that the problem is solved is _____
 (a) $\frac{3}{4}$ (b) $\frac{1}{2}$ (c) $\frac{2}{3}$ (d) $\frac{1}{3}$
6.
If A and B are two events such that P(A) > 0 and P(B) ≠ 1, then is _____
 (a) (b) (c) $\frac{\mathrm{P}\left(\mathrm{A}\text{'}\right)}{\mathrm{P}\left(\mathrm{B}\right)}$ (d)
7.
A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is _____
 (a) $\frac{8}{3}$ (b) $\frac{3}{8}$ (c) $\frac{4}{5}$ (d) $\frac{5}{4}$
8.
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) $\frac{4}{5}$
9.
The probability that a student is not a swimmer is $\frac{4}{5}$ . The probability that out of 5 students exactly 4 are swimmers is _____
 (a) ${\left(\frac{1}{5}\right)}^{3}$ (b) $4{\left(\frac{1}{5}\right)}^{4}$ (c) ${}_{5}{\mathrm{C}}_{4}{\left(\frac{4}{5}\right)}^{4}$ (d) ${\left(\frac{4}{5}\right)}^{4}$
10.
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
Showing 1 to 10 out of 73 Questions