Practice Probability Multiple Choice Questions Quiz-5 - MCQGeeks.com

Q.1

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

$$\frac{{1}}{{10}}$$
$$\frac{{2}}{{5}}$$
$$\frac{{2}}{{7}}$$
$$\frac{{5}}{{7}}$$

Q.2

An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If two marbles are picked up at random, what is the probability that either both are green or both are yellow ?

$$\frac{5}{91}$$
$$\frac{1}{35}$$
$$\frac{1}{3}$$
$$\frac{4}{105}$$
None of these

Q.3

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

$$\frac{1}{2}$$
$$\frac{2}{5}$$
$$\frac{8}{15}$$
$$\frac{9}{20}$$

Q.4

In a single throw of die, what is the probability of getting a number greater than 4 ?

$$\frac{1}{2}$$
$$\frac{1}{3}$$
$$\frac{2}{3}$$
$$\frac{1}{4}$$

Q.5

Two cards are drawn from a pack of 52 cards. The probability that either both are red or both are king, is-

$$\frac{7}{13}$$
$$\frac{3}{26}$$
$$\frac{63}{221}$$
$$\frac{55}{221}$$

Q.6

An urn contains 6 red, 4 blue, 2 green 3 yellow marbles. If two marbles are drawn at random from the run, what is the probability that both are red ?

$$\frac{1}{6}$$
$$\frac{1}{7}$$
$$\frac{2}{15}$$
$$\frac{2}{5}$$

Q.7

The probability function is always

Negative
Non Negative
Positive
None of these

Q.8

Binomial distribution is symmetrical when

p = q
p > q
p < q
np > npq

Q.9

A box contains 4 red, 5 green and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green ?

$$\frac{2}{5}$$
$$\frac{3}{5}$$
$$\frac{1}{5}$$
$$\frac{7}{15}$$

Q.10

Three unbiased coins are tossed. What is the probability of getting at most two heads?

$$\frac{3}{4}$$
$$\frac{1}{4}$$
$$\frac{3}{8}$$
$$\frac{7}{8}$$

Q.11

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card ?

$$\frac{3}{13}$$
$$\frac{4}{13}$$
$$\frac{1}{4}$$
$$\frac{9}{52}$$

Q.12

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

$$\frac{{10}}{{21}}$$
$$\frac{{11}}{{21}}$$
$$\frac{{2}}{{7}}$$
$$\frac{{5}}{{7}}$$

Q.13

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

$$\frac{{1}}{{3}}$$
$$\frac{{3}}{{4}}$$
$$\frac{{7}}{{19}}$$
$$\frac{{8}}{{21}}$$
$$\frac{{9}}{{21}}$$

Q.14

A bag contains 3 blue, 2 green and 5 red balls. If four balls are picked at random, what is the probability that two are green and two are blue?

$$\frac{1}{18}$$
$$\frac{1}{70}$$
$$\frac{3}{5}$$
$$\frac{1}{2}$$

Q.15

A basket contains 6 blue, 2 red, 4 green and 3 yellow balls. If 5 balls are picked up at random, what is the probability that at least one is blue?

$$\frac{137}{143}$$
$$\frac{18}{455}$$
$$\frac{9}{91}$$
$$\frac{2}{5}$$
None of these

Q.16

In special rule of addition of probability, the events are always

Bayesian
Empirical
Independent events
Mutually Exclusive events

Q.17

Binomial distribution has parameters

1
2
3
4

Q.18

Binomial distribution is negatively skewed when

p = 0
p > $$\frac{{1}}{{2}}$$
p < $$\frac{{1}}{{2}}$$
p = -$$\frac{{1}}{{2}}$$

Q.19

A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases they contradict each other in narrating the same incident?

15%
25%
35%
45%

Q.20

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

$$\frac{{1}}{{13}}$$
$$\frac{{3}}{{13}}$$
$$\frac{{1}}{{4}}$$
$$\frac{{9}}{{52}}$$

Q.21

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

$$\frac{{3}}{{4}}$$
$$\frac{{4}}{{7}}$$
$$\frac{{1}}{{8}}$$
$$\frac{{3}}{{7}}$$

Q.22

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

$$\frac{{1}}{{15}}$$
$$\frac{{25}}{{57}}$$
$$\frac{{35}}{{256}}$$
$$\frac{{1}}{{221}}$$

Q.23

Bag contain 10 black and 20 white balls, One ball is drawn at random. What is the probability that ball is white

$$\frac{{1}}{{3}}$$
$$\frac{{2}}{{3}}$$
$$\frac{{1}}{{2}}$$
$$\frac{{4}}{{3}}$$

Q.24

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked up at random what is the probability that at least one is blue ?

$$\frac{7}{12}$$
$$\frac{37}{44}$$
$$\frac{5}{12}$$
$$\frac{7}{44}$$
None of these

Q.25

Probability of occurrence of an event lies between

0 and 1
-1 and 0
-1 and 1
exactly 1

Q.26

A discrete probability distribution may be represented by

A table
A graph
A mathematical Equation
All of these

Q.27

In which distribution successive trials are without replacement

Poisson distribution
Binomial distribution
Geometric distribution
Hypergeometric distribution

Q.28

A bag contains 6 red balls 11 yellow balls and 5 pink balls. If two balls are drawn at random from the bag. One after another what is the probability that the first ball is red and second ball is yellow?

$$\frac{1}{14}$$
$$\frac{2}{7}$$
$$\frac{5}{7}$$
$$\frac{3}{14}$$
None of these

Q.29

A man and his wife appear in an interview for two vacancies in the same post. The probability two of husband’s selection is $$\frac{1}{7}$$ and the probability of wife’s selection is$$\frac{1}{5}$$. What is the probability that only one of them is selected?

$$\frac{4}{5}$$
$$\frac{2}{7}$$
$$\frac{4}{7}$$
$$\frac{8}{15}$$
None of these

Q.30

What is the probability of getting a sum 9 from two throws of a dice?

$$\frac{{1}}{{6}}$$
$$\frac{{1}}{{8}}$$
$$\frac{{1}}{{9}}$$
$$\frac{{1}}{{12}}$$

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