Practice Probability Multiple Choice Questions Quiz-1 - MCQGeeks.com

Q.1

A box has 6 black, 4 red, 2 white and 3 blue shirts. What is the probability that 2 red shirts and 1 blue shirt get chosen during a random selection of 3 shirts from the box?

$$\frac{{18}}{{455}}$$
$$\frac{{7}}{{15}}$$
$$\frac{{7}}{{435}}$$
$$\frac{{7}}{{2730}}$$

Q.2

When two coins are tossed simultaneously, what are the chances of getting at least one tail?

$$\frac{{4}}{{5}}$$
$$\frac{{1}}{{5}}$$
$$\frac{{3}}{{4}}$$
$$\frac{{1}}{{4}}$$

Q.3

A pot has 2 white, 6 black, 4 grey and 8 green balls. If one ball is picked randomly from the pot, what is the probability of it being black or green?

$$\frac{{3}}{{4}}$$
$$\frac{{7}}{{10}}$$
$$\frac{{4}}{{3}}$$
$$\frac{{1}}{{10}}$$

Q.4

In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black?

$$\frac{{5}}{{14}}$$
$$\frac{{5}}{{8}}$$
$$\frac{{3}}{{8}}$$
$$\frac{{5}}{{16}}$$

Q.5

A box has 5 black and 3 green shirts. One shirt is picked randomly and put in another box. The second box has 3 black and 5 green shirts. Now a shirt is picked from second box. What is the probability of it being a black shirt?

$$\frac{{4}}{{9}}$$
$$\frac{{29}}{{72}}$$
$$\frac{{8}}{{72}}$$
$$\frac{{3}}{{16}}$$

Q.6

In a set of 30 game cards, 17 are white and rest are green. 4 white and 5 green are marked IMPORTANT. If a card is chosen randomly from this set, what is the possibility of choosing a green card or an ‘IMPORTANT’ card?

$$\frac{{13}}{{30}}$$
$$\frac{{22}}{{30}}$$
$$\frac{{17}}{{30}}$$
$$\frac{{9}}{{13}}$$

Q.7

A box has 6 black, 4 red, 2 white and 3 blue shirts. What is probability of picking at least 1 red shirt in 4 shirts that are randomly picked?

$$\frac{{4}}{{15}}$$
$$\frac{{24}}{{455}}$$
$$\frac{{69}}{{91}}$$
$$\frac{{22}}{{91}}$$

Q.8

What is probability of drawing two clubs from a well shuffled pack of 52 cards?

$$\frac{{13}}{{51}}$$
$$\frac{{1}}{{17}}$$
$$\frac{{1}}{{26}}$$
$$\frac{{13}}{{17}}$$

Q.9

What is the possibility of having 53 Thursdays in a non-leap year?

$$\frac{{6}}{{7}}$$
$$\frac{{1}}{{365}}$$
$$\frac{{1}}{{7}}$$
$$\frac{{53}}{{365}}$$

Q.10

In hypergeometric distribution, the trials are

Dependent
Independent
Collectively Exhaustive
None of these

Q.11

For a random variable X, E(X) is

Harmonic Mean (HM)
Geometric Mean (GM)
Arithmetic Mean (AM)
None of these

Q.12

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?

$$\frac{{23}}{{35}}$$
$$\frac{{29}}{{35}}$$
$$\frac{{47}}{{70}}$$
$$\frac{{43}}{{70}}$$

Q.13

If four coins are tossed, the probability of getting two heads and two tails is -

$$\frac{{3}}{{8}}$$
$$\frac{{6}}{{11}}$$
$$\frac{{2}}{{5}}$$
$$\frac{{4}}{{5}}$$

Q.14

Suresh keeps all his socks in a single drawer. He has 24 pairs of white socks and 18 pairs of grey socks. Suresh picks 3 socks randomly. Find the possibility of Suresh choosing a matching pair.

$$\frac{{1}}{{36}}$$
$$\frac{{1}}{{108}}$$
$$\frac{{7}}{{36}}$$
1

Q.15

Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?

$$\frac{{9}}{{25}}$$
$$\frac{{9}}{{50}}$$
$$\frac{{18}}{{25}}$$
None of these

Q.16

In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?

$$\frac{{4}}{{11}}$$
1
$$\frac{{2}}{{33}}$$
$$\frac{{19}}{{66}}$$

Q.17

A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.

$$\frac{{20}}{{31}}$$
$$\frac{{20}}{{63}}$$
$$\frac{{5}}{{31}}$$
$$\frac{{6}}{{31}}$$

Q.18

A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, what is the probability that either both are white or both are blue?

$$\frac{{4}}{{105}}$$
$$\frac{{1}}{{35}}$$
$$\frac{{1}}{{105}}$$
$$\frac{{1}}{{15}}$$

Q.19

A box has 6 black, 4 red, 2 white and 3 blue shirts. Find the probability of drawing 2 black shirts if they are picked randomly?

$$\frac{{1}}{{8}}$$
$$\frac{{2}}{{15}}$$
$$\frac{{6}}{{15}}$$
$$\frac{{1}}{{7}}$$

Q.20

What will be the possibility of drawing a jack or a spade from a well shuffled standard deck of 52 playing cards?

$$\frac{{4}}{{13}}$$
$$\frac{{1}}{{26}}$$
$$\frac{{1}}{{13}}$$
$$\frac{{17}}{{52}}$$

Q.21

Probability distribution of a random variable is also known as

Probability
Probability Function
Distribution Function
Probability Distribution

Q.22

Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?

$$\frac{{1}}{{6}}$$
$$\frac{{5}}{{8}}$$
$$\frac{{3}}{{8}}$$
$$\frac{{5}}{{6}}$$

Q.23

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?

$$\frac{{17}}{{91}}$$
$$\frac{{33}}{{91}}$$
$$\frac{{51}}{{91}}$$
$$\frac{{65}}{{91}}$$

Q.24

A dice is rolled twice. What is the probability of getting sum 9?

$$\frac{{2}}{{3}}$$
$$\frac{{1}}{{3}}$$
$$\frac{{1}}{{9}}$$
$$\frac{{3}}{{9}}$$

Q.25

There are 2 pots. One pot has 5 red and 3 green marbles. Other has 4 red and 2 green marbles. What is the probability of drawing a red marble?

$$\frac{{9}}{{14}}$$
$$\frac{{31}}{{48}}$$
1
$$\frac{{1}}{{2}}$$

Q.26

A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -

$$\frac{{25}}{{42}}$$
$$\frac{{9}}{{20}}$$
$$\frac{{10}}{{23}}$$
$$\frac{{41}}{{42}}$$

Q.27

Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -

$$\frac{{1}}{{2}}$$
$$\frac{{16}}{{19}}$$
$$\frac{{4}}{{5}}$$
$$\frac{{17}}{{20}}$$

Q.28

The probability that A speaks truth is $$\frac{{3}}{{5}}$$ and that of B speaking truth is $$\frac{{4}}{{7}}$$. What is the probability that they agree in stating the same fact?

$$\frac{{18}}{{35}}$$
$$\frac{{12}}{{35}}$$
$$\frac{{17}}{{35}}$$
$$\frac{{19}}{{35}}$$

Q.29

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?

$$\frac{{24}}{{455}}$$
$$\frac{{3}}{{91}}$$
$$\frac{{12}}{{455}}$$
$$\frac{{15}}{{91}}$$

Q.30

What is the probability that a leap year has 53 Sundays and 52 Mondays?

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

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