Practice Probability Multiple Choice Questions Quiz-4 - MCQGeeks.com

Q.1

In a race, the odd favour of cars P, Q, R, S are 1 : 3, 1 : 4, 1 : 5 and 1 : 6 respectively. Find the probability that one of them wins the race.

$$\frac{{9}}{{17}}$$
$$\frac{{114}}{{121}}$$
$$\frac{{319}}{{420}}$$
$$\frac{{27}}{{111}}$$

Q.2

A basket contains 4 red, 5 blue and 3 green marbles. If 2 marbles are drawn at random from the basket, What is the probability that both are red ?

$$\frac{{3}}{{7}}$$
$$\frac{{1}}{{2}}$$
$$\frac{{1}}{{11}}$$
$$\frac{{1}}{{6}}$$
None of these

Q.3

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.4

The probability that a card drawn from a pack of 52 cards will be a diamond or a king is -

$$\frac{{2}}{{13}}$$
$$\frac{{4}}{{13}}$$
$$\frac{{1}}{{13}}$$
$$\frac{{1}}{{52}}$$

Q.5

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

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

Q.6

Dev can hit a target 3 times in 6 shots pawan can hit the target 2 times in 6 shots and Lakhan can hit the target 4 times in 4 shots. What is the probability that at least 2 shots hit the target -

$$\frac{{2}}{{3}}$$
$$\frac{{1}}{{3}}$$
$$\frac{{1}}{{2}}$$
None of these

Q.7

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.8

A bag contains 4 red, 5 yellow and 6 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are yellow?

$$\frac{{1}}{{7}}$$
$$\frac{{3}}{{7}}$$
$$\frac{{2}}{{7}}$$
$$\frac{{5}}{{14}}$$
$$\frac{{9}}{{14}}$$

Q.9

An urn contains 2 red, 3 green and 2 blue balls. If 2 balls are drawn at random, find the probability that no ball is blue.

$$\frac{5}{7}$$
$$\frac{10}{21}$$
$$\frac{2}{7}$$
$$\frac{11}{21}$$
None of these

Q.10

Two dice are tossed. The probability that the total score is a prime number is-

$$\frac{1}{6}$$
$$\frac{1}{2}$$
$$\frac{5}{12}$$
$$\frac{7}{9}$$
None of these

Q.11

A box contains 10 black and 10 white balls. What is the probability of drawing 2 balls of the same colour ?

$$\frac{9}{19}$$
$$\frac{9}{38}$$
$$\frac{10}{19}$$
$$\frac{5}{19}$$
None of these

Q.12

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that the selected students are 2 boys and 1 girls, is:

$$\frac{21}{46}$$
$$\frac{25}{117}$$
$$\frac{1}{50}$$
$$\frac{3}{25}$$
None of these

Q.13

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

$$\frac{{4}}{{15}}$$
$$\frac{{5}}{{27}}$$
$$\frac{{1}}{{3}}$$
$$\frac{{2}}{{445}}$$
None of these

Q.14

An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If 4 marbles are picked up at random, what is the probability that at least one of them is blue?

$$\frac{4}{15}$$
$$\frac{69}{91}$$
$$\frac{11}{15}$$
$$\frac{22}{91}$$
None of these

Q.15

In a simultaneous throw of two coins, the probability of getting at least one head is-

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

Q.16

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

$$\frac{{1}}{{13}}$$
$$\frac{{2}}{{13}}$$
$$\frac{{1}}{{26}}$$
$$\frac{{1}}{{52}}$$

Q.17

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

$$\frac{{1}}{{2}}$$
$$\frac{{3}}{{4}}$$
$$\frac{{3}}{{8}}$$
$$\frac{{5}}{{16}}$$

Q.18

A box contains 20 electric bulbs, out of which 4 are defective. Two balls are chosen at random from this box. The probability that at least one of them is defective, is -

$$\frac{4}{19}$$
$$\frac{7}{19}$$
$$\frac{12}{19}$$
$$\frac{21}{95}$$
None of these

Q.19

In a simultaneous throw of two dice, what is the probability of getting a total of 7?

$$\frac{1}{6}$$
$$\frac{1}{4}$$
$$\frac{2}{3}$$
$$\frac{3}{4}$$

Q.20

One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ?

$$\frac{1}{2}$$
$$\frac{6}{13}$$
$$\frac{7}{13}$$
$$\frac{27}{52}$$

Q.21

In a simultaneous throw of two dice, what is the probability of getting a doublet ?

$$\frac{{1}}{{6}}$$
$$\frac{{1}}{{4}}$$
$$\frac{{2}}{{3}}$$
$$\frac{{3}}{{7}}$$

Q.22

From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?

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

Q.23

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.24

A bag contains 4 red balls, 6 blue balls and 8 pink balls. One ball is drawn at random and replaced with 3 pink balls. A probability that the first ball drawn was either red or blue in colour and the second drawn was pink in colour ?

$$\frac{12}{21}$$
$$\frac{13}{17}$$
$$\frac{11}{30}$$
$$\frac{13}{18}$$
None of these

Q.25

In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, What is the probability that he has offered English or Hindi ?

$$\frac{{2}}{{5}}$$
$$\frac{{3}}{{5}}$$
$$\frac{{3}}{{4}}$$
$$\frac{{3}}{{10}}$$
None of these

Q.26

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is-

$$\frac{1}{13}$$
$$\frac{2}{13}$$
$$\frac{1}{26}$$
$$\frac{1}{52}$$

Q.27

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

$$\frac{{1}}{{22}}$$
$$\frac{{3}}{{22}}$$
$$\frac{{2}}{{91}}$$
$$\frac{{2}}{{77}}$$

Q.28

Two dice are tossed. The probability that the total score is a prime number is:

$$\frac{{1}}{{6}}$$
$$\frac{{5}}{{12}}$$
$$\frac{{1}}{{2}}$$
$$\frac{{7}}{{9}}$$

Q.29

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

$$\frac{{3}}{{20}}$$
$$\frac{{29}}{{34}}$$
$$\frac{{47}}{{100}}$$
$$\frac{{13}}{{102}}$$

Q.30

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

$$\frac{{21}}{{46}}$$
$$\frac{{25}}{{117}}$$
$$\frac{{1}}{{50}}$$
$$\frac{{3}}{{25}}$$

0 h : 0 m : 1 s